Browse Coordinates problems Studdy Solved!

Problem 101

How many solutions does this system of equations have? Exactly two Infinitely many None Exactly one

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Problem 102

5. MULTIPLE CHOICE Determine the slope of the line that passes through the points $(4,10)$ and $(2,10)$ . (Lesson 4-2) A. -1 B. 0 C. 1 D. undefined

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Problem 103

Solve the system of equations by graphing: $\left\{\begin{array}{l} y=x-5 \\ y=-x+1 \end{array}\right.$
First graph each line, then place a dot indicating the solution to the system. Clear All Draw:
Question Help: Video Submit Question Question 9

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Problem 104

tantukan parsamaan kastasius konik yang diketahus sieatnya Sebagal berkut elies dengan purat ( 1,2 ) Satufokus di $(4,2)$ dan 9 any tangan Panjang Sama dengan 10

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Problem 105

A horizontal line is written in the form $y=a$ , where $a$ represents the line's $y$ -intercept.
The equation of the horizontal line graphed above is $\qquad$

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Problem 106

40. Gambarlah grafik persamaan $r=5 \sin \theta \text { dan } r=2+\sin \theta$ tentukan titik potongnya.

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Problem 107

Utilizando la gráfica, determina la ecuación del eje de simetría.

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Problem 108

The point $N$ lies on the segment $\overline{M P}$ . Find the coordinates of $N$ so that the ratio of $M N$ to $N P$ is 3 to 4. $\begin{array}{l} N_{x}=\frac{n}{m+n} M_{x}+\frac{m}{m+n} P_{x} \\ N_{y}=\frac{n}{m+n} M_{y}+\frac{m}{m+n} P_{y} \end{array}$
Find the coordinates of point N : Submit and Explain

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Problem 109

15) Find the slope and $y$ -intercept from the following graph of a linear equation. (A) slope $=4$ and $y$ -intercept $=3$ (B) slope $=3$ and $y$ -intercept $=4$ (C) slope $=4$ and $y$ -intercept $=5$ (D) slope $=5$ and $y$ -intercept $=4$

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Problem 110

What is the slope of the line? (A) $2 / 5$ (8) $5 / 2$ (c) $-2 / 5$ (c) $1 / 3$

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Problem 111

Given the ordered pairs, determine if $\widehat{A B}$ and $\overrightarrow{C D}$ are parallel perpendicular, or neither. $\begin{array}{l} A(-8,3), B(-12,-2) \\ C(-7,-3), D(-2,-7) \end{array}$

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Problem 112

Assignment 3.2 and 4.1 (Question 8) Print
Name: Jude Elsayed Date: 2024-11-13 Official Time: 10:07:47 Question 8 [3 points] Find the vector equation for the line passing through the points $P_{1}(10,-2,2)$ and $P_{2}(3,-4,3)$ . $\left[\begin{array}{l} x \\ y \\ z \end{array}\right]=\left[\begin{array}{l} 0 \\ 0 \\ 0 \end{array}\right]+t\left[\begin{array}{l} 0 \\ 0 \\ 0 \end{array}\right]$ SUBMIT AND MARK

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Problem 113

Consider parallelogram GHJK below.
Note that $G H J K$ has vertices $G(-4,2), H(1,3), J(4,-4)$ , and $K(-1,-5)$ . Answer the following to determine if the parallelogram is a rectangle, rhombus, square, or none of these. (a) Find the slope of $\overline{H J}$ and the slope of a side adjacent to $\overline{H J}$ .
Slope of $\overline{H J}$ : $\square$
Slope of side adjacent to $\overline{H J}$ : $\square$ (b) Find the length of $\overline{H J}$ and the length of a side adjacent to $\overline{H J}$ . Give exact answers (not decimal approximations).
Length of $\overline{H J}$ : $\square$
Length of side adjacent to $\overline{H J}$ : $\square$ (c) From parts (a) and (b), what can we conclude about parallelogram $G H J K$ ? Check all that apply.

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Problem 114

Problème 11 Lors d'un tour en montgolfière, l'altitude par rapport au sol est modélisé selon la fonction suivante :
Etant à la merci de la force et de la direction du vent, il est parfois difficile de contrôler une montgolfière. Afin de ne pas interférer avec les corridors de vol des différents aėronefs, une montgolfière ne doit pas voler à plus de $1200 m$ d'altitude. Pendant combien de temps la montgolfière et ses voyageurs étaient-ils à une altitude à risque?

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Problem 115

Find the coordinates of point $D$ in each diagram: a. b.

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Problem 116

ructor: Class meeting Time: olem1 ( 33 pts ). Choose The Correct Answer And Put Your Answer in The Table Below. The distance between a line $x=1+t, y=1+2 t, z=-3 t$ and a plane $2 x+3 y+6 z=12$ is (a) 1 (b) 2 (c) 3 (d) 4 (e) 0

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Problem 117

\begin{problem} If the graph is that of a function, what are its intercepts? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The intercepts are $\square$ (Type an ordered pair. Use a comma to separate answers as needed.)
B. There are no intercepts.
C. The graph is not a function.
An example: The y-intercept is $(0,7)$ . \end{problem}

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Problem 118

Find the distance between the two points in simplest radical form.

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Problem 119

Graph this inequality: $2 x+3 y>12$
Plot points on the boundary line. Select the line to switch between solid and dotted. Select a region to shade it.

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Problem 120

This graph gives Selma's distance from home over time. What does the slope of the line show in this situation?
Select from the drop-down menus to correctly complete each statement.
For this situation, the slope of the line represents Choose...
The slope is Choose $\square$ from home Choose. $\square$ which means that Selma's distance by $\square$ Choose miles per hour.
Selma's Distance from Home

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Problem 121

Graph the following function on the axes provided. $f(x)=\left\{\begin{array}{lll} -x-2 & \text { for } & x<-1 \\ 2 & \text { for } & x>2 \end{array}\right.$
Click and drag to make a line. Click the line to delete it. Click on an endpoint of a line to change it.
Answer Attempt 1 out of $z$

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Problem 122

Find a vector a with representation given by the directed line segment $\overrightarrow{A B}$ . $A(-5,1), \quad B(2,4)$

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Problem 123

What is the slope of the line? $\square$

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Problem 124

4 Fill in the Blank 1 point
Use the coordinate grid to find the exact distance between $(-1,3)$ and $(6,-6)$ . Write the answer as a radical.
The exact distance between the points is the square root of $\square$ type your answer...

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Problem 125

6 Multiple Cholce 1 point Two points, $J$ and $S$ , have been plotted on the coordinate plane.
What is the exact distance between the points $J$ and $S$ ? 9 $\sqrt{289}$ $\sqrt{369}$ 27

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Problem 126

Graph this line: $y+7=\frac{1}{4}(x+5)$
Click to select points on the graph.

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Problem 127

$\left[y+2=\frac{1}{2}\left(x+5^{2}\right] \quad\right.$ SKETCH A) VERTEX: B) $\times 1 N T$ $\qquad$ c) YINT: $=\frac{5+z}{-1}$ p) (UR lDOWN (s)RCHE ONE) ). $m a x / m i n: y$ : $\qquad$ ق) Axis of Symm T TRY: $\qquad$ 5) Domnon: $\qquad$ $\qquad$ H). RAWGE: $\qquad$ -

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Problem 128

4) $\left[\begin{array}{c}2 \\ A\end{array}\right]$ Find the distance between the points $(-9,10)$ and $(-4,-2)$ . [xh, Round decimals to the nearest tenth. $\square$ units

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Problem 129

[5]) Find the distance between the points $(8,-5)$ and $(8,10)$ . [x].] Round decimals to the nearest tenth. 㷇 $\square$ units

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Problem 130

1) $\mathrm{S}^{4} \mathrm{~A}$ Find the distance between the points $(-3,-5)$ and $(7,10)$ . [x] Round decimals to the nearest tenth. [a] $\square$ units

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Problem 131

[文] Find the distance between the points $(-4,-9)$ and $(-4,3)$ . [xi] Round decimals to the nearest tenth. 84, $\square$ units

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Problem 132

新, Find the distance between the points $(1,7)$ and $(10,2)$ . [8] Round decimals to the nearest tenth. $\square$ units Submit

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Problem 133

5x, Find the distance between the points $(10,7)$ and $(2,2)$ , (x) Round docimaln to the noarest tenth. (xa) $\square$ units Submit

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Problem 134

Find the distance between the points $(10,10)$ and $(-7,1)$ . (5), Round decimals to the nearest tenth. ) 8 $\square$ units Submit

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Problem 135

Score on last try: 0 of $\mathbf{1}$ pts. See Details for more. You can retry this question below
The graphs of $y=x$ and $y=2$ are shown below. Plot the graph of $y=x+2$ using these two graphs. Clear All Draw: $\square$ Question Help: Message instructor Post to forum Submit Question
Combining Three Monomial Functions Understanding the Value of a Polynomial Function as the Sum of Two Function Values

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Problem 136

Find the point symmetric to $\left[\frac{7}{2}, \frac{\pi}{3}\right]$ about the $y$ -axis. $\left[-7, \frac{2 \pi}{3}\right]$ $\left[\frac{7}{2}, \frac{2 \pi}{3}\right]$ $\left[\frac{7}{2}, \frac{5 \pi}{6}\right]$ $\left[-\frac{7}{2}, \frac{\pi}{3}\right]$ $\left[7, \frac{2 \pi}{3}\right]$

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Problem 137

Graph the solution set. If there is no solution, indicate that the solution set is the empty set. $\begin{array}{r} 2 x+5 y \leq 5 \\ -3 x+4 y \geq 4 \end{array}$
Part: $0 / 4$
Part 1 of 4
First graph the solution to the individual inequalities. For the inequality $2 x+5 y \leq 5$ , select a test point. We have chosen $(0,0)$ . Test $(0,0)$ : $\begin{aligned} 2 x+5 y & \leq 5 \\ 2(0)+5(0) & \stackrel{?}{5} 5 \\ \square & \leq \square \end{aligned}$
The test point (Choose one) $\boldsymbol{\nabla}$ satisfy the original inequality.

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Problem 138

Find the slope of the line passing through the following pair of points. $(3,-2) \text { and }(-5,-4)$

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Problem 139

Convert the following polar coordinates to rectangular coordinates equations. (Here $a$ is a constant number.) $r=a$ $\square$ $r=a \sec (\theta)$ $\square$ $r=a \csc (\theta)$ $\square$ $r=2 a \sin (\theta)$ $\square$ $r=2 a \cos (\theta)$ $\square$ $r=a \sec (2 \theta)$ $\square$ $\theta=\frac{\pi}{4}$ $\square$
Drag or tap the options below to fill in the blanks $\left.x^{2}-y^{2}=a y=a y=x x^{2}+(y-a)^{2}=a^{2} x=a\right)^{2}+y^{2}=a^{2} x^{2}+y^{2}=a^{2}$

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Problem 140

For each equation, identify the vertex, focus, axis of symmetry, and directrix. Then graph the parabola.
1. $(x-3)^{2}=12(y-7)$
2. $(x+1)^{2}=-12(y-6$
3. $(y-4)^{2}=20(x+2)$
4. $-1(x+7)=(y+5)^{2}$
5. $(x+8)^{2}=8(y-3)$
6. $-40(x+4)=(y-9)$
7. $(y+5)^{2}=24(x-1)$
8. $2(y+12)=(x-6)^{2}$
9. $-4(y+2)=(x+8)^{2}$
10. $10(x+11)=(y+3)^{2}$

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Problem 141

A large room has tiles laid out in a regular pattern as below. \begin{tabular}{|l|l|l|l|l|l|l|l|} \hline & & & & & & & \\ \hline & & & & & & & \\ \hline & $2 m$ & & & & & & \\ \hline & & $2 m$ & & & & & \\ \hline & & & & & & & \\ \hline & & & & & & & \\ \hline & & & & & & & \\ \hline \end{tabular}
If each of these tiles is $2 \mathrm{~m} \times 2 \mathrm{~m}$ , how far is it (in a straight line) between the two marked points?
Distance $=$ $\square$ m.

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Problem 142

19. If $\mathrm{a}, \mathrm{b}$ and c are all negative, which of the following may represent the graph of $a x+b y+c=0 ?$ A. B. C. D.

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Problem 143

20. In the figure, find the coordinates of the mid-point of $A B$ . A. $\left(-\frac{7}{2},-\frac{35}{2}\right)$ B. $\left(-\frac{5}{2},-\frac{25}{4}\right)$ C. $\left(-\frac{5}{2},-\frac{37}{2}\right)$ D. $\left(\frac{7}{2}, \frac{35}{2}\right)$
By Ameina 20 Maple Tutorial Centre

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Problem 144

22. Gegeben sind die Punkte $A(3|0|-3)$ , $B(3|5|-3)$ und $D(-1|0| 0)$ . a) Berechnen Sie die Koordinaten des Punktes $C$ , sodass $A B C D$ ein Parallelogramm ist. b) Zeigen Sie, dass das Parallelogramm sogar ein Quadrat ist, indem Sie die Längen der Seiten miteinander vergleichen und auch die Längen der Diagonalen. c) Berechnen Sie die Koordinaten des Mittelpunktes M des Quadrats ABCD. Zeigen Sie, dass M auf der Geraden h
B liegt, welche durch $S(-7|2,5| 6,5)$ verläuft und den Richtungsvektor $\vec{v}=\left(\begin{array}{r}-1 \\ 0 \\ 1\end{array}\right)$ hat. d) Zeigen Sie, dass der Punkt S von den vier Eckpunkten des Quadrats gleich weit entfernt ist. Geben Sie an, welche Bedeutung dann die Strecke $\overline{M S}$ für die Pyramide mit Grundfläche $A B C D$ und Spitze $S$ hat. e) Berechnen Sie das Volumen der Pyramide.

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Problem 145

Which expression gives the distance between the points $(4,-2)$ and $(4,-5)$ ? Use the coordinate grid to help you find the answer.

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Problem 146

UTLNE coorde the ordered pair, $(-3.5,4.5)$ , on the Item 7
Item 8
Item 9
Item 10
Item 11
Item 12
Item 13

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Problem 147

1. We want to find the slope of the line passing through the points $A(1,4)$ and $B(8,25)$ .
You can use this $x y$ -plane and the sketchpad to plot the points and the line.
10. First, find the rise (change in the $y$ -value) between points $A$ and $B$ .

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Problem 148

PROBLEM 2: GRAPHING A LINE USING INTERCEPTS Graph each equation using the $x$ - and $y$ -intercepts.
9. $x-2 y=-2$
10. $2 x+5 y=20$
11. $2 x-3 y=12$
12. $-x+3 y=6$
13. $6 x-2 y=18$
14. $-4 x+3 y=18$
PROBLEM 3: GRAPHING HORIZONTAL AND VERTICAL LINES If $A=0$ in the standard form $A x+B y=C$ , then you can write the equation in the form $y=b$ , where $b$ is a constant. If $B=0$ , you can write the equation in the form $x=a$ , where $a$ is a constant. The graph of $y=b$ is a horizontal line, and the graph of $x=a$ is a vertical line.

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Problem 149

1. What is the slope of the line in the graph below,

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Problem 150

The graph of a function is given below. Give all $x$ -intercepts and $y$ -intercepts shown.
If there is more than one answer, separate them with comm Click on "None" if applicable. ercept(s): $\square$ Try again ercept(s): $\square$ None

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Problem 151

Graphs and Functions Finding $x$ - and $y$ -intercepts given the graph of a line on a grid
Find the $x$ -intercept and the $y$ -intercept of the line below. (a) $x$ -intercept: $\square$ None Explanation Check

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Problem 152

16/19
What are the coordinates of the $y$ -intercept? $(2,1)$ $(-3,0)$ $(0,-5)$ $y=-3$

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Problem 153

What is the length of the line segment with endpoints $(11,-4)$ and $(-12,-4) ?$
Enter your answer in the box. $\square$ units

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Problem 154

Consider the following pair of points. $(0,-9) \text { and }(1,-1)$
Step 1 of 2: Determine the distance between the two points.
Answer

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Problem 155

Do Now Practice
Calculate the slope of the line containing the points: i) $(1,1)$ and $(2,2)$ ii) (1, 2) and (2, 1) iii) $(5,1)$ and $(2,1)$

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Problem 156

2 atson, Mizhane
What is the equation of the line that passes through the point $(-2,7)$ and has a slope of zero? (A) $x=7$ (B) $y=-2$ (C) $x=-2$ (D) $y=7$

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Problem 157

10. A line is graphed on a coordinate grid.
Which statement best describes the line? The equation of the line is $x=6$ , and the slope is equal to 0 .
The equation of the line is $y=6$ , and the slope is equal to 0 . The equation of the line is $x=6$ , and the slope is undefined.

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Problem 158

Solve the following system of equations graphically on the set of axes below. $\begin{array}{c} y=-\frac{3}{2} x-8 \\ x-2 y=8 \end{array}$
Plot two lines by clicking the graph. Click a line to delete it.

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Problem 159

Estimate the $x$ - and $y$ -intercepts of the graph. x-intercept: 2 $y$ -intercept: 1 $x$ -intercept: 2 $y$ -intercept:-1 $x$ -intercept: -2 $y$ -intercept:-1 $x$ -intercept: -2 $y$ -intercept: 1 $x$ -intercept: 1 $y$ -intercept: 2

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Problem 160

3.
Equation: $\qquad$

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Problem 161

Die Fahrnadtour Am Wandentag eines Gymnasiums in Engelskirchen plant eine Klasse eine Fahrrädtour. Die Lehrerin befürchtet, dass ungeibbte Radfahrer an steileren Stellen absteigen und das Rad schieben müssen. So schnell wollen die Schüler nicht aufgeben; sie suchen deshalb eine geeignete Strecke aus und vérsuchen, die Be fügchtungen ihrer Lehrerin zu widerlegen.
Abbac Höhenprofil der Fahrradtour.
1. Aufgabe:
Es lassen sich mittlere. Steigungen zwischen je 2 Punkten bestimmen; veranschauliche dies im Höhenprofilgraphen durch Einzeichnen geeigneter VerbinUungsstrecken.
2. Aufgabe:
Bestimmé die mittleren Steigungen zwischen a) P2 und P3 c) PG und P7 b) $P 4$ und $P 5$ d) $P 8$ und $P 9$
3. Aufgabe:
Entwickle eine allgemeine Form zur Bestimung der mittleren Steigung eines streckerbschnittes.

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Problem 162

A. Exercises
Use the $x$ -and $y$ -intercepts to graph each linear equation.
1. $x+y=2$
2. $x-2 y=6$
4. $2 x-y=3$
5. $4 x+2 y=12$
3. $5 x-3 y=15$
6. $2 x+y=4$
Use the $y$ -intercept and slope to graph each linear equation.
7. $y=x-5$
8. $y=3 x$
10. $3 x+y=1$
11. $x+3 y=12$
9. $y=2 x+3$
Graph both the horizontal and the vertical line that contain the sive
13. $(2,3)$
14. $(-1,-4)$
Write the equation of each graphed line in slope-interces $\quad$ 15. $(-5,4)$

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Problem 163

07 Fill in the Blank Dropdown
The graph of $\mathrm{g}(\mathrm{x})$ is shown on the grid below. Answer the questions that follow. (a) On what interval is the function increasing? $(-\infty,-2) \cup(0,2) \sim$ (b) On what interval is the function decreasing? $(-2,0) \cup(2, \infty)$ (c) On what interval is the function $g(x)>0$ ? $(-3,3)$ (d) On what interval is the function $g(x)<0$ ? $(-3,3)$
Parts (e)-(h) on following slide Search

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Problem 164

Question 33
Find the distance between $X(-3,8)$ and $Z(-5,1)$ . Round to the nearest tenth, if necessary. $\square$ units

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Problem 165

Question 34
Find the distance between $C(2,4)$ and $D(5,7)$ . Round to the nearest tenth, if necessary. about $\square$ units

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Problem 166

Question Watch Video Show Examples
What is an equation of the line that passes through the points $(2,5)$ and $(3,6)$ ?
Answer Attempt 1 out of 2 Submit Answer

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Problem 167

of Lines
Question Watch Video Show Examples bints (Point
What is an equation of the line that passes through the points $(5,-6)$ and $(-5,-2)$ ? = C from Answer Attempt 1 out of 2

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Problem 168

Question Watch Video Show Examples
What is an equation of the line that passes through the points $(1,3)$ and $(7,-3)$ ?
Answer Attempt 1 out of 2 $\square$ Submit Answer

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Problem 169

Question Show Exam
Find the distance between the two points in simplest radical form. $(8,6) \text { and }(3,-6)$

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Problem 170

Question Find the distance between the two points in simplest radical form. $(-8,-3) \text { and }(-1,4)$
Answer Attempt 1 out of 2

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Problem 171

$\text{Find the distance between the two points } (-5, 9) \text{ and } (4, -3).$

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Problem 172

Find the distance between the points $(7,0)$ and $(2,-9)$ . Write your answer as a whole number or a fully simplified radical expression. Do not round. $\square$ units

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Problem 173

3. Look at the figure. What is another name for $\overrightarrow{\mathrm{CA}}$ ?
$\overrightarrow{\mathrm{CB}}$
$\overrightarrow{B C}$
$\overrightarrow{A C}$
$\overrightarrow{C E}$

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Problem 174

Find the distance between the points $(-8,-1)$ and $(-3,-6)$ . Write your answer as a whole number or a fully simplified radical expression. Do not round. $\square$ units

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Problem 175

Fill in the blanks Enter intercepts as ordered pairs, aka points. Then Graph the parabola given in standard form. You ony need to graph the vertex and one other point Standard Form: $f(x)=x^{2}+2 x$
1. Does the parabola open up or down? Up $\odot$ Down
2. Vertex $(x, y)=(-1,1)$
3. $y$ -intercept $(x, y)=(0,0)$
4. Equation of the Axis of Symmetry: -1 syntax error this is not an equation. Clear All Draw:

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Problem 176

Study the coordinate plane below.
A certain polygon has its vertices at the following points: $(1,1),(1,8),(8,1)$ , and $(8,8)$ What is the best description of this polygon? A. triangle B. square C. pentagon D. trapezoid

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Problem 177

13. Graph the line perpendicular to $y=-\frac{3}{2} x+1$ that passes through the point at $(-3,-4)$ . Formula: $y-y_{1}=m\left(x-x_{1}\right)$
14. Graph the line that is parallel to $y=\frac{1}{2} x+1$ and passes through the point $(4,1)$ . Formula: $y-y_{1}=m\left(x-x_{1}\right)$

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Problem 178

```latex Determine whether the lines $\vec{r}(\lambda)$ and $\vec{s}(\mu)$ intersect, and, if they do intersect, find the point of intersection. ```

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Problem 179

$\begin{array}{l} y>-x-4 \\ y \leq \frac{1}{4} x+1 \end{array}$
Answer

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Problem 180

Solve the following system of equations graphically on the set of axes below $\begin{array}{c} y=2 x-8 \\ 3 x+y=-3 \end{array}$
Plot two lines by clicking the graph. click a line to delete it.

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Problem 181

6 A particle is projected from rest from a point along a smooth horizontal table at $0.7 \mathrm{~m} \mathrm{~s}^{-1}$ . The table is 1 m high and stands on horizontal ground. Given that it takes 2 seconds from the moment of projection until the ball hits the ground, work out the distance from the point $A$ to the edge of the table. (4 marks)

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Problem 182

Assessments / studyculx
Question 1 (a) The coordinates of three points are $A(2,-6), B(6,-12)$ , and $C(-4,3)$ . Find the perpendicular distance from $A$ to $\bar{B} C$ . Based on your answer, what can you conclude about the relationship between the points $A, B$ , and $C$ ?

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Problem 183

Answer $(-1,1)$ $(-1,9)$ $(6,10)$ $(2,1)$

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Problem 184

Find the axis of symmetry of the parabola defined by the equation $(y+6)^{2}=40(x+6)$ .

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Problem 185

What is the slope of the line that passes through the points $(5,-6)$ and $(9,-6)$ ? Write your answer in simplest form.

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Problem 186

What is the slope of the line that passes through the points $(2,-4)$ and $(5,2)$ ? Write your answer in simplest form.

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Problem 187

Find the slope of the line graphed below.

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Problem 188

Find the slope of the line graphed below.

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Problem 189

Find the distance between the given 7.8 9.1 8.2 6.5 6.3

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Problem 190

Distance and Midpoint
Find the distance between $(2,-3)$ and $(5,0)$ . $\sqrt{ } 2$ $\sqrt{ } 18$ $\sqrt{ } 13$ $\sqrt{ } 26$

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Problem 191

Distance and Mldpoint
Find the distance between $(0,0)$ and $(-5,-4)$ . V21 $\sqrt{ } 38$ V17 V41

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Problem 192

Given $a=5.3 \mathrm{~m}, b=2.65 \mathrm{~m}$ , and $W=5 \mathrm{~N} / \mathrm{m}$ ,
Plot out the shear and moment diagrams for the beam. To avoid losing marks, please note:
1. Make sure all answer fields are answered.
2. Note that the line should go from $A$ to $D$ in the positive $x$ direction. The in the question plot. If there are two points at the same location, the letter moment, while the other one is to the right of it.
3. You can drag the points or input them in the blanks below, in the syntax points have the correct x -coordinate given and cannot be changed.
4. Points with lower case letters are used to control the shape of the curve Their coordinates do not need to be precise.

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Problem 193

Distance and Midpoint
Find the midpoint for the segment with endpoints of $(3,2)$ and $(9,6)$ . $(9,6)$ $(6,4)$ $(12,8)$ $(2,9)$ $(8,4)$

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Problem 194

Distance and Midpoint
Find the midpoint for the segment with endpoints of $(-2,0)$ and $(4,-6)$ . $(2,-1)$ $(2,-4)$ $(1,-4)$ $(2,-3)$ $(1,-3)$

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Problem 195

15. Use the slope-intercept form to graph the equation $y=-6 x+2$

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Problem 196

Find the distance between the given points. 4 3 7 0 8

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Problem 197

6. Le mécanisme d'un lance-balles a été réglé pour que les balles suivent toujours la même trajectoire. Une première balle est lancée avec le lance-balles posé sur le sol. Une deuxième balle est lancée, mais, cette fois, le lance-balles est à 2 m du sol. Dans le plan cartésien ci-dessous, gradué en mètres, la portion de la parabole freprésente la trajectoire de la première balle et la portion de parabole $g$ , la trajectoire de la deuxième balle.
La règle de la fonction $f$ est la suivante : $f(x)=-0,12(x-10)^{2}+12$
Quelle est la distance entre les deux endroits où tombent les balles? zéro porabole $f$ $=-0.12(x-10)^{2}+12$ $(0,2)$ $-12$ $-12$

See Solution

Problem 198

A ball of mass 0.6 kg , initially at rest, is kicked directly toward a fence from a point 20 m away, as shown below.
The velocity of the ball as it leaves the kicker's foot is $16 \mathrm{~m} / \mathrm{s}$ at angle of $51^{\circ}$ above the horizontal. The top of the fence is 4 m high. The ball hits nothing while in flight and air resistance is negligible.
The acceleration due to gravity is $9.8 \mathrm{~m} / \mathrm{s}^{2}$ .
Determine the time it takes for the ball to reach the plane of the fence.
Answer in units of s.

See Solution

Problem 199

Let $Q(1,2,3)$ be a point in $\mathbb{R}^{3}, P_{1}: x-y+z=-1$ be a plane in $\mathbb{R}^{3}$ . (a) Find the parametric equations of the plane $P_{1}$ . (b) Find the general equation of the plane $P_{2}$ through $Q$ that is parallel to $P_{1}$ (c) Find the distance between the planes $P_{1}$ and $P_{2}$ .

See Solution

Problem 200

Solve the following system of equations graphically on the set of axes below $\begin{array}{c} y=-\frac{1}{3} x-1 \\ y=x+7 \end{array}$
Plot two lines by clicking the graph. Click a line to delete it.

See Solution

Coordinates

Problem 101

How many solutions does this system of equations have? Exactly two Infinitely many None Exactly one

Problem 102

5. MULTIPLE CHOICE Determine the slope of the line that passes through the points (4,10)(4,10)(4,10) and (2,10)(2,10)(2,10). (Lesson 4-2) A. -1 B. 0 C. 1 D. undefined

Problem 103

Solve the system of equations by graphing: {y=x−5y=−x+1\left\{\begin{array}{l} y=x-5 \\ y=-x+1 \end{array}\right.{y=x−5y=−x+1​First graph each line, then place a dot indicating the solution to the system. Clear All Draw:Question Help: Video Submit Question Question 9

Problem 104

tantukan parsamaan kastasius konik yang diketahus sieatnya Sebagal berkut elies dengan purat ( 1,2 ) Satufokus di (4,2)(4,2)(4,2) dan 9 any tangan Panjang Sama dengan 10

Problem 105

A horizontal line is written in the form y=ay=ay=a, where aaa represents the line's yyy-intercept.The equation of the horizontal line graphed above is \qquad

Problem 106

40. Gambarlah grafik persamaan r=5sin⁡θ dan r=2+sin⁡θr=5 \sin \theta \text { dan } r=2+\sin \thetar=5sinθ dan r=2+sinθ tentukan titik potongnya.

Problem 107

Utilizando la gráfica, determina la ecuación del eje de simetría.

Problem 108

Problem 109

15) Find the slope and yyy-intercept from the following graph of a linear equation. (A) slope =4=4=4 and yyy-intercept =3=3=3 (B) slope =3=3=3 and yyy-intercept =4=4=4 (C) slope =4=4=4 and yyy-intercept =5=5=5 (D) slope =5=5=5 and yyy-intercept =4=4=4

Problem 110

What is the slope of the line? (A) 2/52 / 52/5 (8) 5/25 / 25/2 (c) −2/5-2 / 5−2/5 (c) 1/31 / 31/3

Problem 111

Problem 112

Problem 113

Problem 114

Problem 115

Find the coordinates of point DDD in each diagram: a. b.

Problem 116

ructor: Class meeting Time: olem1 ( 33 pts ). Choose The Correct Answer And Put Your Answer in The Table Below. The distance between a line x=1+t,y=1+2t,z=−3tx=1+t, y=1+2 t, z=-3 tx=1+t,y=1+2t,z=−3t and a plane 2x+3y+6z=122 x+3 y+6 z=122x+3y+6z=12 is (a) 1 (b) 2 (c) 3 (d) 4 (e) 0

Problem 117

Problem 118

Find the distance between the two points in simplest radical form.

Problem 119

Graph this inequality: 2x+3y>122 x+3 y>122x+3y>12Plot points on the boundary line. Select the line to switch between solid and dotted. Select a region to shade it.

Problem 120

Problem 121

Problem 122

Find a vector a with representation given by the directed line segment ABundefined\overrightarrow{A B}AB. A(−5,1),B(2,4)A(-5,1), \quad B(2,4)A(−5,1),B(2,4)

Problem 123

What is the slope of the line? □\square□

Problem 124

4 Fill in the Blank 1 pointUse the coordinate grid to find the exact distance between (−1,3)(-1,3)(−1,3) and (6,−6)(6,-6)(6,−6). Write the answer as a radical.The exact distance between the points is the square root of □\square□ type your answer...

Problem 125

6 Multiple Cholce 1 point Two points, JJJ and SSS, have been plotted on the coordinate plane.What is the exact distance between the points JJJ and SSS ? 9 289\sqrt{289}289​ 369\sqrt{369}369​ 27

Problem 126

Graph this line: y+7=14(x+5)y+7=\frac{1}{4}(x+5)y+7=41​(x+5)Click to select points on the graph.

Problem 127

Problem 128

4) [2A]\left[\begin{array}{c}2 \\ A\end{array}\right][2A​] Find the distance between the points (−9,10)(-9,10)(−9,10) and (−4,−2)(-4,-2)(−4,−2). [xh, Round decimals to the nearest tenth. □\square□ units

Problem 129

[5]) Find the distance between the points (8,−5)(8,-5)(8,−5) and (8,10)(8,10)(8,10). [x].] Round decimals to the nearest tenth. 㷇 □\square□ units

Problem 130

1) S4 A\mathrm{S}^{4} \mathrm{~A}S4 A Find the distance between the points (−3,−5)(-3,-5)(−3,−5) and (7,10)(7,10)(7,10). [x] Round decimals to the nearest tenth. [a] □\square□ units

Problem 131

[文] Find the distance between the points (−4,−9)(-4,-9)(−4,−9) and (−4,3)(-4,3)(−4,3). [xi] Round decimals to the nearest tenth. 84, □\square□ units

Problem 132

新, Find the distance between the points (1,7)(1,7)(1,7) and (10,2)(10,2)(10,2). [8] Round decimals to the nearest tenth. □\square□ units Submit

Problem 133

5x, Find the distance between the points (10,7)(10,7)(10,7) and (2,2)(2,2)(2,2), (x) Round docimaln to the noarest tenth. (xa) □\square□ units Submit

Problem 134

Find the distance between the points (10,10)(10,10)(10,10) and (−7,1)(-7,1)(−7,1). (5), Round decimals to the nearest tenth. ) 8 □\square□ units Submit

Problem 135

Problem 136

Problem 137

Problem 138

Find the slope of the line passing through the following pair of points. (3,−2) and (−5,−4)(3,-2) \text { and }(-5,-4)(3,−2) and (−5,−4)

Problem 139

Problem 140

Problem 141

Problem 142

19. If a,b\mathrm{a}, \mathrm{b}a,b and c are all negative, which of the following may represent the graph of ax+by+c=0?a x+b y+c=0 ?ax+by+c=0? A. B. C. D.

Problem 143

Problem 144

Problem 145

Which expression gives the distance between the points (4,−2)(4,-2)(4,−2) and (4,−5)(4,-5)(4,−5) ? Use the coordinate grid to help you find the answer.

Problem 146

UTLNE coorde the ordered pair, (−3.5,4.5)(-3.5,4.5)(−3.5,4.5), on the Item 7Item 8Item 9Item 10Item 11Item 12Item 13

Problem 147

1. We want to find the slope of the line passing through the points A(1,4)A(1,4)A(1,4) and B(8,25)B(8,25)B(8,25).You can use this xyx yxy-plane and the sketchpad to plot the points and the line.10. First, find the rise (change in the yyy-value) between points AAA and BBB.

Problem 148

Problem 149

5. MULTIPLE CHOICE Determine the slope of the line that passes through the points $(4,10)$ and $(2,10)$ . (Lesson 4-2) A. -1 B. 0 C. 1 D. undefined

Solve the system of equations by graphing: $\left\{\begin{array}{l} y=x-5 \\ y=-x+1 \end{array}\right.$
First graph each line, then place a dot indicating the solution to the system. Clear All Draw:
Question Help: Video Submit Question Question 9

tantukan parsamaan kastasius konik yang diketahus sieatnya Sebagal berkut elies dengan purat ( 1,2 ) Satufokus di $(4,2)$ dan 9 any tangan Panjang Sama dengan 10

A horizontal line is written in the form $y=a$ , where $a$ represents the line's $y$ -intercept.
The equation of the horizontal line graphed above is $\qquad$

40. Gambarlah grafik persamaan $r=5 \sin \theta \text { dan } r=2+\sin \theta$ tentukan titik potongnya.

15) Find the slope and $y$ -intercept from the following graph of a linear equation. (A) slope $=4$ and $y$ -intercept $=3$ (B) slope $=3$ and $y$ -intercept $=4$ (C) slope $=4$ and $y$ -intercept $=5$ (D) slope $=5$ and $y$ -intercept $=4$

What is the slope of the line? (A) $2 / 5$ (8) $5 / 2$ (c) $-2 / 5$ (c) $1 / 3$

Find the coordinates of point $D$ in each diagram: a. b.

ructor: Class meeting Time: olem1 ( 33 pts ). Choose The Correct Answer And Put Your Answer in The Table Below. The distance between a line $x=1+t, y=1+2 t, z=-3 t$ and a plane $2 x+3 y+6 z=12$ is (a) 1 (b) 2 (c) 3 (d) 4 (e) 0

Graph this inequality: $2 x+3 y>12$
Plot points on the boundary line. Select the line to switch between solid and dotted. Select a region to shade it.

Find a vector a with representation given by the directed line segment $\overrightarrow{A B}$ . $A(-5,1), \quad B(2,4)$

What is the slope of the line? $\square$

4 Fill in the Blank 1 point
Use the coordinate grid to find the exact distance between $(-1,3)$ and $(6,-6)$ . Write the answer as a radical.
The exact distance between the points is the square root of $\square$ type your answer...

6 Multiple Cholce 1 point Two points, $J$ and $S$ , have been plotted on the coordinate plane.
What is the exact distance between the points $J$ and $S$ ? 9 $\sqrt{289}$ $\sqrt{369}$ 27

Graph this line: $y+7=\frac{1}{4}(x+5)$
Click to select points on the graph.

4) $\left[\begin{array}{c}2 \\ A\end{array}\right]$ Find the distance between the points $(-9,10)$ and $(-4,-2)$ . [xh, Round decimals to the nearest tenth. $\square$ units

[5]) Find the distance between the points $(8,-5)$ and $(8,10)$ . [x].] Round decimals to the nearest tenth. 㷇 $\square$ units

1) $\mathrm{S}^{4} \mathrm{~A}$ Find the distance between the points $(-3,-5)$ and $(7,10)$ . [x] Round decimals to the nearest tenth. [a] $\square$ units

[文] Find the distance between the points $(-4,-9)$ and $(-4,3)$ . [xi] Round decimals to the nearest tenth. 84, $\square$ units

新, Find the distance between the points $(1,7)$ and $(10,2)$ . [8] Round decimals to the nearest tenth. $\square$ units Submit

5x, Find the distance between the points $(10,7)$ and $(2,2)$ , (x) Round docimaln to the noarest tenth. (xa) $\square$ units Submit

Find the distance between the points $(10,10)$ and $(-7,1)$ . (5), Round decimals to the nearest tenth. ) 8 $\square$ units Submit

Find the slope of the line passing through the following pair of points. $(3,-2) \text { and }(-5,-4)$

19. If $\mathrm{a}, \mathrm{b}$ and c are all negative, which of the following may represent the graph of $a x+b y+c=0 ?$ A. B. C. D.

Which expression gives the distance between the points $(4,-2)$ and $(4,-5)$ ? Use the coordinate grid to help you find the answer.

UTLNE coorde the ordered pair, $(-3.5,4.5)$ , on the Item 7
Item 8
Item 9
Item 10
Item 11
Item 12
Item 13

1. We want to find the slope of the line passing through the points $A(1,4)$ and $B(8,25)$ .
You can use this $x y$ -plane and the sketchpad to plot the points and the line.
10. First, find the rise (change in the $y$ -value) between points $A$ and $B$ .

The graph of a function is given below. Give all $x$ -intercepts and $y$ -intercepts shown.
If there is more than one answer, separate them with comm Click on "None" if applicable. ercept(s): $\square$ Try again ercept(s): $\square$ None

Graphs and Functions Finding $x$ - and $y$ -intercepts given the graph of a line on a grid
Find the $x$ -intercept and the $y$ -intercept of the line below. (a) $x$ -intercept: $\square$ None Explanation Check

16/19
What are the coordinates of the $y$ -intercept? $(2,1)$ $(-3,0)$ $(0,-5)$ $y=-3$

What is the length of the line segment with endpoints $(11,-4)$ and $(-12,-4) ?$
Enter your answer in the box. $\square$ units

Consider the following pair of points. $(0,-9) \text { and }(1,-1)$
Step 1 of 2: Determine the distance between the two points.
Answer

Do Now Practice
Calculate the slope of the line containing the points: i) $(1,1)$ and $(2,2)$ ii) (1, 2) and (2, 1) iii) $(5,1)$ and $(2,1)$

2 atson, Mizhane
What is the equation of the line that passes through the point $(-2,7)$ and has a slope of zero? (A) $x=7$ (B) $y=-2$ (C) $x=-2$ (D) $y=7$

10. A line is graphed on a coordinate grid.
Which statement best describes the line? The equation of the line is $x=6$ , and the slope is equal to 0 .
The equation of the line is $y=6$ , and the slope is equal to 0 . The equation of the line is $x=6$ , and the slope is undefined.

Solve the following system of equations graphically on the set of axes below. $\begin{array}{c} y=-\frac{3}{2} x-8 \\ x-2 y=8 \end{array}$
Plot two lines by clicking the graph. Click a line to delete it.

Estimate the $x$ - and $y$ -intercepts of the graph. x-intercept: 2 $y$ -intercept: 1 $x$ -intercept: 2 $y$ -intercept:-1 $x$ -intercept: -2 $y$ -intercept:-1 $x$ -intercept: -2 $y$ -intercept: 1 $x$ -intercept: 1 $y$ -intercept: 2

3.
Equation: $\qquad$

Question 33
Find the distance between $X(-3,8)$ and $Z(-5,1)$ . Round to the nearest tenth, if necessary. $\square$ units

Question 34
Find the distance between $C(2,4)$ and $D(5,7)$ . Round to the nearest tenth, if necessary. about $\square$ units

Question Watch Video Show Examples
What is an equation of the line that passes through the points $(2,5)$ and $(3,6)$ ?
Answer Attempt 1 out of 2 Submit Answer

of Lines
Question Watch Video Show Examples bints (Point
What is an equation of the line that passes through the points $(5,-6)$ and $(-5,-2)$ ? = C from Answer Attempt 1 out of 2

Question Watch Video Show Examples
What is an equation of the line that passes through the points $(1,3)$ and $(7,-3)$ ?
Answer Attempt 1 out of 2 $\square$ Submit Answer

Question Show Exam
Find the distance between the two points in simplest radical form. $(8,6) \text { and }(3,-6)$

Question Find the distance between the two points in simplest radical form. $(-8,-3) \text { and }(-1,4)$
Answer Attempt 1 out of 2

$\text{Find the distance between the two points } (-5, 9) \text{ and } (4, -3).$

Find the distance between the points $(7,0)$ and $(2,-9)$ . Write your answer as a whole number or a fully simplified radical expression. Do not round. $\square$ units

3. Look at the figure. What is another name for $\overrightarrow{\mathrm{CA}}$ ?
$\overrightarrow{\mathrm{CB}}$
$\overrightarrow{B C}$
$\overrightarrow{A C}$
$\overrightarrow{C E}$

Find the distance between the points $(-8,-1)$ and $(-3,-6)$ . Write your answer as a whole number or a fully simplified radical expression. Do not round. $\square$ units