Consider the line 5x+2y=7
What is the slope of a line perpendicular to this line?
What is the slope of a line parallel to this line? Slope of a perpendicular line □ Tolope of a pat alicilime
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Show Examples Value Equations (Basic) L1 Value Inequalities (Level 1) Value Equations (Basic) L2
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4=∣−3a+4∣ Solve for all values of a in simplest form. Answer Attempt 2 out of 2
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a=0□a=
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6.07 Quiz: Similar Polygons
△ABC is similar to △QRS. Also, side AB measures 50 cm , side AC measures 60 cm , and side QS measures 6 cm . What is the measure of side QR ? Enter your answer in the box.
the measure of side QR=□ cm
5 VAT (Use with 18.5)
1 Where Hakim lives the VAT is 15%. How much must he pay for a movie that is priced at $60 (before VAT)? 2 A dress costs \195.50,including15%VAT.WhatisthecostbeforetheVATisadded?3A\100 shirt was discounted 15%. VAT of 15% was added to the sale price. What was the final cost of the shirt? 6 Hire purchase (Use with 18.6)
1 An item purchased on hire purchase had 29\% added to the original cost. If the cash price was $600, what was the hire purchase price? 2 Suzanne bought a music player on hire purchase by paying $1 down, and 12 payments of $52. What was her total cost? 7 Exchanging currency (Use after 18.7)
1 Amal paid TT$39.10 for lunch in Trinidad, and Che paid BB$14 for a similar lunch in Barbados. If the rate of exchange was BB$1=Π$3.20, who paid more for his lunch? 2 If US $1=BB$1.98, how many US dollars is BB $118.80 ?
A kite flying in the air has an 86-ft string attached to it, and the string is pulled taut. The angle of elevation of the kite is 53∘. Find the height of the kite. Round your answer to the nearest tenth.
86
53∘
ft
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SPRECALC7 11.1.048.MI. Find an equation for the parabola that has its vertex at the origin and satisfies the given conditions.
Focal diameter 5 and focus on the negative y-axis
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Find all values of m for which the equation has two complex (non-real) solutions. 4v+(m+3)=−5v2 Write your answer starting with m, followed by an equals sign or inequality symbol (for example, m<5). Reduce all fractions.
What does the law of cosines reduce to when dealing with a right triangle?
A. The Pythagorean theorem
B. The formula for a triangle's area
C. The formula for a triangle's area
D. The law of sines
64 is 4 times the difference between Sarah's age, a, and 44. Assume Sarah is older than 44. Write an equation to determine Sarah's age (a).
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Find Sarah's age.
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Natasha needs to save \$479.58 for a
vacation. She has saved \$149.88, and
earns \$7.85 an hour helping at the
playground. How many hours must she
work to meet her goal?
Challenge: A 3 kg model airplane is traveling at a speed of 33 m/s. The operator then increases the speed up to 45 m/s in 2 seconds. How much force did the engine need in order to make this change?
Find the equation of the line that contains the point (−2,−1) and is perpendicular to the line 2x+3y=9. Write the line in slope-intercept form, if possible. Graph the lines. Select the correct choice below and fill in the answer box to complete your choice.
A. The equation of the perpendicular line in slope-intercept form is □□. (Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.)
B. The equation of the perpendicular line cannot be written in slope-intercept form. The equation of the perpendicular line is □□.
(Simplify your answer. Use integers or fractions for any numbers in the equation.)
A 6-foot-3 person standing near a tree casts a 5-foot-long shadow. The tree casts a shadow that is 18 feet long. What is the height of the tree? Round to the nearest hundredth if necessary.
According to the graph, what is the value of the constant in the equation
below? Height = Constant ⋅ Width (1, 1.5)
(2, 3)
(4, 6)
(6, 9) A. 0.667
B. 1.5
C. 3
D. 2
A person is standing 150 feet from the base of a statue. If the statue is sitting on the ground and is 21 feet tall, what is the angle of elevation from the person's eye to the top of the statue? Assume the person's eye-level is 5.5 feet above the ground.
5.9°
7.3°
6.2°
8.0°
Verify that the origin is a regular singularity of each of the equations 2−6 and that the roots of the indicial equation (40.38) do not differ by an integer. Find, by the method of Frobenius, two independent solutions of each equation and intervals of convergence. 2. x2y′′+x(x+21)y′+xy=0.
At a certain college, it is estimated that at most 32% of the students ride bicycles to class. Does this seem to be a valid estimate if, in a random sample of 98 college students, 39 are found to ride bicycles to class? Use a 0.01 level of significance.
Click here to view page 1 of the standard normal distribution table.
Click here to view page 2 of the standard normal distribution table. Let a success be a student that rides a bicycle to class. Identify the null and alternative hypotheses.
A. H0: p=0.32H1: p<0.32 B. H0: p=0.32H1: p=0.32 C. H0: p>0.32H1: p=0.32 D. H0: p<0.32H1: p=0.32 E. H0: p=0.32H1: p=0.32 F. H0: p=0.32H1: p>0.32 Identify the critical region. Select the correct choice below and fill in the answer box(es) to complete your choice.
(Round to two decimal places as needed.)
A. z<
B. z< or z>
C. z>2.33 Find the test statistic.
z= (Round to two decimal places as needed.)
Quadratic Equations Unit Test Part 1 Which of the following quadratic equations is not solvable by grouping? 2x2−2x−10=0 2x2+14x+12=0 x2−2x+1=0 x2−12x+35=0
Use the tables to answer the question.
Jamal
Step 1: Set equation =0.
Step 2: Write quadratic equation as the product of two factors.
Step 3: Set each factor equal to 0.
Step 4: Solve each equation. x2+4x−12=0(x+6)(x−2)=0x+6=0 and x−2=0x=−6 and x=2 George
Step 1: Begin with the equation.
Step 2: Write quadratic equation as the product of two factors.
Step 3: Set each factor equal to 0.
Step 4: Solve each equation. x2+4x−5=7(x+5)(x−1)=7x+5=0 and x−1=0x=−5 and x=1 When trying to solve the quadratic equation x2+4x−5=7, Jamal and George each provided their work in the tables. Each said they used the Zero Product Property to solve the equation after step 2. Explain how you know the correct student's solution is accurate and how you know the incorrect student's solution is inaccurate.
Question 7
Given the circle equation: (x−2)2+(y−1)2=25, answer parts a-c. Question 7 Part A
Graph the circle (x−2)2+(y−1)2=25.
Upload a picture of your graph below. Question 7 Part B
For each point, determine if it is on the circle. If not, decide whether it is inside the circle or outside of the circle.
(4,0)
(-3, 3)
(-2,-2) Question 7 Part C
How can you use distance calculations to decide if a point is inside, on, or outside a circle?
Juan bought a \$ 16,100 truck, paid \$ 4,100 down, and took a loan with \$ 265.62 monthly for 4 years. Find:
(a) Total cost of the truck.
(b) Interest paid on the loan.
If 1585 plasma TVs are sold, how many flatscreen TVs were sold if the ratio is 3:5? Also, for 27,360 total seats sold, find general admission seats if the ratio is 4:5.