QuestionFind the midpoint of the segment with endpoints A(1.8,-4.3) and B(-5.6,-6.5). Options: (-3.8,-10.8), (-1.9,-5.4), (3.7,5.4), (7.4,10.8).

Studdy Solution

STEP 1

Assumptions1. The coordinates of point A are (1.8, -4.3) . The coordinates of point B are (-5.6, -6.5)
3. The midpoint of a line segment with endpoints A(x1, y1) and B(x, y) is given by the formula ((x1+x)/, (y1+y)/)

STEP 2

First, we need to find the x-coordinate of the midpoint. We can do this by adding the x-coordinates of points A and B and dividing by2.
$Midpoint_x = (x1 + x2) /2$

STEP 3

Now, plug in the given values for the x-coordinates of points A and B to calculate the x-coordinate of the midpoint.
$Midpoint_x = (1.8 + -5.6) /2$

STEP 4

Calculate the x-coordinate of the midpoint.
$Midpoint_x = (-3.8) /2 = -1.9$

STEP 5

Next, we need to find the y-coordinate of the midpoint. We can do this by adding the y-coordinates of points A and B and dividing by2.
$Midpoint_y = (y1 + y2) /2$

STEP 6

Now, plug in the given values for the y-coordinates of points A and B to calculate the y-coordinate of the midpoint.
$Midpoint_y = (-4.3 + -6.5) /2$

STEP 7

Calculate the y-coordinate of the midpoint.
$Midpoint_y = (-10.) /2 = -5.4$

STEP 8

Finally, we can form the coordinates of the midpoint by combining the x-coordinate and y-coordinate.
$Midpoint = (Midpoint_x, Midpoint_y)$

STEP 9

Plug in the values for the x-coordinate and y-coordinate of the midpoint to form the coordinates of the midpoint.
$Midpoint = (-.9, -5.4)$ The midpoint of the line segment with endpoints $A(.8,-4.3)$ and $B(-5.6,-6.5)$ is $(-.9, -5.4)$ .

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QuestionFind the midpoint of the segment with endpoints A(1.8,-4.3) and B(-5.6,-6.5). Options: (-3.8,-10.8), (-1.9,-5.4), (3.7,5.4), (7.4,10.8).

Studdy Solution

STEP 1

Assumptions1. The coordinates of point A are (1.8, -4.3) . The coordinates of point B are (-5.6, -6.5)
3. The midpoint of a line segment with endpoints A(x1, y1) and B(x, y) is given by the formula ((x1+x)/, (y1+y)/)

STEP 2

First, we need to find the x-coordinate of the midpoint. We can do this by adding the x-coordinates of points A and B and dividing by2.
$Midpoint_x = (x1 + x2) /2$

STEP 3

Now, plug in the given values for the x-coordinates of points A and B to calculate the x-coordinate of the midpoint.
$Midpoint_x = (1.8 + -5.6) /2$

STEP 4

Calculate the x-coordinate of the midpoint.
$Midpoint_x = (-3.8) /2 = -1.9$

STEP 5

Next, we need to find the y-coordinate of the midpoint. We can do this by adding the y-coordinates of points A and B and dividing by2.
$Midpoint_y = (y1 + y2) /2$

STEP 6

Now, plug in the given values for the y-coordinates of points A and B to calculate the y-coordinate of the midpoint.
$Midpoint_y = (-4.3 + -6.5) /2$

STEP 7

Calculate the y-coordinate of the midpoint.
$Midpoint_y = (-10.) /2 = -5.4$

STEP 8

Finally, we can form the coordinates of the midpoint by combining the x-coordinate and y-coordinate.
$Midpoint = (Midpoint_x, Midpoint_y)$

STEP 9

Plug in the values for the x-coordinate and y-coordinate of the midpoint to form the coordinates of the midpoint.
$Midpoint = (-.9, -5.4)$ The midpoint of the line segment with endpoints $A(.8,-4.3)$ and $B(-5.6,-6.5)$ is $(-.9, -5.4)$ .

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QuestionFind the midpoint of the segment with endpoints A(1.8,-4.3) and B(-5.6,-6.5). Options: (-3.8,-10.8), (-1.9,-5.4), (3.7,5.4), (7.4,10.8).

Studdy Solution

STEP 1

Assumptions1. The coordinates of point A are (1.8, -4.3) . The coordinates of point B are (-5.6, -6.5)3. The midpoint of a line segment with endpoints A(x1, y1) and B(x, y) is given by the formula ((x1+x)/, (y1+y)/)

STEP 2

First, we need to find the x-coordinate of the midpoint. We can do this by adding the x-coordinates of points A and B and dividing by2.Midpointx=(x1+x2)/2Midpoint_x = (x1 + x2) /2Midpointx​=(x1+x2)/2

STEP 3

Now, plug in the given values for the x-coordinates of points A and B to calculate the x-coordinate of the midpoint.Midpointx=(1.8+−5.6)/2Midpoint_x = (1.8 + -5.6) /2Midpointx​=(1.8+−5.6)/2

STEP 4

Calculate the x-coordinate of the midpoint.Midpointx=(−3.8)/2=−1.9Midpoint_x = (-3.8) /2 = -1.9Midpointx​=(−3.8)/2=−1.9

STEP 5

Next, we need to find the y-coordinate of the midpoint. We can do this by adding the y-coordinates of points A and B and dividing by2.Midpointy=(y1+y2)/2Midpoint_y = (y1 + y2) /2Midpointy​=(y1+y2)/2

STEP 6

Now, plug in the given values for the y-coordinates of points A and B to calculate the y-coordinate of the midpoint.Midpointy=(−4.3+−6.5)/2Midpoint_y = (-4.3 + -6.5) /2Midpointy​=(−4.3+−6.5)/2

STEP 7

Calculate the y-coordinate of the midpoint.Midpointy=(−10.)/2=−5.4Midpoint_y = (-10.) /2 = -5.4Midpointy​=(−10.)/2=−5.4

STEP 8

Finally, we can form the coordinates of the midpoint by combining the x-coordinate and y-coordinate.Midpoint=(Midpointx,Midpointy)Midpoint = (Midpoint_x, Midpoint_y)Midpoint=(Midpointx​,Midpointy​)

STEP 9

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Assumptions1. The coordinates of point A are (1.8, -4.3) . The coordinates of point B are (-5.6, -6.5)
3. The midpoint of a line segment with endpoints A(x1, y1) and B(x, y) is given by the formula ((x1+x)/, (y1+y)/)

First, we need to find the x-coordinate of the midpoint. We can do this by adding the x-coordinates of points A and B and dividing by2.
$Midpoint_x = (x1 + x2) /2$

Now, plug in the given values for the x-coordinates of points A and B to calculate the x-coordinate of the midpoint.
$Midpoint_x = (1.8 + -5.6) /2$

Calculate the x-coordinate of the midpoint.
$Midpoint_x = (-3.8) /2 = -1.9$

Next, we need to find the y-coordinate of the midpoint. We can do this by adding the y-coordinates of points A and B and dividing by2.
$Midpoint_y = (y1 + y2) /2$

Now, plug in the given values for the y-coordinates of points A and B to calculate the y-coordinate of the midpoint.
$Midpoint_y = (-4.3 + -6.5) /2$

Calculate the y-coordinate of the midpoint.
$Midpoint_y = (-10.) /2 = -5.4$

Finally, we can form the coordinates of the midpoint by combining the x-coordinate and y-coordinate.
$Midpoint = (Midpoint_x, Midpoint_y)$