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a perpendicular bisector, , is drawn through point c on .
if the coordinates of point a are (-3, 2) and the coordinates of point b are (7, 6), the x-intercept of is . point lies on .

The following steps are needed:

1. Find the function of AB with A(-3,2) and B(7,6)

y(AB) = mx + b. Calculate m = (y₂-y₁)/(x₂-x₁) = (6-2)/(7+3) = 4/10 → 2/5

y(AB) = (2/5).x + b. Calculate b; 6 = (2/5).(7) + b and b = 16/5

y(AB) = (2/5).x +16/5

2. calculate the function y(CD) = mx + bWe know already m = -5/2, since CD is perpendicular to AB and hence the product of their slopes = -1

y(CD) = -(5/2).x + b

We also know that y(CD) passes in the middle of AB, then let's calculate the coordinate of C, the midpoint of AB:x=(x₁+x₂)/2 and y=(y₁+y₂)/2)x= (-3+7)/2 and y=(2+6)/2x= 2 and y=4y(CD) = (-5/2).x +b4 = (-5/2).(2)+b and b = 9y(CD) =(-5/2)x + 9

x intercept when y = 0 → 0= (-5/2)x +9 → x= 18/5So x intercept (18/5,0) 

So the answer is at point B.

The x- intercept of CD is B(18/5,0) and point C(32,-71) lies on CD

Step-by-step explanation:

We are given that a perpendicular bisector CD is drawn through point C on AB.

The coordinates of point A are (-3,2)

The coordinates pf point B are (7,6).

We have to find the x-intercept of CD

Slope formula:

By using the formula

Slope of AB=

Slope of CD=

When two lines are perpendicular then slope of one line is equal to negative reciprocal of slope of other line.

Mid point of AB

The mid-point of AB is at (2,4)

By using mid-point formula

The equation of line CD is passing through the point (2,4)  with slope -5/2 is given by

By using point slope form:

Substitute y=0

Hence, the x- intercept of CD is (18/5,0).

Substitute x=-52

Substitute x=-20

Substitute x=32

Substitute x=-54

Hence, point C(32,-71) lies on CD.

answer: the answer is 30 miles per hour.

ft/s -> mphmph = ft/s 1.466667mph = 44 divided by 1.466667mph = 30.00000

- r3ktforgood ☕