If the midpoint between (x,6) and (-9,14) is (8,10) find the value of x

x = 25

Step-by-step explanation:

Given the midpoint of two points (x1,y1) and (x2,y2) = ((x1 + x2) / 2, (y1 + y2) / 2))

Midpoint of (x,6) and (-9,14) = ((-9 + x) / 2, (14 + 6) / 2) = (8,10).

The y coordinates cancel out because the midpoints work, so we can set the x value of the first coordinate as a midpoint of the second coordinate.

(-9 + x)/2 = 8

×2 ×2

(-9 + x) = 16

-9 + x = 16

+9 +9

x - 9 + 9 = 16 + 9

x = 25

We can test this answer by substituting our answer back into the midpoint formula.

x = 25 → ((-9 + x) / 2, (14 + 6) / 2) = (8,10)

((-9 + 25) / 2, (14 + 6) / 2)) = (16/2, 20/2) = (8,10)

the answer

b. they are parallel and will never intersect.

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step-by-step explanation:

told you