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)

a) justify

step-by-step explanation:

justifying is just part of everyday life. justify kind of means proof so i think the answer is a) justify.

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this