Answer:
B
Step-by-step explanation:
Given
y² - 12y + 32
Consider the factors of the constant term (+ 32) which sum to give the coefficient of the y- term (- 12)
The factors are - 4 and - 8, since
- 4 × - 8 = 32 and - 4 - 8 = - 12, thus
y² - 12y + 32 = (y - 4)(y - 8) → B
Easy peasy
the midpoint between
![(x_1,y_1)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29)
and
![(x_2,y_2)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29)
is
![(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})](https://tex.z-dn.net/?f=%28%5Cfrac%7Bx_1%2Bx_2%7D%7B2%7D%2C%5Cfrac%7By_1%2By_2%7D%7B2%7D%29)
just average them
so given that (3,5) is the midpoint of (-4,5) and (x,y)
![(\frac{-4+x}{2},\frac{5+y}{2})=(3,5)](https://tex.z-dn.net/?f=%28%5Cfrac%7B-4%2Bx%7D%7B2%7D%2C%5Cfrac%7B5%2By%7D%7B2%7D%29%3D%283%2C5%29)
so by logic
![\frac{-4+x}{2}=3](https://tex.z-dn.net/?f=%5Cfrac%7B-4%2Bx%7D%7B2%7D%3D3)
and
![\frac{5+y}{2}=5](https://tex.z-dn.net/?f=%5Cfrac%7B5%2By%7D%7B2%7D%3D5)
times both sides by 2 for everybody
-4+x=6 and 5+y=10
add 4 to both sides for left one and minus 5 from both sides for right
x=10 and y=5
the coordinate of point C is (10,5)
the x coordinate is 10
It’s b , i hope it’s not wrong :)
Sorry but, question is not completely seen