Answer: the answer is A.4
Step-by-step explanation:
Dilation in this context is the transformation is an object into a larger one.
ABC is transformed to A'B'C'
To get the scale factor, we divide the coordinates of A'B'C' by ABC
i.e
A'/A = -28/-7, 32/8 = 4
Or
B'/B = 4/1, -28/-7 = 4
Or
C'/C = 28/7, 24/6 = 4
Easy
make denomenators the same
Step 1
multiply both sidesby (x)(c)(b+c)
(a)(c)(b+c)+(b)(x)(b+c)=(a)(x)(c)
Step 2
distribute
acb+ac²+xb²+bxc=axc
Step 3
minus (acb+ac²) from both sides
xb²+bxc=axc-acb-ac²
Step 4
minus axc from both sides
xb²+bxc-axc=-acb-ac²
Step 5
undistribute x
x(b²+bc-ac)=-acb-ac²
Step 6
divide both sides by (b²+bc-ac)