ABC has vertices A(2, 2), B(3, 4), and C(5,2). What are the coordinates of point C of the image of the triangle after a dilation centered at the origin with a scale factor of 2.5?
A (7.5, 6.5)
B (5,5)
C (7.5, 10)
D (12.5,5)

c

Step-by-step explanation:

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!