201 A quadrilateral with vertices at A(4,-4), B(4, -16), C(12, -16), and D(12, -4) has been dilated with a center at the origin. The image of D, point d', has coordinates (36,-12). What is the scale factor of the dilation?​

D Is the answer

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)