Heyo last math question for the day- (will give brainliest to best answer)

Rectangle R was dilated to form rectangle R'.
Which is the scale factor of the dilation?

A 5/4
B 2/1
C 5/2
D 5/1

C 5/2

Step-by-step explanation:

we can observe that going from R to R' is an expansion (increase in size) and hence the scale factor must be greater than 1 (i.e the numerator must be larger than the denominator)

the scale factor is simply the ratio of any 2 corresponding sides.

Lets pick the short sides

Short side of R' / Short side of R

= 10/4

= 5/2

d is the correct answer

step-by-step explanation:

x= 8 because 3x = 3 * 8, and 3*8 = 24

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4