Which graph shows the dilation image of rectangle abcd with the center of dilation at the origin and a scale factor of 1.5? (first picture is the one you have to dilate.

The correct graph will be the second option.

Explanation

Co ordinates of the original rectangle ABCD are : A(-6, 0) , B(0, 6) , C(6, 0) and D(0, -6)

Dilation at the origin with a scale factor means, we need to multiply both x and y co ordinates of each point by the scale factor.

Here, scale factor is given as 1.5

So, dilation points of A, B, C and D:

So, the correct graph will be the second option.

a28=58

step-by-step explanation:

a1=a1+(n-1)d

a28= 4+ (28-1)2

a28=4+(27)(2)

a28=4+54

a28=58

2(2x + 3) = -4 + 2(2x + 5)

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 6

4x - 6 + 6 = 4x - 6 + 6

4x = 4x

x = x

unlimited solutions.