Help me solve this ASAP please

A: (-8,-2)

B: (-8,8)

C: (6,8)

D: (6,-2)

Step-by-step explanation:

First find coordinates of pre image.

Pre image coordinates:

A: (-4,-1)

B: (-4,4)

C: (3,4)

D: (3,-1)

To find the coordinates of a dilated image we simply multiply the x and y values of each coordinate by the scale factor (2)

Dilation being applied

A (-4,-1) > (-4*2,-1*2) > (-8,-2)

B (-4,4) > (-4*2,4*2) > (-8,8)

C (3,4) > (3*2,4*2) > (6,8)

D (3,-1) > (3*2,-1*2) > (6,-2)

So the coordinates of the image after a dilation with a scale factor of 2 are A'(-8,-2), B'(-8,8), C'(6,8) and D'(6,-2)

answer: sensy

step-by-step explanation:

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240