How would I plot this?

Step-by-step explanation:

As the center of dilation is A, it does not change.

As A is the origin, B is (12, 4)

So B' will be (12/4, 4/4) = (3, 1)

Or from A move 3 right and 1 up

As A is the origin, C is (8, - 8)

So C' will be (8/4, -8/4) = (2, -2)

Or from A move 2 right and 2 down.

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

image for option 4

step-by-step explanation:

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