A rectangular sandbox is in the center of a larger rectangular back yard. The sand box measures (x+6) feet long and 5x feet wide. The yard measures (6x+7) feet long and 8x
feet wide.
What is the area of the yard that is NOT apart of the sandbox?

(43 - 26x)

Step-by-step explanation:

Area of the yard that is not pat of the sandbox = Area of the yard - Area of the sandbox

Since both the yard and the sandbox has a rectangular shape, then;

Area of a rectangle = length x width

So that,

Area of the yard = length x width

                            = (6x+7) x 8x

                            = (48 + 56x)

Area of the sandbox = length x width

                                  = (x+6) x 5x

                                  = (5 + 30x)

Thus,

Area of the yard that is not pat of the sandbox = (48 + 56x) - (5 + 30x)

                                = 48 + 56x - 5 - 30x

                                = (43 - 26x)

Area of the yard that is not pat of the sandbox is (43 - 26x) .

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17