Pete cut a square window in the wall of his workshop. the window side length measures 18 inches. what is the area of the wall, excluding the window?

Area of the wall excluding window  = Area of the complete wall  - (324 sq inches)

Step-by-step explanation:

The each side length of window  =  18 inches.

Also, given that the window is in the shape of a square,

so all sides of the windows  = 18 inches.

AREA OF A SQUARE =   SIDE X SIDE

⇒ Here,the area of the window  = 18 inches x 18 inches

                                                     =  324 sq. inches

Hence, the area of the cut out window = 324 sq. inches.

So, the area of the wall excluding window  = Area of the wall - Area of the cutout window

or, Area of the wall excluding window  = Area of the complete wall  - (324 sq inches)

infinitely many solutions

step-by-step explanation:

we have been given the equation;

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

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

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

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

the image of (6, 9) under a dilation is (4, 6). the scale factor is