The length of a rectangle frame is represented by the expression 2x +8, and the width of the rectangle frame is represented by the expression 2x +6 what is the width of the rectangle frame that has a total area of 160 square inches

4x2 + 32x − 80 = 0

Step-by-step explanation:

Area of a rectangle is given by

A = l*w

The length is (2x+10) and the width is (2x+6)

A = (2x+10)(2x+6)

FOIL

first 2x*2x = 4x^2

outer 2x*6 =12x

inner 2x*10 =20x

last 10*6=60

Add this together

4x^2 +12x+20x +60 = 4x^2 +32x+60

This must equal 140 inches

4x^2 +32x+60 = 140

Subtract 140 from each side

4x^2 +32x+60-140 = 140-140

4x^2 +32x -80=0

2/3

step-by-step explanation:

the slope of a line is equal to the rise/run. in this case the line rises 2 units for every +3 units it moves