Exam: final
7. the length of a rectangle is 2x - 3 and the width
is x + 1. which of the following represents the
perimeter of the rectangle?
a. 2x²+x-3
b. 2x2 - x-3
c. 6x+4
d. 6x-4

D)

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

where,

Length = 2x - 3; width = x + 1

Thus,

Collect like terms in the bracket

Expand the bracket

D. 6x-4

Step-by-step explanation:

Since the perimeter of rectangle is;

2 [length + width]

length = (2x - 3)

width = (x + 1)

2 [(2x - 3) + (x + 1)]

4x - 6 + 2x + 2

6x - 4

step-by-step explanation:

x^2 -12x + 36 + y^2 = 36

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)