A rectangle has side lengths x + 2 and x - 1. What is the perimeter of the rectangle
when x = 5?

22 units

Step-by-step explanation:

The perimeter is all the sides of any polygon added up.

A rectangle has 4 sides, but we only need two sides to solve this because a rectangle has symmetry

There are two ways

Method 1:

x+2 + x-1 + x+2 + x-1   OR   2(x+2) + 2(x-1)

simplify: 2x + 4 + 2x - 2

              4x +2

Plug 5 into x: 4(5) + 2

22

Method 2:

plug in x to get the sides: 7 and 4

now add: 7 + 7 + 4 + 4   OR   2(7) + 2(4)

simplify: 14 + 8

22

-10i^2-4i

step-by-step explanation:

evaluate for p=2,q=5i

(2−4)(2+5i)i

(2−4)(2+5i)i

=−10i2−4i

(- 1, 0 )

step-by-step explanation:

an x- intercept is where the function crosses the x- axis.

to find the x- intercept/s look for the value of x when f(x) = 0

from the given table there are 3 values of x where f(x) = 0

when x = - 1, x = 2, x = 3

the one that is listed is (- 1, 0 )