Question

-/1 points

Answer 1

If the width w is 55 feet and the perimeter P is 290 feet.

Use the formula P = 21 + 2w to find the length

Solution:

The perimeter of rectangle is given as:

P = 2(length + width)

From given,

length = ?

width = 55 feet

perimeter = 290 feet

Therefore,

290 = 2(length + 55)

$length + 55 = \frac{290}{2}\\\\length + 55 = 145\\\\length = 145 - 55\\\\length = 90$

Thus length of rectangular lot is 90 feet

Use the equation y = (x + 1)2 - 10 to find the value of y when x is -2

Solution:

Given equation is:

$y = (x + 1)^2 - 10$

To find: y when x = -2

Substitute x = -2

$y = (-2 + 1)^2 -10\\\\y = -1^2 -10\\\\y = 1 - 10\\\\y = -9$

Thus y is -9 when x is -2