The perimeter of a rectangular garden is 44 yards. It’s length is 5 yards less than double the width. Find the length and the width of the garden. Show all work.

Length = 13 yards, width = 9 yards.

Step-by-step explanation: Because length is 5 yards less than double the width L = 2W - 5. The perimeter is P = 2L + 2W. We substitute our L value for the equation

2(2W-5) + 2W = 44 then we simplify

4W - 10 + 2w = 44 Add 10 to both sides

4W + 2W = 54 Add the W's

6W = 54 Then divide by 6 on both sides

W = 9

We can plug this into our original equation

L = 2(9) - 5

L = 18 - 5

L = 13

Then we can test this

2(13) + 2(9) = 44. Looks correct

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.