This rectangle has an area of 20 and a perimeter of 18 If Jessica adds a row of 5 tiles at the top of this rectangle what will the new perimeter be?

Answer

28

Step-by-step explanation:

you have an area of 20, which is a clue to find two numbers that could multiply to get 20. Then, to be sure it is the right pair of numbers, you will add them twice to see if you get 18 as the perimeter. I found the two numbers 5, and 4. I added 5 to 4, and added 9+9+5+5, and got 28.

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5

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.