1. The length of a rectangle is 3 centimeters is 3 times its width. What is its width if its perimeter is 120 centimeters?

2. The measures of the angles of a triangle are represented by nº, nº, and 4nº. Find the measure n:

3. In a right triangle, the measure of an acute angle is 4 times the
measure of the other angle which is nº. Find the measure n:
4. The length of a rectangle is 3 times its width. What is its width if its perimeter is 120 centimeters?

area = length x width

length = 2 x width

32 = 2 x width x width

32 = 2 x width^2

36 = width ^2  

width = 6

length = 12

area is 32

perimeter = 2 x 12 + 2 x 6 = 24 + 12 = 36

step-by-step explanation:

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.

any options?

step-by-step explanation: