Determine the length of , given by x in the figure. Give your answer to two decimal places. SHOW YOUR WORK so I can see if it makes sense. ( no links as answers)

Step-by-step explanation:

Use Pythagorean theorem,

Hypotenuse² = base² + altitude²

                      = 3²+ 6²

                      = 9 + 36

                x² = 45

x = √45

x = 6.71

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.