What is the length of the hypotenuse in the right triangle shown below?

A. 6 √2

Step-by-step explanation:

If a triangle is a 45-45-90 triangle then,

Theorem 5-13: If each acute angle of a right triangle has a measure of

45 degrees, then the measure of the hypotenuse is the square root of two times as long as a  leg (45, 45, 90 Theorem).

so the hypotenuse is x√2, and x = 6 (side length)

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.

5 pm

step-by-step explanation: