Around which line would the following cross-section need to be revolved to create a sphere? A. y-axis B. y = 1 C. x = 2 D. x = 1

y-axis

Step-by-step explanation:

The line of rotation should be through the centre

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.