In the standard (x, y) coordinate plane, a circle with its center at (8,5) and a radius of 9 coordinate units has which of the following equations?

(x−8)2+(y−5)2=81

(x−8)2+(y−5)2=9

(x+8)2+(y+5)2=81

(x+8)2+(y+5)2=9

(x+5)2+(y+8)2=81

Step-by-step explanation:

equation of a circle:

where is the center and is the radius

Given:

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.