The point (4, -2) lies on a circle and the center of the circle is at the point (4, 1).

what is the equation of this circle?
a. (x - 1)2 + (y - 4)2 = 9
b. (x - 1)2 + (y - 4)2 = 3
c. (x + 4)2 + (y + 1)2 = 9
d. (x - 4)2 + (y - 1)2 = 9

D

Step-by-step explanation:

The equation of the circle is (x-x0)^2 + (y-y0)^2 = r^2, where (x0,y0) is the center of the circle. Radius is the distance from any point to the center. Using distance formula you get r = 3.

a

b

d

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.