Consider a circle whose equation is

Which statements are true? Select three options.

(A) The radius of this circle is the same as the radius of the circle whose equation is

(B) The standard form of the equation is

(C) The center of the circle lies on the y-axis.

(D) The radius of the circle is 3 units.

(E) The center of the circle lies on the x-axis.

A, D, E

Step-by-step explanation:

x² + y² - 2x - 8 = 0

Centre is (0,1)

0² + 1² - r² = -8

r² = 9

r = 3

Completed square form:

(x-1)² + y² = 3²

(x-1)² + y² = 9

The answer to your question is below

Step-by-step explanation:

Data

                  x² + y² - 2x - 8 = 0

- Find the radius and the center

                  x² - 2x      + y²         = 8

                  x² - 2x + 1 + y²         = 8 + 1

                  (x - 1)² + y²               = 9

- Center = (1, 0)   Radius = 3

a) True, both circles have the same radius (3)

b) False, the standard equation is   (x - 1)² + y² = 9

c) False, the center of the circle lies on the x-axis

d) True, the radius of the circle is 3 units

e) True, the center of the circle lies on the x-axis.

sine

step-by-step explanation: