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Using the following equation, find the center and radius:
x*2 - 4x + y*2 + 8y = -4


A) The center is located at (-2, -4), and the radius is 4.

B) The center is located at (2, -4), and the radius is 4.

C) The center is located at (=2, -4), and the radius is 16.

D) The centel is located at (2, -4), and the radius is 16.

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Answer:

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Step-by-step explanation:

The center is located at (2, -4), and the radius is 4. Option b is correct.

Using the following equation x² - 4x + y² + 8y = -4 the center and radius to be determine.


What is a circle?

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by [tex]x^2 + y^2 + 2gx + 2fy + c = 0[/tex]


Here,
x² + y²  - 4x + 8y + 4 = 0
compared with the standard equation of the circle
g = -2,  f = 4 and c = 4
Center = (-g, -f)
center = (2, -4)

Radius of the circle = √g²+f²-c
                                 = √2²+(-4)²-4
                                 = √4+16-4
                                 = 4

Thus, the center is located at (2, -4), and the radius is 4. Option b is correct.


Learn more about circle here:

brainly.com/question/11833983

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