A circle has center (5. –4) and radius 8. Which gives the equation for the circle? A. (x + 5)2 + (y + 4)2 = 8 B. (X – 5)2 + y +

Question

A circle has center (5. –4) and radius 8. Which gives the equation for the circle?
A. (x + 5)2 + (y + 4)2 = 8
B. (X – 5)2 + y + 4)2 = 8
C. (x + 5)2 + (y – 412
D. (x – 5)2 + (y + 4)2

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Alaia 1 week 2021-09-15T04:57:09+00:00 2 Answers 0

Answers ( )

    0
    2021-09-15T04:58:27+00:00

    Answer:

    (x-5)^2 + (y+4)^2 =64

    Step-by-step explanation:

    We can write the equation of a circle as

    (x-h)^2 + (y-k)^2 = r^2

    where (h,k) is the center and r is the radius

    (x-5)^2 + (y- -4)^2 = 8^2

    (x-5)^2 + (y+4)^2 =64

    0
    2021-09-15T04:58:47+00:00

    the equation for the circle is given by the mathematical expression: (x - 5)^2 + (y + 4)^2 = 8^2

    Given the following data;

    • h = 5
    • k = -4
    • Radius, r = 8

    In Mathematics, the general equation for a circle is given by the formula;

    x^2 + y^2 + 2hx + 2ky + c = 0  ……equation 1.

    Where the center is C(-h, -k)

    Also, the standard form of the equation of a circle is;

    (x - h)^2 + (y - k)^2 = r^2 ……equation 2.

    Where;

    • h and k represents the coordinates of the center.
    • r represents the radius of the circle.

    Substituting the values into equation 2, we have;

    (x - 5)^2 + (y - [-4])^2 = 8^2\\\\(x - 5)^2 + (y + 4)^2 = 8^2

    Simplifying further, we have;

    (x - 5)^2 + (y + 4)^2 = 64

    Therefore, the equation for the circle is given by the mathematical expression: (x - 5)^2 + (y + 4)^2 = 8^2

    Find more information: https://brainly.com/question/24342323

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