The diameter of Circle Q terminates on the circumference of the circle at (3,0) and (3,-7) . Write the equation of the circle in standard fo

Question

The diameter of Circle Q terminates on the circumference of the circle at (3,0) and (3,-7) . Write the equation of the circle in standard form. Show all of your work for full credit.

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Nem 5 months 2021-08-25T11:31:01+00:00 1 Answers 43 views 0

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  1. Cherry
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    2021-08-25T11:32:52+00:00
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    Step-by-step explanation:

    The center of a circle with 2 end points of a di diameter is the midpoint of the two endpoints.

    The formula needed to find the minpoints is

    (x,y) = (x2 + x1)/2, (y2 + y1)/2

    x2 = 3

    x1 = 3

    y2 = 0

    y1 = -7

    midpoint = (3 + 3)/2, (0 – 7)/2

    midp[oint = 3,-3.5

    The midpoint is the center of the circle. Observe that the signs get changed when entering the values for (x,y)

    So far what you have is (x – 3)^2 + (y + 3.5)^2 = r^2

    To determine r^2 you need only take the distance from the center to oneof the endpoints.

    r^2 = (3 – 3)^2 + (3.5 – 0)^2

    r^2 = 3.5^2

    r^2 = 12.25

    Answer: (x – 3)^2 + (y + 3.5)^2 = 12.25

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )