[PLATO] A circle is centered at the point (5, -4) and passes through the point (-3, 2). The equation of this circle is (x + (1.)

Question

[PLATO] A circle is centered at the point (5, -4) and passes through the point (-3, 2).

The equation of this circle is (x + (1.) _______)² + (y+ (2.)_______ )² = (3.)_______

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Khánh Gia 4 years 2021-08-17T03:20:14+00:00 1 Answers 161 views 0

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  1. haidang
    0
    2021-08-17T03:21:42+00:00
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    Answer:

    1. -5

    2. 4

    3. 10

    Step-by-step explanation:

    this equation is in vertex form. Points 1 and 2 are the coordinates of the center of the circle (5 is the x coordinate, -4 is the y coordinate). To find the center of the circle, take the values of the given (5, -4) coordinate, and switch their sign (5 becomes -5, -4 becomes 4).

    to find part 3, you will need to plug in the values of the second coordinate (-3, 2).

    If you need to find the radius of (3), find the square root of whatever answer you got.

    1. (x-5)^2 + (y+4)^2 = ___

    2. (-3-5)^2 + (2+4)^2 = ____

    3. (-8)^2 + (6)^2 =___

    4. 64+36 = 100

    —

    (to find radius)

    5. \sqrt{100} = 10\\

    the answer to 3 is 10

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