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18 January, 16:17

The question of a circle is given below. Identify the radius and center then graph the circle (x+5) 2 + (y-2) 2=4

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  1. 18 January, 18:29
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    (-5, 2) is the center; the radius is 2.

    Step-by-step explanation:

    Compare the given (x+5) 2 + (y-2) 2=4 to:

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

    (I have used the symbol " ^ " to denote exponentiation.

    Now compare this result to:

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

    From this comparison we see that h = - 5, k = + 2 and r^2 = 4.

    Thus, we conclude that the center of this circle is at (h, k) : (-5, 2), and that the radius is 2.
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