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What is the radius for this given equation? (x^2+10x) + (y^2-8y) = 59

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  1. 2 May, 19:37
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    The answer to your question is r = 10

    Step-by-step explanation:

    Data

    (x² + 10x) + (y² - 8y) = 59

    Process

    1. - Complete the perfect square trinomials

    (x² + 10x + (5) ²) + (y² - 8y + (4) ²) = 59 + (5) ² + (4) ²

    2. - Simplify

    (x² + 10x + 25) + (y² - 8y + 16) = 59 + 25 + 16

    3. - Factor

    (x + 5) ² + (y - 4) ² = 100

    or (x + 5) ² + (y - 4) ² = 10²

    4. - Compare the result with the standard form

    (x - h) ² + (y - k) ² = r²

    then r² = 10²

    and r = 10
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