algebra

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The circular path of cars on a ferris wheel can be modeled with the equation x^2-14x+y^2-150y=-49, measured in feet. What is the maximum height above ground of the riders.

  • algebra -

    write the circle equation in standard form by completing the square

    x^2 - 14x + 48 + y^2 - 150y + 5625 = -49 + 49 + 5625
    (x-7)^2 + (y - 75)^2 = 75^2

    so the centre is at (7, 75) and the radius is 75

    after making a sketch you should be able to answer the question

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