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Math Help - Closest point problems

  1. #1
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    Closest point problems

    Where is the line y = 5-2x closest to (0,0)?

    This may be easy question, but i m beginner and i m kind of confuse so please help!
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  2. #2
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    Quote Originally Posted by ilovemymath View Post
    Where is the line y = 5-2x closest to (0,0)?

    This may be easy question, but i m beginner and i m kind of confuse so please help!
    how are you supposed to do this ... using calculus or not? (there is more than one way to do it)
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  3. #3
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    using calculus.
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  4. #4
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    Quote Originally Posted by ilovemymath View Post
    using calculus.
    you should be familiar w/ the distance formula ...

    D = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}

    points are (x,5-2x) and (0,0)

    D = \sqrt{(x-0)^2 + [(5-2x)-0]^2}

    simplify, find D' and minimize like you were taught in class ...
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