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Math Help - Points on a line

  1. #1
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    Points on a line

    A, B and C are 3 points on a line with AC=BC=12. The coordinate of C is 5. Whare the coordinates of A and B?


    I am having trouble remembering how to solve this...
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  2. #2
    MHF Contributor
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    Here is one way.

    If AC = BC, then the C must be in the middle.

    Let us say A is to the left of C, so B is to the right of C.

    If C is at 5, then the origin 0 is 5 units to the left of C.

    A is 12 units to the left of C, so A is (12 -5) = 7 units to the left of 0.
    Therefore, the coordinate of A is negative 7, or -7.

    B is 12 units to the right of C, so B is (5 +12) = 17 units to the right of 0.
    Therefore, the coordinate of B is positive 17, or 17 only.

    ------------
    Reminder, all numbers to the left of the origin 0 are negative, all to the right of the origin are positive.
    Last edited by ticbol; August 29th 2005 at 12:34 AM.
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  3. #3
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    Smile Thank You

    Appreciate that very much...I would rather understand it than ask for just an answer!
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