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The line joining (-3,10) and (4,3) is divided in what ratio by the point (-1,8)?

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2 answers

  1. Ratio of x is (-3 - -1) : (-1 - 4)

    = -2 : -5 or 2:5

    Ratio of y is (10 - 8) : (8 - 3)

    = 2:5

    The ratio is 2 : 5

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  2. from (-3,10 to (-1,8)
    length is sqrt(2^2 +2^2=sqrt8
    from (-1,8) to (4,3)
    length is sqrt (5^2 + 5^2)=sqrt50

    ratio: sqrt (8/50)=2/5 sqrt(2/2)=2/5

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