in a standard xy plane, a line passes through the points (n,8)(32,n) and the origin. if n is a positive real number, what is the value of n

Question

in a standard xy plane, a line passes through the points (n,8)(32,n) and the origin. if n is a positive real number, what is the value of n

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Edana Edana 5 years 2021-08-31T09:14:46+00:00 1 Answers 16 views 0

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  1. Maris
    0
    2021-08-31T09:16:07+00:00
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    Answer:

    n = 16

    Step-by-step explanation:

    The slope from the origin to each point must be equal

    (0,0) and (n, 8)

    m = 8/n

    (0, 0) and (32, n)

    m = n/32

    Set the slopes equal

    8/n = n/32

    cross multiply

    256 = n²

    Take the square root of both sides

    n = 16

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