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Math Help - Distance on a Graph

  1. #1
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    Distance on a Graph

    Ok, so in my class we are doing about distances on a graph. I have a question asking which point is closer to (0,0):
    (3,2)
    (4,8)
    or
    (10,7)

    So I did this. I first went to work out (0,0) and (3,2).

    I know you have to subtract the X co ordinates to find the distance from them and then the same for Y co ordinates.

    0-3=-3 (then square) -3^2=9
    0-2=-2 (then square) -2^2=4 (plus answers together) = 13 = (sqrt)13


    Now my homework paper says not to use a calculator so I assume im suppose to leave it here or just say its roughly 4?

    Did I calculate this right?
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  2. #2
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    Quote Originally Posted by Yppolitia View Post
    Ok, so in my class we are doing about distances on a graph. I have a question asking which point is closer to (0,0):
    (3,2)
    (4,8)
    or
    (10,7)

    So I did this. I first went to work out (0,0) and (3,2).

    I know you have to subtract the X co ordinates to find the distance from them and then the same for Y co ordinates.

    0-3=-3 (then square) -3^2=9
    0-2=-2 (then square) -2^2=4 (plus answers together) = 13 = (sqrt)13


    Now my homework paper says not to use a calculator so I assume im suppose to leave it here or just say its roughly 4?

    Did I calculate this right?
    When you have a square root. Square both of them and which is bigger was the number bigger initially.

    For example,
    What is larger sqrt(5) or 3sqrt(2)
    Square each one,
    5 and 9*2=18
    Since 18>5
    We conclude that,
    sqrt(5)<3sqrt(2)
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