Use the Distance Formula to find the distance between D(2, 0) and E(8, 6).

Question

Use the Distance Formula to find the distance between D(2, 0) and E(8, 6).

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Nho 3 months 2021-08-01T13:47:24+00:00 1 Answers 4 views 0

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    2021-08-01T13:48:29+00:00

    Answer:

    The answer is

    6 \sqrt{2}  \:  \:  \: or \:  \:  \: 8.50 \:  \:  \:  \: units

    Step-by-step explanation:

    The distance between two points can be found by using the formula

    d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  }  \\

    where

    (x1 , y1) and (x2 , y2) are the points

    From the question

    The points are D(2, 0) and E(8, 6

    The distance between them is

     |DE|  =  \sqrt{ ({2 - 8})^{2}  +  ({0 - 6})^{2} }  \\  =  \sqrt{( { -  6})^{2}  + ( { - 6})^{2} }  \\  =  \sqrt{36 + 36}  \\  =  \sqrt{72}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  = 6 \sqrt{2}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \\  = 8.4852813

    We have the final answer as

    6 \sqrt{2}  \:  \:  \: or \:  \:  \: 8.50 \:  \:  \:  \: units

    Hope this helps you

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