C(-3,-1), Q(-2,3) Find the distance between each pair of points

Question

C(-3,-1), Q(-2,3)
Find the distance between each pair of points

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Mộc Miên 3 years 2021-07-23T00:52:00+00:00 2 Answers 15 views 0

Answers ( )

  1. minhkhang
    0
    2021-07-23T00:53:49+00:00
    Reply

    4.2 units ! Is your answer

  2. Verity
    0
    2021-07-23T00:53:49+00:00
    Reply

    Answer:

    The answer is

    \sqrt{17} \: \: \: or \: \: \: 4.12 \: \: \: \: 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

    C(-3,-1), Q(-2,3)

    The distance between them is

    |CQ| = \sqrt{ ({ - 3 + 2})^{2} + ( { - 1 - 3})^{2} } \\ = \sqrt{ ({ - 1})^{2} + ( { - 4})^{2} } \\ = \sqrt{1 + 16} \\ = \sqrt{17} \: \: \: \: \: \: \: \\ = 4.1231...

    We have the final answer as

    \sqrt{17} \: \: \: or \: \: \: 4.12 \: \: \: \: units

    Hope this helps you

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