The coordinates of the point TT are (5,-6)(5,−6) and the coordinates of point UU are (-7,-6).(−7,−6). What is the distance, in units, betwee

Question

The coordinates of the point TT are (5,-6)(5,−6) and the coordinates of point UU are (-7,-6).(−7,−6). What is the distance, in units, between the point TT and point U?U?

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RI SƠ 5 years 2021-08-13T12:33:29+00:00 1 Answers 18 views 0

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  1. phucdien
    0
    2021-08-13T12:34:32+00:00
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    Answer:

    The distance between points T and U is 12 units.

    Step-by-step explanation:

    Let T(x,y) = (5,-6) and U = (-7,-6). The distance between points T and U represents a straight line, whose is length (TU) can be determined by Pythagorean Theorem. That is:

    TU = \sqrt{(x_{U}-x_{T})^{2}+(y_{U}-y_{T})^{2}} (1)

    If we know that x_{T} = 5, x_{U} = -7, y_{T} = -6 and y_{U} = -6, then the length between those coordinates is:

    TU = \sqrt{(-7-5)^{2}+[-6-(-6)]^{2}}

    TU = 12

    The distance between points T and U is 12 units.

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