The points M(-10, 3) and P(-4,-8) are graphed on the coordinate plane. To the nearest tenth of a unit, what is the distance between po

Question

The points M(-10, 3) and P(-4,-8) are graphed on the coordinate plane. To the nearest
tenth of a unit, what is the distance between points Mand P? Round to the nearest
tenth.

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Đan Thu 4 years 2021-08-28T01:08:21+00:00 1 Answers 3 views 0

Answers ( )

  1. diemthu
    0
    2021-08-28T01:09:38+00:00
    Reply

    Given:

    The two points are M(-10, 3) and P(-4,-8).

    To find:

    The distance between the points M and P.

    Solution:

    Distance formula:

    d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

    Using the distance formula, the distance between the given points is

    MP=\sqrt{(-4-(-10))^2+(-8-3)^2}

    MP=\sqrt{(-4+10)^2+(-11)^2}

    MP=\sqrt{(6)^2+(-11)^2}

    MP=\sqrt{36+121}

    On further simplification, we get

    MP=\sqrt{157}

    MP=12.529964

    MP\approx 12.5

    Therefore, the distance between the given points M and P is 12.5 units.

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