1) Sarah’s house is at point (10, 14) and Melissa’s house is at point (-8, 14). The two friends want to meet at the park for a picnic,

Question

1) Sarah’s house is at point (10, 14) and Melissa’s house is at point (-8, 14). The two
friends want to meet at the park for a picnic, which is halfway between both houses.
How far will Sarah need to bike to reach the park? Round to the nearest tenth.

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Peyton 4 weeks 2021-11-07T09:40:09+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-11-07T09:41:22+00:00

    Answer:

    9.0

    Step-by-step explanation:

    Use the midpoint formula:

    midpoint=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})

    Insert the values of the points:

    (10,14)(-8,14)\\\\m=(\frac{10-8}{2},\frac{14+14}{2})

    Simplify:

    m=(\frac{2}{2},\frac{28}{2})\\\\m=(1,14)

    Now use the distance formula:

    d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}

    Plug in Sarah’s home coordinates and the point of the park and solve:

    (10,14)(1,14)\\\\\sqrt{(1-10)^2+(14-14)^2}

    Simplify parentheses:

    \sqrt{(-9)^2+(0)^2}

    Simplify exponents:

    \sqrt{81} =9

    Round to the nearest tenth:

    9.0

    Finito.

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