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Math (grade 10)

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On the design plan for a garden, a straight path suns from (-25,20) to (40,36). A lamp is going to be placed at the midpoint of the path. Determine the coordinates for the lamp.

  • Math (grade 10) - ,

    midpoint: (-25+20)/2, (20+36)/2

  • Math (grade 10) - ,

    To find the coordinates of the lamp, you have the find the midpoint of the path.

    The path has two endings:
    one at (-25, 20)
    one at (40, 36)

    For the x-coordinate, add up all x-coordinates and divide them by 2
    -- [(-25 + 40) / 2] = (15 / 2) = 7.5

    For the y-coordinate, add up all y-coordinates and divide them b y 2
    -- [(20 + 36) / 2] = (56 / 2) = 28

    So the coordinates of the lamp will be

    (7.5, 28)

    Because it is in the midpoint of the path (midpoint of both ends)

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