Two points are plotted in the coordinate plane at (3,7) and (-3,-8). What is the distance between them.
To find the distance between two points in the coordinate plane, we can use the distance formula:
Distance = sqrt((x2-x1)^2 + (y2-y1)^2)
Plugging in the coordinates (3,7) and (-3,-8) into the formula:
Distance = sqrt((-3-3)^2 + (-8-7)^2)
Distance = sqrt((-6)^2 + (-15)^2)
Distance = sqrt(36 + 225)
Distance = sqrt(261)
Therefore, the distance between the points (3,7) and (-3,-8) is sqrt(261), which is approximately 16.12 units.
Answer options:
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1
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15