Find the distance between (2, 3) and (-4, -9). Round your answer to the nearest hundredth, if necessary.

__ units

1 answer

To find the distance between two points (x1, y1) and (x2, y2), you can use the distance formula:

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

So, the distance between (2, 3) and (-4, -9) is:

distance = sqrt((-4 - 2)^2 + (-9 - 3)^2)
distance = sqrt((-6)^2 + (-12)^2)
distance = sqrt(36 + 144)
distance = sqrt(180)
distance ≈ 13.42 units

Therefore, the distance between (2, 3) and (-4, -9) is approximately 13.42 units.
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