Find the distance between (2, 3) and (−4, −9) . Round your answer to the nearest hundredth, if necessary.(1 point

1 answer

Using the distance formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the given values:
d = sqrt((-4 - 2)^2 + (-9 - 3)^2)
d = sqrt((-6)^2 + (-12)^2)
d = sqrt(36 + 144)
d = sqrt(180)

The distance between (2, 3) and (-4, -9) is approximately 13.42.