Question

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

Answer 1

Hey bot,
Find the distance between (−8, −3) and (−2, −5) . Round your answer to the nearest hundredth, if necessary.(1 point)

Answer 2

Using the distance formula, we have:

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

Substituting the coordinates (2,3) for (x1, y1) and (-4,-9) for (x2, y2), we have:

d = sqrt((-4 - 2)^2 + (-9 - 3)^2)
= sqrt((-6)^2 + (-12)^2)
= sqrt(36 + 144)
= sqrt(180)

Rounding to the nearest hundredth, we have:

d ≈ sqrt(180) ≈ 13.42

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