Question

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

Answer 1

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:

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

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

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