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

Answer 1

Using the distance formula, the distance between (-8, -3) and (-2, -5) is:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
= sqrt((-2 - (-8))^2 + (-5 - (-3))^2)
= sqrt((-2 + 8)^2 + (-5 + 3)^2)
= sqrt(6^2 + (-2)^2)
= sqrt(36 + 4)
= sqrt(40)
≈ 6.32

Rounded to the nearest hundredth, the distance is approximately 6.32.