Find the distance between (-8, -3) and (-2, -5). Round your answer to the nearest hundredth, If necessary.

__units

1 answer

Using the distance formula, we have:

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

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