find the distance between (-8, -3) and (-2, -5). Round your answer to the nearest hundredth, if necessary
To find the distance between two points, we can use the distance formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
For the given points (-8, -3) and (-2, -5), we can plug in the values:
d = sqrt((-2 - (-8))^2 + (-5 - (-3))^2)
Simplifying inside the square root gives:
d = sqrt((6)^2 + (-2)^2)
d = sqrt(36 + 4)
d = sqrt(40)
Now, let's round the answer to the nearest hundredth:
d ≈ 6.32
Therefore, the distance between (-8, -3) and (-2, -5) is approximately 6.32 units.