Find the distance between (−8, −3) and (−2, −5) . Round your answer to the nearest hundredth, if necessary.(1 point)
To find the distance between two points, A and B, you can use the distance formula: d = √((x2 - x1)² + (y2 - y1)²)
In this case, point A has coordinates (-8, -3) and point B has coordinates (-2, -5).
Plugging these values into the distance formula, we get:
d = √((-2 - (-8))² + (-5 - (-3))²)
Simplifying inside the square root:
d = √((6)² + (-2)²)
Evaluating the squares:
d = √(36 + 4)
d = √40
Finally, simplify the square root to find the distance:
d ≈ 6.32
Therefore, the distance between (-8, -3) and (-2, -5) is approximately 6.32 (rounded to the nearest hundredth).