Find the distance between (-8, -3) and (-2, -5). Round your answer to the nearest hundredth, If necessary.
__units
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.
To find the distance between two points in a coordinate plane, you can use the distance formula. The distance formula is derived from the Pythagorean theorem.
The two points given are (-8, -3) and (-2, -5). Let's label these points as (x1, y1) = (-8, -3) and (x2, y2) = (-2, -5).
The distance formula is:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Substituting the given values into the formula:
d = √((-2 - (-8))^2 + (-5 - (-3))^2)
= √((-2 + 8)^2 + (-5 + 3)^2)
= √(6^2 + (-2)^2)
= √(36 + 4)
= √40
≈ 6.32 (rounded to the nearest hundredth)
Therefore, the distance between (-8, -3) and (-2, -5) is approximately 6.32 units.