Question

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

Answer 1

To find the distance between two points, we can use the distance formula:

distance = √((x2 - x1)^2 + (y2 - y1)^2)

Using the given points (-8, -3) and (-2, -5), we can substitute the values into the distance formula:

distance = √((-2 - (-8))^2 + (-5 - (-3))^2)
distance = √((6)^2 + (-2)^2)
distance = √(36 + 4)
distance = √40

To round the answer to the nearest hundredth, we can use a calculator or approximate the square root of 40:

√40 ≈ 6.32

Therefore, the distance between (-8, -3) and (-2, -5) is approximately 6.32.