Find the distance between (2, 3) and (−4, −9) . Round your answer to the nearest hundredth, if necessary.(1 point) units

Answer 1

Using the distance formula:

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

Plugging in the values:

distance = √((-4 - 2)^2 + (-9 - 3)^2)
distance = √((-6)^2 + (-12)^2)
distance = √(36 + 144)
distance = √180
distance ≈ 13.42 (rounded to the nearest hundredth)

Therefore, the distance between (2, 3) and (-4, -9) is approximately 13.42 units.

Answer 2

Find the distance between (−8, −3) and (−2, −5) . Round your answer to the nearest hundredth, if necessary.(1 point) units

Answer 3

Using the distance formula:

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

Plugging in the values:

distance = √((-2 - (-8))^2 + (-5 - (-3))^2)
distance = √((6)^2 + (-2)^2)
distance = √(36 + 4)
distance = √40
distance ≈ 6.32 (rounded to the nearest hundredth)

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