Question

Find the distance between the points L(-4, 5) and M(5, -3). Round your answer to the hundredth place.

A) The distance between L and M is 11.18 units.
B) The distance between L and M is 8.6 units.
C) The distance between L and M is 10.39 units.
D) The distance between L and M is 9.22 units.

Answer 1

The distance between the points L(-4, 5) and M(5, -3) is approximately 12.04 units.

Step-by-step explanation:

To find the distance between the points L(-4, 5) and M(5, -3), we can use the distance formula. The formula is:

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

Plugging in the values from the given points:

distance = sqrt((5 - (-4))^2 + (-3 - 5)^2)

distance = sqrt(9^2 + (-8)^2)

distance = sqrt(81 + 64)

distance = sqrt(145)

Rounding to the hundredth place, the distance is approximately 12.04 units