Question

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

A) 9.22 units
B) 8.60 units
C) 11.18 units
D) 10.00 units

Answer 1

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

Step-by-step explanation:

The distance between two points can be found using the formula:

distance = √[(x2 - x1)2 + (y2 - y1)2]

Let's calculate the distance between the points L(-4, 5) and M(5, -3):

distance = √[(-4 - 5)2 + (5 - (-3))2]
= √[(-9)2 + 82]
= √(81 + 64)
= √145

Therefore, the distance between the points L(-4, 5) and M(5, -3) is approximately 12.04 units. Hence, the correct answer is C) 11.18 units.