Question

Calculate the distance between the points H=(−1,−1) and L=(−9,2) in the coordinate plane. Round your answer to the nearest hundredth.

A) 8.06 units
B) 10.63 units
C) 11.18 units
D) 7.81 units

Answer 1

The distance between the points H=(-1,-1) and L=(-9,2) is approximately 8.54 units, which is not listed among the provided options.

Step-by-step explanation:

To calculate the distance between the points H=(-1,-1) and L=(-9,2) in the coordinate plane, we use the distance formula, which is derived from the Pythagorean theorem:

Distance = √((x2 - x1)² + (y2 - y1)²)

Substitute the coordinates of the points H and L into the formula:

Distance = √((-9 - (-1))² + (2 - (-1))²) = √((-8)² + (3)²) = √(64 + 9) = √73

Now, take the square root of 73 to get the distance:

Distance ≈ 8.54 units

Therefore, the correct answer is not listed among the provided options, as the distance between the points rounds to 8.54 units.