Question

Find the distance between the pair of points. Round to the nearest hundredth. (0, -8) and (3, -2)

A) 6.32 units
B) 6.08 units
C) 6.71 units
D) 4.47 units

Answer 1

The distance between points (0, -8) and (3, -2) is calculated using the distance formula, which results in approximately 6.71 units. This answer corresponds to option C.

Step-by-step explanation:

To find the distance between the pair of points (0, -8) and (3, -2), we use the distance formula, which is derived from the Pythagorean Theorem: d = √((x2 - x1)² + (y2 - y1)²). Plugging in the coordinates of the points: d = √((3 - 0)² + (-2 - (-8))²), d = √(3² + 6²), d = √(9 + 36), d = √45, d ≈ 6.71 (rounded to the nearest hundredth). Therefore, the distance between the points (0, -8) and (3, -2) is approximately 6.71 units, which corresponds to option C.