Question

Find the distance between the set of points. (-4, 5) and (4, 0)

A. 3.32
B. 9.4
C. 4.58
D. 89

Answer 1

The distance between the points (-4, 5) and (4, 0) is found using the distance formula, resulting in a distance of approximately 9.4, which is option B.

Step-by-step explanation:

To find the distance between two points on a coordinate plane, we use the distance formula, which is derived from the Pythagorean theorem: �(x_2 - x_1)² + (y_2 - y_1)².

For the points (-4, 5) and (4, 0), the distance calculation is as follows:

√((4 - (-4))² + (0 - 5)²) = √((8)² + (-5)²) = √(64 + 25) = √89.

Since the square root of 89 is approximately 9.4, the correct distance is option B. 9.4.