Question

What is the distance between A and B? Round your answer to the nearest hundredth. A coordinate plane is shown. Point A is located at 0, 6, and point B is located at 7, negative 2. A line segment connects the two points.

A. 9.58
B. 10.63
C. 11.56
D.12.29

Answer 1

Using the distance formula, the distance between point A (0, 6) and point B (7, -2) is calculated to be approximately 10.63 units after rounding to the nearest hundredth.

Step-by-step explanation:

The distance between point A, with coordinates (0, 6), and point B, with coordinates (7, -2), can be calculated using the distance formula which is derived from the Pythagorean theorem. The formula is as follows:

Distance = √((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the values we get:

Distance = √((7 - 0)^2 + (-2 - 6)^2)

Distance = √((7)^2 + (-8)^2)

Distance = √(49 + 64)

Distance = √(113)

Distance ≈ 10.63 (rounded to the nearest hundredth)

Therefore, the distance between point A and point B is approximately 10.63 units.