Question

Find the distance between each pair of points. Round

your answer to the nearest tenth, if necessary.
(6, 5), (-2, -4)
A) 12
B) 1.7
C) 4.1
D) 3.9

Answer 1

The distance between the points (6, 5) and (-2, -4) is found using the distance formula and calculated to be approximately 12.0 units when rounded to the nearest tenth, making the answer A) 12.

Step-by-step explanation:

To find the distance between the pair of points (6, 5) and (-2, -4), we use the distance formula derived from the Pythagorean theorem:

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

For our points, (x1, y1) = (6, 5) and (x2, y2) = (-2, -4). Plugging these into the formula we get:

Distance = √((-2 - 6)^2 + (-4 - 5)^2)

Distance = √((-8)^2 + (-9)^2)

Distance = √(64 + 81)

Distance = √(145)

Distance ≈ 12.04

When rounded to the nearest tenth, the distance is approximately 12.0 units.

Therefore, the answer is A) 12.