Apply the Pythagorean Theorem to find the length between (0, 6)

Question

and (−3, −2)
. Round your answer to the nearest hundredth, if necessary.(1 point)

Answer 1

To find the distance between two points using the Pythagorean Theorem, we can use the formula:

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

In this case, let's assign the coordinates as follows:
(x1, y1) = (0, 6)
(x2, y2) = (-3, -2)

Plugging these values into the formula, we get:

Distance = √((-3 - 0)^2 + (-2 - 6)^2)
Distance = √((-3)^2 + (-8)^2)
Distance = √(9 + 64)
Distance = √73
Distance ≈ 8.54

Therefore, the distance between the points (0, 6) and (-3, -2) is approximately 8.54 units.