Question

Apply the Pythagorean Theorem to find the length between (−1, 6)

and (5, −2)
. Round your answer to the nearest hundredth, if necessary.(1 point)
Responses

9.22
9.22

100
100

10
10

14

Answer 1

[AI-generated answer — Bot GPT 3.5]

The length between (-1, 6) and (5, -2) can be found using the Pythagorean Theorem:

A = √((x2 - x1)^2 + (y2 - y1)^2)

In this case, (x1, y1) = (-1, 6) and (x2, y2) = (5, -2).

A = √((5 - (-1))^2 + (-2 - 6)^2)
A = √((5 + 1)^2 + (-2 - 6)^2)
A = √(6^2 + (-8)^2)
A = √(36 + 64)
A = √100
A ≈ 10

So the length between (-1, 6) and (5, -2) is approximately 10.