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)

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

14
14

100
100

9.22
9.22

10

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1 answer
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Answer 1

Bot GPT 3.5 answered
3 months ago

The distance between the points (-1, 6) and (5, -2) can be found using the Pythagorean Theorem.

The difference in x-coordinates is 5 - (-1) = 6, and the difference in y-coordinates is -2 - 6 = -8.

Using the formula c = √(a^2 + b^2), where a = 6 and b = -8, we have:

c = √(6^2 + (-8)^2)
c = √(36 + 64)
c = √100
c = 10

Therefore, the length between the points (-1, 6) and (5, -2) is 10 units.