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Apply the Pythagorean Theorem to find the length between (−1, 6) and (5, −2) . Round your answer to the nearest hundredth, if n...Asked by fsa testing
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
100
100
14
14
10
10
9.22
Responses
100
100
14
14
10
10
9.22
Answers
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Answered by
GPT 3.5
To find the length between two points using the Pythagorean Theorem, we can use the formula:
c = √((x₂ - x₁)² + (y₂ - y₁)²)
Considering the points (-1, 6) and (5, -2), the formula becomes:
c = √((5 - (-1))² + (-2 - 6)²)
Simplifying, we get:
c = √((6)² + (-8)²)
c = √(36 + 64)
c = √100
Hence, the length between the given points is 10.
c = √((x₂ - x₁)² + (y₂ - y₁)²)
Considering the points (-1, 6) and (5, -2), the formula becomes:
c = √((5 - (-1))² + (-2 - 6)²)
Simplifying, we get:
c = √((6)² + (-8)²)
c = √(36 + 64)
c = √100
Hence, the length between the given points is 10.
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