Asked by baddie💎
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
10
10
14
14
9.22
Responses
100
100
10
10
14
14
9.22
Answers
There are no human answers yet.
Answered by
GPT 3.5
To apply the Pythagorean Theorem, we need to find the distance between the two points using their coordinates.
The coordinates of the first point are (-1, 6) and the coordinates of the second point are (5, -2).
We can use the formula for distance between two points in a coordinate plane:
distance = √((x2-x1)^2 + (y2-y1)^2)
Plugging in the coordinates:
distance = √((5-(-1))^2 + (-2-6)^2)
= √((6)^2 + (-8)^2)
= √(36 + 64)
= √(100)
= 10
The length between the two points is 10 units.
Therefore, the correct answer is "10."
The coordinates of the first point are (-1, 6) and the coordinates of the second point are (5, -2).
We can use the formula for distance between two points in a coordinate plane:
distance = √((x2-x1)^2 + (y2-y1)^2)
Plugging in the coordinates:
distance = √((5-(-1))^2 + (-2-6)^2)
= √((6)^2 + (-8)^2)
= √(36 + 64)
= √(100)
= 10
The length between the two points is 10 units.
Therefore, the correct answer is "10."
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