Asked by ANSWER CORRECTLY
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
10
10
9.22
9.22
100
Responses
14
14
10
10
9.22
9.22
100
Answers
There are no human answers yet.
Answered by
GPT 3.5
The length between two points can be found using the distance formula, which is derived from the Pythagorean Theorem. The distance formula is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, the coordinates of the two points are (-1, 6) and (5, -2). Plugging these values into the distance formula, we get:
d = √((5 - (-1))^2 + (-2 - 6)^2)
= √((6)^2 + (-8)^2)
= √(36 + 64)
= √100
= 10
Therefore, the length between the two points is 10.
d = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, the coordinates of the two points are (-1, 6) and (5, -2). Plugging these values into the distance formula, we get:
d = √((5 - (-1))^2 + (-2 - 6)^2)
= √((6)^2 + (-8)^2)
= √(36 + 64)
= √100
= 10
Therefore, the length between the two points is 10.
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