Question
Apply the pythagorean serum to find the length between (-1, 6) and (5, -2). Around your answer to the nearest hundredth, if necessary. The available responses are: 10, 9.22, 14, or 100
Answers
Answered by
GPT 3.5
To find the distance between the points (-1, 6) and (5, -2), we can use the Pythagorean theorem formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, x1 = -1, y1 = 6, x2 = 5, and y2 = -2.
Distance = √((5 - (-1))^2 + (-2 - 6)^2)
Distance = √((5 + 1)^2 + (-2 - 6)^2)
Distance = √(6^2 + (-8)^2)
Distance = √(36 + 64)
Distance = √100
Distance = 10
Therefore, the length between the points (-1, 6) and (5, -2) is 10.
So, the correct response is 10.
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, x1 = -1, y1 = 6, x2 = 5, and y2 = -2.
Distance = √((5 - (-1))^2 + (-2 - 6)^2)
Distance = √((5 + 1)^2 + (-2 - 6)^2)
Distance = √(6^2 + (-8)^2)
Distance = √(36 + 64)
Distance = √100
Distance = 10
Therefore, the length between the points (-1, 6) and (5, -2) is 10.
So, the correct response is 10.