Question

Find the distance between the points (-6, 1) and (5, -1).

You may simplify the radical if you wish, but it is not necessary.
Provide your answer below:
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Answer 1

The distance between the points (-6, 1) and (5, -1) is 5sqrt(5).

Step-by-step explanation:

To find the distance between two points, we can use the distance formula:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Using the given points (-6, 1) and (5, -1), we can substitute the values into the formula:

d = sqrt((5 - (-6))^2 + (-1 - 1)^2)

d = sqrt(11^2 + (-2)^2)

d = sqrt(121 + 4)

d = sqrt(125)

d = 5sqrt(5)

Therefore, the distance between the points (-6, 1) and (5, -1) is 5sqrt(5).

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