What is the distance between two points(2,-6)(-7,1)

11.4

Step-by-step explanation:

Find the distance in the x-direction between the x-components:  2 - (-7) = 9.

Similarly: between the y-components:  1 - (-6) = 7

Apply the Pythagorean Theorem:  9^2 + 7^2 = d^2, where d is the desired distance:

81 + 49 = d^2, or d^2 = 130

The distance d is approximately √130 ≈ 11.4

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