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Plot each pair of points and find the distance between them. Give answers in both square-root form and as decimal approximations. Homework Help ✎

Draw a right triangle with the hypotenuse segment connecting the given points. Recall the Pythagorean Theorem. Find the difference between the x- and y-coordinates, respectively. Square these values, add them, and find the square root of this value.

  1. (3, −6) and (−2, 5)

  2. (5, −8) and (−3, 1)

  3. (0, 5) and (5, 0)

  4. Write the distance you found in part (c) in simplified square-root form.