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A right triangle is shown in the graph. y (ac, y) (r, s) Part A: Use the Pythagorean Theorem to derive the standard equation of

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A right triangle is shown in the graph. y (ac, y) (r, s) Part A: Use the Pythagorean Theorem to derive the standard equation of the circle with center at (r, s) and a point on the circle at (x, y). Show all necessary math work. (3 points) Part B: If (r, s) = (7, -4) and t = 10, determine the domain and range of the circle. (4 points) Part C: Is the point (9, 1) inside the border of the circle if (r, s) = (7, -4) and t = 10? Explain using mathematical evidence. (3 points)

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