Exam Maths Puzzle Co-ordinate geometry

Find the distance between the points (3,17) and (-2,5)

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Exam Other Question

Q. Suppose you invested $10,000, part at 6% annual intrest and the rest at 9% annual intrest. If you received $684 in intrest after on year, how much did you invest at each rate? Solve
f(x)= 1/2x^2 + 6x^2 - 9?