5) A point P moves in the plane so that it is always equidistant from each of the points A = (3,2) and B = (5,-4). Find a simple equation that the coordinates (x, y) of P must satisfy. Hint: P being equidistant from A and B means that P is always an equal distance away from A and B. Hint: Compute the square of the distance from P to A and to B, respectively.

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A: Polynomial Function:- A polynomial function is an expression with a single independent variable…

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A: Given data  πr2 = 224 Arae of octagon = 22

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A: Please see the below picture for detailed solution.

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A:

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A: Given data:- From the above figure, PQ=SR, PS=QR To find:- Prove ∆PQR=∆RSP

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A: We have to evaluate the integral.   The power rule of integration is-  ∫xndx=xn+1n+1+c

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A: See the details solution in below

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A: Topic:- geometry

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A: We have to solve above question

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A: We have to divide  5x5 + 3x4 + 2x3 − 2x + 5 by x-2 using Synthetic Division.

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A: Since you have asked multiple question, we will solve the first question for you. If you want any…