A satellite television reception station is to be located at point P so that the sum of the squares of the distances from P to the three towns A, B, and C is a minimum. Town A is located at (0,0), town B is located at (2,9), and town C is located at (10,0). Find the coordinates (x,y) of point P, that will minimize the cost of providing satellite cable television for all three towns. B(2,9) 8- 04 A(d,0) 6 C(10,0) 12 ...... The station should be placed at the point. (Type an ordered pair.)

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