Question

Ау 12- B(1,12) 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 (1,12), and town C is located at (17,0). Find the coordinates (x,y) of point P, that will minimize the cost of providing satellite television for all three towns. 6- \ P(x,y) х 0- A(0,0) Ś C(17,0) 18 The station should be placed at the point (Type an ordered pair.)

Answer 1

h 8(!,!2) sanaro of the distance from p to A (x0) + (yo) (1,7 = xty x Samare of the distonie (17,0) from p to B (2-1)^ +17-12) Sarnane of the distance from p to (2-17.)~ tyr A(0,0) sum + wht a(z1-2) + (-2) + (-e) tahtex hoz-ehtitar-axt ahtax xhe-ax+dhat + 289 +7 3x^-362 +34"-248 + 434 31X-12+36) +3179 - 87 +16) +434 - 108-48 3 (3-6)+ 31 7- 4) + 278 minimu if um 2=6, y = 4. : location of p is (6,4).

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