SOLUTION: The equation that represents the transmission boundaries of a cercullar phone tower is x²+y²-10x+2y-199=0. What is the greatest distance, in kilometers, can the signal of the tow

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Question 1175752: The equation that represents the transmission boundaries of a cercullar phone tower is x²+y²-10x+2y-199=0. What is the greatest distance, in kilometers, can the signal of the tower be transmitted?
Answer by ikleyn(52875) About Me  (Show Source):
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The equation that represents the transmission boundaries of a cercullar phone tower is x²+y²-10x+2y-199=0.
What is the greatest distance, in kilometers, can the signal of the tower be transmitted?
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The written equation represents a circle


    %28x-5%29%5E2 + %28y-1%29%5E2 = 199 + 25 + 1 = 225.


The radius of this circle is  sqrt%28225%29 = 15 units.


Based on it, the greatest distance, in kilometers, to which the signal from the tower can be transmitted, is 15 kilometers.