User2983 Posted March 10, 2005 Report Share Posted March 10, 2005 The question gives the following information: -A woman wants to place a hot tub 13 feet to the right and 7 feet down from the center of her pool.-The pool's equation is: x^2+4y^2+6x-8y-87=0-It also says the hot tub's diameter is 6 feet It wants to know what the hot tub's equation would be? I had it broken down into: x(x+6) + 4y(y-2)=87 but i wasn't sure if this is on track or not. Any help would be appreciated. :) Link to comment Share on other sites More sharing options...
Tim_Lou Posted March 11, 2005 Report Share Posted March 11, 2005 the pool's equation is: (x+3)^2+4(y-1)^2 = 100,which is an ellipse... i assume the pool is a circle, since its 13 feet to the right and 7 feet down from the center, which is (-3,1), it should center at (10,-6)the equation would be (x-10)^2 + (y+6)^2 = 36 Link to comment Share on other sites More sharing options...
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