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anonymous
 one year ago
A gardner wants the rosebushes in her garden to be water by a rotating water sprinkler. The gardner draws a diagram of the garden using a grid in which each unit represents 1 ft. The rosebushed are at (1,3), (5,11), and (11,4). She wants to position the sprinkler at a point equidistant from each rosebush. Where should the gardner place the sprinkler? What equation describes the boundary of the circular region that he sprinkler will cover?
anonymous
 one year ago
A gardner wants the rosebushes in her garden to be water by a rotating water sprinkler. The gardner draws a diagram of the garden using a grid in which each unit represents 1 ft. The rosebushed are at (1,3), (5,11), and (11,4). She wants to position the sprinkler at a point equidistant from each rosebush. Where should the gardner place the sprinkler? What equation describes the boundary of the circular region that he sprinkler will cover?

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I believe you use a midpoint formula being m=(x1+x2/2, y1+y2/2) but that didnt really work so i need help with what formula to use i already drew it on graph paper.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i know it's coordinate geometry

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I think you might need to set up a system of equations using the distance formula. Let d be the distance between the sprinkler and the rosebushes, and (x, y) be the coordinates of the sprinkler. Then the three equations for the system are \[d=\sqrt{(x1)^2+(y3)^2}\] \[d=\sqrt{(x5)^2+(y11)^2}\] \[d=\sqrt{(x11)^2+(y4)^2}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Set any two of the equations equal to each other to eliminate d.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Or you could draw a triangle between the three points and find the intersection perpendicular bisectors

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0it's impossible so i gave up and gave it to my teacher but thank you.
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