anonymous
  • anonymous
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?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
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anonymous
  • anonymous
I 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
  • anonymous
i know it's coordinate geometry
anonymous
  • anonymous
I 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 \[d=\sqrt{(x-1)^2+(y-3)^2}\] \[d=\sqrt{(x-5)^2+(y-11)^2}\] \[d=\sqrt{(x-11)^2+(y-4)^2}\]

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anonymous
  • anonymous
Set any two of the equations equal to each other to eliminate d.
anonymous
  • anonymous
Or you could draw a triangle between the three points and find the intersection perpendicular bisectors
anonymous
  • anonymous
it's impossible so i gave up and gave it to my teacher but thank you.

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