An inground sprinkler nozzle sprays water onto the grass in the shape of a circle, with the nozzle at the center of the circle. On a coordinate plane, the nozzle is located at (0,5) and the points (0,25) and (0,-15) lie on the circle. Which equation represents the boundary that the sprinkler covers?A. x^2 + (y - 5)^2 = 625B. x^2 + (y - 5)^2 = 400C. (x - 5)^2 + y^2 = 625D. (x - 5)^2 + y^2 = 400

Answer :

Let's first represent the given information:

By doing that we note that the radius of this circumference must be 20 units, and it is a circumference translated 5 units up from the origin. So, the equation that represents that situation is:

[tex]x^2+(y-5)^2=20^2[/tex][tex]x^2+(y-5)^2=400[/tex]

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