Mathematics: I need HELP ASAP!! Please explain how to solve the problem

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I need HELP ASAP!! Please explain how to solve the - id14029432, crawford184232323234

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dyalisa15

31.08.2021

Mathematics

$(x+1)^2+(y+4)^2=9\\$

Step-by-step explanation:

The general format for the equation of a circle is the following:

$(x-h)^2+(y-k)^2=a^2\\$

Where (h,k) is the center of the circle and () is the circle's radius. Please note, that the circle ( $(x-h)^2+(y-k)^2=a^2\\$ ) has a center that is (h) units to the right of the origin, and (k) units above the origin.

The given circle has a center at (-1,-4) , moreover, its radius is (3) units. Therefore, one must substitute these points into the equation of a circle and simplify to find its equation:

$(x-h)^2+(y-k)^2=a^2\\$

$(x-(-1))^2+(y-(-4))^2=(3)^2\\$

$(x+1)^2+(y+4)^2=9\\$

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