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Which point lies on the circle represented by the equation (x − 3)2 + (y + 4)2 = 62? A. (9,-2) B. (0,11) C. (3,10) D. (-9,4) E. (-3,-4)

Respuesta :

The Answer Is: E: -3,-4

A circle can be characterized by its center's location and its radius's length. The point that lies on the circle is represented by the equation (x−3)² + (y+4)² = 6² is (-3,-4).

What is an equation of a circle?

A circle can be characterized by its center's location and its radius's length.

Let the center of the considered circle be at (h,k) coordinate.

Let the radius of the circle be 'r' units.

Then, the equation of that circle would be:

(x-h)² + (y-k)² = r²

If a circle is graphed with the equation on the graph, also, all the points given are graphed, then it can be observed that the only point that lies on the circle is (-3,-4).

Hence, the point that lies on the circle is represented by the equation (x−3)² + (y+4)² = 6² is (-3,-4).

Learn more about the equation of a circle here:

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