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The circle given by: (x-4)2+(y+11)2=25 is shifted down 6. The radius is then tripled. What is the center and radius of the new circle?

User S M
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Final answer:

The new circle has a center at (4, -17) and a radius of 15 units, after shifting the original circle down 6 units and tripling its radius.

Step-by-step explanation:

The student has given the equation of a circle: (x-4)^2 + (y+11)^2 = 25.

Initially, the center of the circle is at point (4, -11) with a radius of 5 units (since the square of the radius is 25).

When the circle is shifted down by 6 units, the y-coordinate of the center decreases by 6.

Therefore, the new center is (4, -17). Subsequently, tripling the radius means the new radius is 15 units, three times the original radius.

Therefore, the center and radius of the new circle are (4, -17) and 15 units, respectively.

User Ravit D
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