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Type the standard form of the equation of the circle. (x-6)^(2)+(y-8)^(2)=100

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Final answer:

The given equation (x-6)² + (y-8)² = 100 is in standard form, representing a circle centered at (6,8) with a radius of 10.

Step-by-step explanation:

The equation (x-6)² + (y-8)² = 100 is already in the standard form of the equation of a circle. The standard form for the equation of a circle is (x-h)² + (y-k)² = r², where (h,k) is the center of the circle, and r is the radius. Comparing with the given equation, we can see that the center of the circle is at (6,8) and the radius r is 10, as √100 = 10. The standard form is concise and readily gives us the information needed to draw the circle or understand its properties without further manipulation.

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