Exam 12: The Circle

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Find the center and radius, and choose the graph of the following circle. Find the center and radius, and choose the graph of the following circle.

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One number is 8 less than the square of another. Their sum is 12. Find the numbers.

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Find the center and radius, and choose the graph of the following circle. Find the center and radius, and choose the graph of the following circle.

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President's Park is enclosed by an elliptical path with major axis 470 meters and minor axis 340 meters. What is the equation for the path around the park? The major axis is parallel to the x -axis, and the point of origin is placed in the center of President's Park.

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Write the equation of the circle with the given center and radius. Center (2, 3); r = 5

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Solve the system of equations. Solve the system of equations.

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Choose the graph of the solution sets to the following systems. Choose the graph of the solution sets to the following systems.

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Find the center and radius, and choose the graph of the following circle. Find the center and radius, and choose the graph of the following circle.

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A new theme park is planning an archway at its main entrance. The arch is to be in the form of a semi-ellipse with the major axis as the span. If the span is to be 48 feet and the height at the center is to be 8 feet, what is the equation of the ellipse? A new theme park is planning an archway at its main entrance. The arch is to be in the form of a semi-ellipse with the major axis as the span. If the span is to be 48 feet and the height at the center is to be 8 feet, what is the equation of the ellipse?

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A parabola and a circle each contain the points (-5, 0), (0, 5), and (5, 0). Choose the graph that shows each curve on the same coordinate system.

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Solve the system of equations. Solve the system of equations.

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Find the x - and y -intercepts, if they exist. Find the x - and y -intercepts, if they exist.

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Divide Divide   by   . by Divide   by   . .

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Choose the graph of the following equation. Choose the graph of the following equation.

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Find an equation for the graph. Find an equation for the graph.

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Write the equation of the circle with the given center and radius. Center Write the equation of the circle with the given center and radius. Center   ;  ; Write the equation of the circle with the given center and radius. Center   ;

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Write the equation of the circle with the given center and radius. Center Write the equation of the circle with the given center and radius. Center   ;  ; Write the equation of the circle with the given center and radius. Center   ;

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Find the distance between the following points. Find the distance between the following points.   and  and Find the distance between the following points.   and

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Solve the system of equations. Solve the system of equations.

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Choose the equation of the circle with the given center and radius. Center (4, 5); r = 8

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