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6. For the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C. In the coordinate plane, a circle has the equation x? +y + 2x – 8y = 19. Part A: Rewrite the equation above by completing the square. Write the equation in the form ( – a) + (y – b) = c, where a, b, and c are constants. Show your work. Part B: What are the coordinates of the center of the circle, and what is the radius? Explain your answer. Part C: Suppose the measure of the radius is measured in inches. Calculate the diameter of the circle and provide the units? Based on this diameter of the circle, what could this circle represent in the real world?

6. For the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C. In the coordinate plane, a circle has the equation x? +y + 2x – 8y = 19. Part A: Rewrite the equation above by completing the square. Write the equation in the form ( – a) + (y – b) = c, where a, b, and c are constants. Show your work. Part B: What are the coordinates of the center of the circle, and what is the radius? Explain your answer. Part C: Suppose the measure of the radius is measured in inches. Calculate the diameter of the circle and provide the units? Based on this diameter of the circle, what could this circle represent in the real world?

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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6. For the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C. In the coordinate plane, a circle has the equation a? + y + 2 8y = 19. Part A: Rewrite the equation above by completing the square. Write the equation in the form ( – a) + (y – b) = c, where a, b, and c are constants. Show your work. Part B: What are the coordinates of the center of the circle, and what is the radius? Explain your answer. Part C: Suppose the measure of the radius is measured in inches. Calculate the diameter of the circle and provide the units? Based on this diameter of the circle, what could this circle represent in the real world?
Transcribed Image Text:6. For the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C. In the coordinate plane, a circle has the equation a? + y + 2 8y = 19. Part A: Rewrite the equation above by completing the square. Write the equation in the form ( – a) + (y – b) = c, where a, b, and c are constants. Show your work. Part B: What are the coordinates of the center of the circle, and what is the radius? Explain your answer. Part C: Suppose the measure of the radius is measured in inches. Calculate the diameter of the circle and provide the units? Based on this diameter of the circle, what could this circle represent in the real world?
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