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Decide whether or not the equation has a circle as its graph. If it does, give the cente and the radius. If it does not, describe the graph. x2 + y2 – 10x + 6y = - 33 Select the correct choice below and, if necessary, fill in the answer boxes to complete

Decide whether or not the equation has a circle as its graph. If it does, give the cente and the radius. If it does not, describe the graph. x2 + y2 – 10x + 6y = - 33 Select the correct choice below and, if necessary, fill in the answer boxes to complete

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Equation Analysis for Circle Graph** The equation to analyze: \[ x^2 + y^2 - 10x + 6y = -33 \] **Objective:** Decide whether or not the given equation represents a circle. If it does, provide the center and the radius. If it doesn't, describe the graph. **Options:** - **A.** The graph of the equation is a line. - **B.** The graph of the equation is a circle with center \(\_ \) (Type an ordered pair.) The radius of the circle is \(\_ \). - **C.** The graph of the equation is a point. - **D.** The graph is nonexistent. **Instructions:** - Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. **Graph Analysis and Explanation:** Follow the instructions by verifying which option accurately describes the graph of the given equation.
Transcribed Image Text:**Equation Analysis for Circle Graph** The equation to analyze: \[ x^2 + y^2 - 10x + 6y = -33 \] **Objective:** Decide whether or not the given equation represents a circle. If it does, provide the center and the radius. If it doesn't, describe the graph. **Options:** - **A.** The graph of the equation is a line. - **B.** The graph of the equation is a circle with center \(\_ \) (Type an ordered pair.) The radius of the circle is \(\_ \). - **C.** The graph of the equation is a point. - **D.** The graph is nonexistent. **Instructions:** - Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. **Graph Analysis and Explanation:** Follow the instructions by verifying which option accurately describes the graph of the given equation.
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