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(4,7) (15,7)

(4,7) (15,7)

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.4: Writing And Graphing Equations Of Lines
Problem 78E
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Find the center, radius and standard form equation for this circle. 

The image presents a two-dimensional Cartesian coordinate system with the x-axis and y-axis clearly marked. The main feature of the diagram is a blue circle centered on these axes. The following details are noteworthy: 1. **Axes**: - The horizontal axis is labeled as the x-axis. - The vertical axis is labeled as the y-axis. 2. **Circle**: - The circle is depicted in blue. - Its center is marked with a black dot. - The center of the circle is at the coordinates (4, 7) on the Cartesian plane. 3. **Points on the Circle’s Diameter**: - Two points are noted on the circle's diameter, aligned horizontally: - Point (4, 7) is indicated on the left. - Point (15, 7) is indicated on the right. This diagram could be used to illustrate the concept of a circle within a coordinate plane, showing the relationship between the circle’s center, radius, and diameter. It may also serve to demonstrate how to plot and identify points on a Cartesian coordinate system.
Transcribed Image Text:The image presents a two-dimensional Cartesian coordinate system with the x-axis and y-axis clearly marked. The main feature of the diagram is a blue circle centered on these axes. The following details are noteworthy: 1. **Axes**: - The horizontal axis is labeled as the x-axis. - The vertical axis is labeled as the y-axis. 2. **Circle**: - The circle is depicted in blue. - Its center is marked with a black dot. - The center of the circle is at the coordinates (4, 7) on the Cartesian plane. 3. **Points on the Circle’s Diameter**: - Two points are noted on the circle's diameter, aligned horizontally: - Point (4, 7) is indicated on the left. - Point (15, 7) is indicated on the right. This diagram could be used to illustrate the concept of a circle within a coordinate plane, showing the relationship between the circle’s center, radius, and diameter. It may also serve to demonstrate how to plot and identify points on a Cartesian coordinate system.
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