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Find the solution (s) to the system of equations represented in the graph. 6 (4,0) -6-3-2-1 3 O(0,4) and (4,0) O(0,4) and (-4, 0) O (0, -4) and (4,0) O(0, -4) and (-4.0) 20 10 (0, -4) 10.

Find the solution (s) to the system of equations represented in the graph. 6 (4,0) -6-3-2-1 3 O(0,4) and (4,0) O(0,4) and (-4, 0) O (0, -4) and (4,0) O(0, -4) and (-4.0) 20 10 (0, -4) 10.

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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### Solving Systems of Equations with Graphs #### Task: Find the solution(s) to the system of equations represented in the graph. #### Graph Analysis: The graph provided illustrates the intersection points of a circle and a line on the Cartesian plane. - **Circle:** The circle has a center at the origin \((0, 0)\) and a radius of 5 (indicated by the points on the circle at \((5,0)\) and \((0,5)\)). - **Line:** The line intersects the circle at two points. The points of intersection, highlighted on the graph, are: - \((4, 0)\) - \((0, -4)\) #### Intersection Points: To determine the solution(s) to the system of equations, identify the coordinates at the intersection points between the circle and the line. In this graph: - The intersection points are \((4, 0)\) and \((0, -4)\). #### Solution Options: Select the correct pair of intersection points from the given choices: - \(\circ\) \((0, 4)\) and \((4, 0)\) - \(\circ\) \((0, 4)\) and \((-4, 0)\) - \(\circ\) \((0, -4)\) and \((4, 0)\) - \(\circ\) \((0, -4)\) and \((-4, 0)\) Based on the analysis, the correct pair of points where the circle and the line intersect is: - \(\circ\) \((0, -4)\) and \((4, 0)\) This option correctly identifies the points of intersection on the graph. Ensure you double-check the graph to confirm your answer matches the intersection points identified.
Transcribed Image Text:### Solving Systems of Equations with Graphs #### Task: Find the solution(s) to the system of equations represented in the graph. #### Graph Analysis: The graph provided illustrates the intersection points of a circle and a line on the Cartesian plane. - **Circle:** The circle has a center at the origin \((0, 0)\) and a radius of 5 (indicated by the points on the circle at \((5,0)\) and \((0,5)\)). - **Line:** The line intersects the circle at two points. The points of intersection, highlighted on the graph, are: - \((4, 0)\) - \((0, -4)\) #### Intersection Points: To determine the solution(s) to the system of equations, identify the coordinates at the intersection points between the circle and the line. In this graph: - The intersection points are \((4, 0)\) and \((0, -4)\). #### Solution Options: Select the correct pair of intersection points from the given choices: - \(\circ\) \((0, 4)\) and \((4, 0)\) - \(\circ\) \((0, 4)\) and \((-4, 0)\) - \(\circ\) \((0, -4)\) and \((4, 0)\) - \(\circ\) \((0, -4)\) and \((-4, 0)\) Based on the analysis, the correct pair of points where the circle and the line intersect is: - \(\circ\) \((0, -4)\) and \((4, 0)\) This option correctly identifies the points of intersection on the graph. Ensure you double-check the graph to confirm your answer matches the intersection points identified.
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