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A circle passes through (4, -2) , (-3, 5), and (6, 2) Using the general form of a circle x? + y² + Dx + Ey + F = 0 and the points above, fill in missing numbers to create the system of equations. (4, -2) creates D 4 + E -2 + 1F = -20 (-3, 5) creates D -3 +E 5 + 1F = -34 (6, 2) creates D 6 + E 2 + 1F = -40 Solve the system of equations that you created, and write the equation for the circle by filling in the values for D, E, and F. x? + y²+ -2 x+ -4 y+ -20 = 0

A circle passes through (4, -2) , (-3, 5), and (6, 2) Using the general form of a circle x? + y² + Dx + Ey + F = 0 and the points above, fill in missing numbers to create the system of equations. (4, -2) creates D 4 + E -2 + 1F = -20 (-3, 5) creates D -3 +E 5 + 1F = -34 (6, 2) creates D 6 + E 2 + 1F = -40 Solve the system of equations that you created, and write the equation for the circle by filling in the values for D, E, and F. x? + y²+ -2 x+ -4 y+ -20 = 0

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.5: Systems Involving Nonlinear Equations
Problem 39PS
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A circle passes through (4, -2) , (-3, 5), and (6, 2) Using the general form of a circle x? + y² + Dx + Ey + F = 0 and the points above, fill in missing numbers to create the system of equations. (4, -2) creates D 4 + E -2 + 1F = -20 (-3, 5) creates D -3 + E 5 + 1F = -34 (6, 2) creates D 6 + E 2 + 1F -40 Solve the system of equations that you created, and write the equation for the circle by filling in the values for D, E, and F. x² + y²+ -2 x+ -4 y+ -20 = 0
Transcribed Image Text:A circle passes through (4, -2) , (-3, 5), and (6, 2) Using the general form of a circle x? + y² + Dx + Ey + F = 0 and the points above, fill in missing numbers to create the system of equations. (4, -2) creates D 4 + E -2 + 1F = -20 (-3, 5) creates D -3 + E 5 + 1F = -34 (6, 2) creates D 6 + E 2 + 1F -40 Solve the system of equations that you created, and write the equation for the circle by filling in the values for D, E, and F. x² + y²+ -2 x+ -4 y+ -20 = 0
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