Given 4 points on a vertical ellipse (-1, 2.517), (0, 1.933), (1, 0.65), and (-4.449, 0). Select the missing coefficients (answers have been rounded to the nearest tenth). x²+ [Select] y + [ Select ] x + [ Select ] y + [ Select ] v = 0

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 44E: By definition, a hyperbola is the locus of points whose positive difference of distances from two...
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An ellipse or hyperbola uses the general form Ax? + Cy + Dx + Ey + F = 0. Solving for 5
unknowns (A, B, C, D, E, F) requires 5 equations, needs 5 points given. But if one of the coefficients
is divided out (A or C), then only 4 coefficients remain and only 4 points are needed.
x? + Cy + Dx + Ey + F = 0
Given 4 points on a vertical ellipse (-1, 2.517), (0, 1.933), (1, 0.65), and (-4.449, 0). Select the
missing coefficients (answers have been rounded to the nearest tenth).
x²+ [ Select ]
y + [ Select ]
x +
[
[ Select ]
y + [Select]
= 0
Transcribed Image Text:An ellipse or hyperbola uses the general form Ax? + Cy + Dx + Ey + F = 0. Solving for 5 unknowns (A, B, C, D, E, F) requires 5 equations, needs 5 points given. But if one of the coefficients is divided out (A or C), then only 4 coefficients remain and only 4 points are needed. x? + Cy + Dx + Ey + F = 0 Given 4 points on a vertical ellipse (-1, 2.517), (0, 1.933), (1, 0.65), and (-4.449, 0). Select the missing coefficients (answers have been rounded to the nearest tenth). x²+ [ Select ] y + [ Select ] x + [ [ Select ] y + [Select] = 0
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