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Stitz-Zeager_College_Algebra_e-book

# Definition 83 a system of linear equations with

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Unformatted text preview: 64 x2 y2 (c) + 9 25 (x − 6)2 (d) 256 3. (a) 2 x2 4 y − 1 2 (d) + =1 1 9 1 Center 0, 2 Major Axis along x = 0 (the y -axis) 1 Minor Axis along y = 2 Vertices (0,√ (0, −1) √ 2), 1+ 5 , 0, 1−2 5 Foci 0, 2 √ e= (e) (f) (y − 7)2 =1 25 (y + 9)2 + =1 81 + =1 + (y − 5)2 =1 192 4. Distance from the sun to aphelion ≈ 1.0167 AU. Distance from the sun to perihelion ≈ 0.9833 AU. 5 3 (x − 3)2 (y − 1)2 + =1 25 9 Center (3, 1) Major Axis along y = 1 Minor Axis along x = 3 Vertices (8, 1), (−2, 1) Foci (7, 1), (−1, 1) e= 4 5 (x − 2)2 (y + 2)2 + =1 5 6 Center (2, −2) Major Axis along x = 2 Minor Axis along √ = −2 y √ Vertices 2, −2 + 6 , (2, −2 − 6) Foci √ , −1), (2, −3) (2 e = 66 7.5 Hyperbolas 7.5 433 Hyperbolas In the deﬁnition of an ellipse, Deﬁnition 7.4, we ﬁxed two points called foci and looked at points whose distances to the foci always added to a constant distance d. Those prone to syntactical tinkering may wonder what, if any, curve we’d generate if we replaced added wi...
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