Questions 43-44: Consider the ellipse 9x² + 36y² = 324. 43. Which of the following statements about the vertices is correct?: * O(A) The vertices on the major axis are (-3, 0) and (3, 0), and the vertices on the minor axis are (0, -6) and (0, 6). O(B) The vertices on the major axis are (0, -6) and (0, 6), and the vertices on the minor axis are (-3, 0) and (3, 0). O(C) The vertices on the major axis are (0, -3) and (0, 3), and the vertices on the minor axis are (-6, 0) and (6, 0). O (D) The vertices on the major axis are (-6, 0) and (6, 0), and the vertices on the minor axis are (0, -3) and (0, 3). 44. Which of the following statements about the foci and the eccentricity is correct?: * O(A) The foci are (0, -3√3) and (0, 3√3), and the eccentricity is (1/2)√3. O(B) The foci are (0, -3√3) and (0, 3√3), and the eccentricity is √3. O(C) The foci are (-3√3, 0) and (3√3, 0), and the eccentricity is (1/2)√3. O (D) The foci are (-3√3, 0) and (3√3, 0), and the eccentricity is √3.

Questions 43-44: Consider the ellipse 9x² + 36y² = 324. 43. Which of the following statements about the vertices is correct?: * O(A) The vertices on the major axis are (-3, 0) and (3, 0), and the vertices on the minor axis are (0, -6) and (0, 6). O(B) The vertices on the major axis are (0, -6) and (0, 6), and the vertices on the minor axis are (-3, 0) and (3, 0). O(C) The vertices on the major axis are (0, -3) and (0, 3), and the vertices on the minor axis are (-6, 0) and (6, 0). O (D) The vertices on the major axis are (-6, 0) and (6, 0), and the vertices on the minor axis are (0, -3) and (0, 3). 44. Which of the following statements about the foci and the eccentricity is correct?: * O(A) The foci are (0, -3√3) and (0, 3√3), and the eccentricity is (1/2)√3. O(B) The foci are (0, -3√3) and (0, 3√3), and the eccentricity is √3. O(C) The foci are (-3√3, 0) and (3√3, 0), and the eccentricity is (1/2)√3. O (D) The foci are (-3√3, 0) and (3√3, 0), and the eccentricity is √3.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter7: Conic Sections

Section7.3: Hyperbolas

Problem 3E: The graph of the equation x2a2+y2b2=1 with a > 0, b > 0 is a hyperbola with ____...

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Label the vertices and foci on the graphs given for the ellipses in Exercises 2 and 3. (a)x252+y242=1 (b) x242+y252=1
The graph of the equation x2a2+y2b2=1 with a >b > 0 is an ellipse with vertices ( __, __ ) and ( __, __ ) and foci (c,0) , where c = ___. So the graph of x252+y242=1 is an ellipse with vertices ( __, __ ) and ( __, __ ) and foci ( __, __ ) and ( __, __ ).
An ellipse is the set of all points in the plane for which the ____ of the distances from two fixed points F1 and F2 is constant. The points F1 and F2 are called the ____ of the ellipse.
The graph of the equation x2a2+y2b2=1 with a > 0, b > 0 is a hyperbola with ____ (horizontal/vertical) transverse axis, vertices ( __, __ ) and ( __, __ ) and foci (0,c) , where c = ___. So the graph of x242y232=1 is a hyperbola with vertices ( __, __ ) and ( __, __ ) and foci ( __, __ ) and ( __, __ ).