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.

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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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.
Transcribed Image Text: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.
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