Q1. Video: Graph of an ellipse (https://youtu.be/pAbJUwbTrZ8?t=1074) x² y2 Graph the ellipse with equation 16 = 1. Identify the vertices of the ellipse. 49
Q1. Video: Graph of an ellipse (https://youtu.be/pAbJUwbTrZ8?t=1074) x² y2 Graph the ellipse with equation 16 = 1. Identify the vertices of the ellipse. 49
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
Related questions
Question
Graph the ellipse with equation \(\frac{x^2}{16} + \frac{y^2}{49} = 1\). Identify the vertices of the ellipse.
---
**Diagram Explanation:**
Below the question is a graph with labeled axes.
- The x-axis and y-axis both range from -10 to 10.
- The graph is centered at the origin (0, 0).
- The grid marks on the graph are at intervals of 1 unit.
To graph the ellipse:
1. Identify the center of the ellipse as the origin (0, 0).
2. The equation \(\frac{x^2}{16} + \frac{y^2}{49} = 1\) indicates:
- The semi-major axis is along the y-axis.
- The semi-major axis length is \(\sqrt{49} = 7\).
- The semi-minor axis length is \(\sqrt{16} = 4\).
**Vertices:**
- Along the y-axis: (0, 7) and (0, -7)
- Along the x-axis: (4, 0) and (-4, 0)
These points are where the ellipse intersects the axes.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3e404e79-a6d0-4428-9865-cf5f8a0330d5%2F63e5ea51-242d-483c-be63-9bf70d77ce6e%2Fjaof45h_processed.png&w=3840&q=75)
Transcribed Image Text:**Transcript:**
**Q1.** Video: [Graph of an ellipse](https://youtu.be/pAbJUwbTrZ8?t=1074)
Graph the ellipse with equation \(\frac{x^2}{16} + \frac{y^2}{49} = 1\). Identify the vertices of the ellipse.
---
**Diagram Explanation:**
Below the question is a graph with labeled axes.
- The x-axis and y-axis both range from -10 to 10.
- The graph is centered at the origin (0, 0).
- The grid marks on the graph are at intervals of 1 unit.
To graph the ellipse:
1. Identify the center of the ellipse as the origin (0, 0).
2. The equation \(\frac{x^2}{16} + \frac{y^2}{49} = 1\) indicates:
- The semi-major axis is along the y-axis.
- The semi-major axis length is \(\sqrt{49} = 7\).
- The semi-minor axis length is \(\sqrt{16} = 4\).
**Vertices:**
- Along the y-axis: (0, 7) and (0, -7)
- Along the x-axis: (4, 0) and (-4, 0)
These points are where the ellipse intersects the axes.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 1 images
Recommended textbooks for you
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning