Need help please ## Writing the Equation of an Ellipse### 1. Vertices and Minor Axis- **Vertices**: \((-10, 4)\) and \( (2, 4) \)- **Minor Axis Length**: 10### 2. Eccentricity and Foci- **Eccentricity**: \( \frac{4}{5} \)- **Foci**: \((-4, 0)\) and \( (4, 0) \)### 3. Center, Major Axis, and Foci- **Center**: \((-8, 5)\)- **Major Axis (Vertical)**: Length 18- **Foci**: with length 14### Graphical RepresentationThe image displays a coordinate grid with the x-axis and y-axis labeled. The graph allows for plotting of points, vertices, and the center to aid in the visualization of the ellipse. Each unit on the grid is clearly marked, helping in understanding the geometric properties and placement of the ellipse. Use utility graphing tools to plot given points and lines to create a visual representation of the described ellipses.

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Answered: IV. Write the equation of the ellipse.…

Math

Geometry

IV. Write the equation of the ellipse. 1) vertices at (-10, 4) and (2, 4); minor axis with length 10 10 8 6 14

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Need help please

## Writing the Equation of an Ellipse

### 1. Vertices and Minor Axis
- **Vertices**: \((-10, 4)\) and \( (2, 4) \)
- **Minor Axis Length**: 10

### 2. Eccentricity and Foci
- **Eccentricity**: \( \frac{4}{5} \)
- **Foci**: \((-4, 0)\) and \( (4, 0) \)

### 3. Center, Major Axis, and Foci
- **Center**: \((-8, 5)\)
- **Major Axis (Vertical)**: Length 18
- **Foci**: with length 14

### Graphical Representation
The image displays a coordinate grid with the x-axis and y-axis labeled. The graph allows for plotting of points, vertices, and the center to aid in the visualization of the ellipse. Each unit on the grid is clearly marked, helping in understanding the geometric properties and placement of the ellipse. Use utility graphing tools to plot given points and lines to create a visual representation of the described ellipses.

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