(x+8)* + y² = 20 (x +8)* + y² = 25 А. В. С. (x - 8)* + y² = 10 D. (x – 8)° + y² = 20 E. None of the above

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°.
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PLEASE DO THIS WITHOUT A CALCULATOR. answer must match one of the answer choices. there is only one right answer. if your answer is none of these please check your math that answer choice is wrong.

### Problem 8.2.54

Choose the correct equation from the options below:

A. \((x + 8)^2 + y^2 = 20\)

B. \((x + 8)^2 + y^2 = 2 \sqrt{5}\)

C. \((x - 8)^2 + y^2 = 10\)

D. \((x - 8)^2 + y^2 = 20\)

E. None of the above

### Explanation

This problem involves selecting the correct equation from a set of options. The equations provided are variations on the standard form of a circle \((x - h)^2 + (y - k)^2 = r^2\), where \(h\) and \(k\) are the coordinates of the center, and \(r\) is the radius. The expressions include modifications to \(x\) and adjustments in the constants on the right side, suggesting circles centered away from the origin.
Transcribed Image Text:### Problem 8.2.54 Choose the correct equation from the options below: A. \((x + 8)^2 + y^2 = 20\) B. \((x + 8)^2 + y^2 = 2 \sqrt{5}\) C. \((x - 8)^2 + y^2 = 10\) D. \((x - 8)^2 + y^2 = 20\) E. None of the above ### Explanation This problem involves selecting the correct equation from a set of options. The equations provided are variations on the standard form of a circle \((x - h)^2 + (y - k)^2 = r^2\), where \(h\) and \(k\) are the coordinates of the center, and \(r\) is the radius. The expressions include modifications to \(x\) and adjustments in the constants on the right side, suggesting circles centered away from the origin.
**Circle Properties**

**Problem 54.**

- **Center**: \((-8, 0)\)

- **Radius**: \(2\sqrt{5}\)

This example provides the center and radius of a circle in a coordinate plane. The center is located at the point \((-8, 0)\), and the radius of the circle measures \(2\sqrt{5}\). This information allows us to understand the position and size of the circle within the coordinate system.
Transcribed Image Text:**Circle Properties** **Problem 54.** - **Center**: \((-8, 0)\) - **Radius**: \(2\sqrt{5}\) This example provides the center and radius of a circle in a coordinate plane. The center is located at the point \((-8, 0)\), and the radius of the circle measures \(2\sqrt{5}\). This information allows us to understand the position and size of the circle within the coordinate system.
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