To calculate: The center and radius of the circle, if the given equation is a circle.

Expert Solution & Answer

Answer to Problem 21WE

The given equation has no graph because it has not any solution.

Explanation of Solution

Given information: The given equation of the circle is x2+y2+8x+2y+18=0 .

Formula used: (x−h)2+(y−k)2=r2

Calculation: Rewrite the given equation into the standard form of a circle.

x2+y2+8x+2y+18=0x2+8x+y2+2y=−18

Try to make them perfect square,

x2+8x+y2+2y=−18y2+2y=−x2−8x−18

Here, the equation does not have the same coefficient of x2 and y2 terms. So, It is not an equation of a circle.

Since the given equation does not match any form of a conic section. Therefore, the given equation does not have a graph.

Algebra and Trigonometry: Structure and Method, Book 2, Chapter 9.2, Problem 21WE

Chapter 9.2, Problem 20WE

Chapter 9.2, Problem 22WE

Chapter 9 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

Ch. 9.1 - Prob. 1OE Ch. 9.1 - Prob. 2OE Ch. 9.1 - Prob. 3OE Ch. 9.1 - Prob. 4OE Ch. 9.1 - Prob. 5OE Ch. 9.1 - Prob. 6OE Ch. 9.1 - Prob. 7OE Ch. 9.1 - Prob. 8OE Ch. 9.1 - Prob. 9OE Ch. 9.1 - Prob. 10OE

Ch. 9.1 - Prob. 11OE Ch. 9.1 - Prob. 12OE Ch. 9.1 - Prob. 13OE Ch. 9.1 - Prob. 14OE Ch. 9.1 - Prob. 15OE Ch. 9.1 - Prob. 1WE Ch. 9.1 - Prob. 2WE Ch. 9.1 - Prob. 3WE Ch. 9.1 - Prob. 4WE Ch. 9.1 - Prob. 5WE Ch. 9.1 - Prob. 6WE Ch. 9.1 - Prob. 7WE Ch. 9.1 - Prob. 8WE Ch. 9.1 - Prob. 9WE Ch. 9.1 - Prob. 10WE Ch. 9.1 - Prob. 11WE Ch. 9.1 - Prob. 12WE Ch. 9.1 - Prob. 13WE Ch. 9.1 - Prob. 14WE Ch. 9.1 - Prob. 15WE Ch. 9.1 - Prob. 16WE Ch. 9.1 - Prob. 17WE Ch. 9.1 - Prob. 18WE Ch. 9.1 - Prob. 19WE Ch. 9.1 - Prob. 20WE Ch. 9.1 - Prob. 21WE Ch. 9.1 - Prob. 22WE Ch. 9.1 - Prob. 23WE Ch. 9.1 - Prob. 24WE Ch. 9.1 - Prob. 25WE Ch. 9.1 - Prob. 26WE Ch. 9.1 - Prob. 27WE Ch. 9.1 - Prob. 28WE Ch. 9.1 - Prob. 29WE Ch. 9.1 - Prob. 30WE Ch. 9.1 - Prob. 31WE Ch. 9.1 - Prob. 32WE Ch. 9.1 - Prob. 1P Ch. 9.1 - Prob. 2P Ch. 9.1 - Prob. 3P Ch. 9.1 - Prob. 4P Ch. 9.1 - Prob. 5P Ch. 9.1 - Prob. 6P Ch. 9.1 - Prob. 7P Ch. 9.1 - Prob. 8P Ch. 9.1 - Prob. 9P Ch. 9.1 - Prob. 10P Ch. 9.1 - Prob. 11P Ch. 9.1 - Prob. 12P Ch. 9.1 - Prob. 13P Ch. 9.1 - Prob. 14P Ch. 9.1 - Prob. 1MRE Ch. 9.1 - Prob. 2MRE Ch. 9.1 - Prob. 3MRE Ch. 9.1 - Prob. 4MRE Ch. 9.1 - Prob. 5MRE Ch. 9.1 - Prob. 6MRE Ch. 9.1 - Prob. 1CE Ch. 9.1 - Prob. 2CE Ch. 9.1 - Prob. 3CE Ch. 9.1 - Prob. 4CE Ch. 9.2 - Prob. 1OE Ch. 9.2 - Prob. 2OE Ch. 9.2 - Prob. 3OE Ch. 9.2 - Prob. 4OE Ch. 9.2 - Prob. 5OE Ch. 9.2 - Prob. 6OE Ch. 9.2 - Prob. 7OE Ch. 9.2 - Prob. 8OE Ch. 9.2 - Prob. 9OE Ch. 9.2 - Prob. 10OE Ch. 9.2 - Prob. 11OE Ch. 9.2 - Prob. 12OE Ch. 9.2 - Prob. 13OE Ch. 9.2 - Prob. 14OE Ch. 9.2 - Prob. 15OE Ch. 9.2 - Prob. 1WE Ch. 9.2 - Prob. 2WE Ch. 9.2 - Prob. 3WE Ch. 9.2 - Prob. 4WE Ch. 9.2 - Prob. 5WE Ch. 9.2 - Prob. 6WE Ch. 9.2 - Prob. 7WE Ch. 9.2 - Prob. 8WE Ch. 9.2 - Prob. 9WE Ch. 9.2 - Prob. 10WE Ch. 9.2 - Prob. 11WE Ch. 9.2 - Prob. 12WE Ch. 9.2 - Prob. 13WE Ch. 9.2 - Prob. 14WE Ch. 9.2 - Prob. 15WE Ch. 9.2 - Prob. 16WE Ch. 9.2 - Prob. 17WE Ch. 9.2 - Prob. 18WE Ch. 9.2 - Prob. 19WE Ch. 9.2 - Prob. 20WE Ch. 9.2 - Prob. 21WE Ch. 9.2 - Prob. 22WE Ch. 9.2 - 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Prob. 20WE Ch. 9.8 - Prob. 21WE Ch. 9.8 - Prob. 22WE Ch. 9.8 - Prob. 23WE Ch. 9.8 - Prob. 24WE Ch. 9.8 - Prob. 25WE Ch. 9.8 - Prob. 26WE Ch. 9.8 - Prob. 1P Ch. 9.8 - Prob. 2P Ch. 9.8 - Prob. 3P Ch. 9.8 - Prob. 4P Ch. 9.8 - Prob. 5P Ch. 9.8 - Prob. 6P Ch. 9.8 - Prob. 7P Ch. 9.8 - Prob. 8P Ch. 9.8 - Prob. 9P Ch. 9.8 - Prob. 10P Ch. 9.8 - Prob. 11P Ch. 9.8 - Prob. 12P Ch. 9.8 - Prob. 13P Ch. 9.8 - Prob. 14P Ch. 9.9 - Prob. 1OE Ch. 9.9 - Prob. 2OE Ch. 9.9 - Prob. 3OE Ch. 9.9 - Prob. 4OE Ch. 9.9 - Prob. 5OE Ch. 9.9 - Prob. 6OE Ch. 9.9 - Prob. 7OE Ch. 9.9 - Prob. 8OE Ch. 9.9 - Prob. 9OE Ch. 9.9 - Prob. 10OE Ch. 9.9 - Prob. 11OE Ch. 9.9 - Prob. 12OE Ch. 9.9 - Prob. 1WE Ch. 9.9 - Prob. 2WE Ch. 9.9 - Prob. 3WE Ch. 9.9 - Prob. 4WE Ch. 9.9 - Prob. 5WE Ch. 9.9 - Prob. 6WE Ch. 9.9 - Prob. 7WE Ch. 9.9 - Prob. 8WE Ch. 9.9 - Prob. 9WE Ch. 9.9 - Prob. 10WE Ch. 9.9 - Prob. 11WE Ch. 9.9 - Prob. 12WE Ch. 9.9 - Prob. 13WE Ch. 9.9 - Prob. 14WE Ch. 9.9 - Prob. 15WE Ch. 9.9 - Prob. 16WE Ch. 9.9 - Prob. 17WE Ch. 9.9 - 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