To determine To sketch: The graph of a circle by finding the centre and radius from the equation x 2 + y 2 − 2 x + 4 y = 4 . Explanation Concept: Consider the equation of the circle in general form x 2 + y 2 + 2 g x + 2 f y + c = 0 with center ( − g , − f ) and the radius is g 2 + f 2 − c . By completing the squares, the above equation can be written in standard form as ( x − h ) 2 + ( y − k ) 2 = r 2 , the coordinate ( h , k ) is a centre and r is radius. And also, ( − g , − f ) = ( h , k ) and g 2 + f 2 − c = r 2 . Calculation: The equation of a circle is x 2 + y 2 − 2 x + 4 y = 4 . Combine the terms in same variables, ( x 2 − 2 x ) + ( y 2 + 4 y ) = 4 ( x 2 − 2 ⋅ x ⋅ 1 + 1 2 − 1 2 ) + ( y 2 + 2 ⋅ y ⋅ 2 + 2 2 − 2 2 ) = 4 Write the above equation in square form as follows

4th Edition

ISBN: 9780321833655

Author: Robert F. Blitzer

Publisher: PEARSON

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Chapter 6.5, Problem 79E

To determine

To sketch: The graph of a circle by finding the centre and radius from the equation x2+y2−2x+4y=4.

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Chapter 6.5, Problem 78E

Chapter 6, Problem 1MC

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Chapter 6 Solutions

College Algebra Essentials

Ch. 6.1 - Prob. 1CP Ch. 6.1 - Prob. 2CP Ch. 6.1 - Prob. 3CP Ch. 6.1 - Prob. 4CP Ch. 6.1 - Prob. 1CVC Ch. 6.1 - Prob. 2CVC Ch. 6.1 - Prob. 3CVC Ch. 6.1 - Prob. 4CVC Ch. 6.1 - Prob. 5CVC Ch. 6.1 - Prob. 6CVC

Ch. 6.1 - Prob. 1E Ch. 6.1 - Prob. 2E Ch. 6.1 - Prob. 3E Ch. 6.1 - Prob. 4E Ch. 6.1 - Prob. 5E Ch. 6.1 - Prob. 6E Ch. 6.1 - Prob. 7E Ch. 6.1 - Prob. 8E Ch. 6.1 - Prob. 9E Ch. 6.1 - Prob. 10E Ch. 6.1 - Prob. 11E Ch. 6.1 - Prob. 12E Ch. 6.1 - Prob. 13E Ch. 6.1 - Prob. 14E Ch. 6.1 - Prob. 15E Ch. 6.1 - Prob. 16E Ch. 6.1 - Prob. 17E Ch. 6.1 - Prob. 18E Ch. 6.1 - Prob. 19E Ch. 6.1 - Prob. 20E Ch. 6.1 - Prob. 21E Ch. 6.1 - Prob. 22E Ch. 6.1 - Prob. 23E Ch. 6.1 - Prob. 24E Ch. 6.1 - Prob. 25E Ch. 6.1 - Prob. 26E Ch. 6.1 - Prob. 27E Ch. 6.1 - Prob. 28E Ch. 6.1 - Prob. 29E Ch. 6.1 - Prob. 30E Ch. 6.1 - Prob. 31E Ch. 6.1 - Prob. 32E Ch. 6.1 - Prob. 33E Ch. 6.1 - Prob. 34E Ch. 6.1 - Prob. 35E Ch. 6.1 - Prob. 36E Ch. 6.1 - Prob. 37E Ch. 6.1 - Prob. 38E Ch. 6.1 - Prob. 39E Ch. 6.1 - Prob. 40E Ch. 6.1 - Prob. 41E Ch. 6.1 - Prob. 42E Ch. 6.1 - Prob. 43E Ch. 6.1 - Prob. 44E Ch. 6.1 - Prob. 45E Ch. 6.1 - Prob. 46E Ch. 6.1 - Write a system of linear equations in three or...Ch. 6.1 - Prob. 48E Ch. 6.1 - Prob. 49E Ch. 6.1 - Prob. 50E Ch. 6.1 - Prob. 51E Ch. 6.1 - Prob. 52E Ch. 6.1 - Prob. 53E Ch. 6.1 - Prob. 54E Ch. 6.1 - Prob. 55E Ch. 6.1 - Prob. 56E Ch. 6.1 - Prob. 57E Ch. 6.1 - Prob. 58E Ch. 6.1 - Prob. 59E Ch. 6.1 - Prob. 60E Ch. 6.1 - Prob. 61E Ch. 6.1 - Prob. 62E Ch. 6.1 - Prob. 63E Ch. 6.1 - Prob. 64E Ch. 6.1 - Prob. 65E Ch. 6.1 - Prob. 66E Ch. 6.1 - The table shows the daily production level and...Ch. 6.1 - Prob. 68E Ch. 6.1 - Prob. 69E Ch. 6.1 - Prob. 70E Ch. 6.2 - Prob. 1CP Ch. 6.2 - Prob. 2CP Ch. 6.2 - Prob. 3CP Ch. 6.2 - Prob. 4CP Ch. 6.2 - Prob. 1CVC Ch. 6.2 - Prob. 2CVC Ch. 6.2 - Prob. 3CVC Ch. 6.2 - Prob. 4CVC Ch. 6.2 - Prob. 5CVC Ch. 6.2 - Prob. 1E Ch. 6.2 - Prob. 2E Ch. 6.2 - Prob. 3E Ch. 6.2 - Prob. 4E Ch. 6.2 - Prob. 5E Ch. 6.2 - Prob. 6E Ch. 6.2 - Prob. 7E Ch. 6.2 - Prob. 8E Ch. 6.2 - Prob. 9E Ch. 6.2 - Prob. 10E Ch. 6.2 - Prob. 11E Ch. 6.2 - Prob. 12E Ch. 6.2 - Prob. 13E Ch. 6.2 - Prob. 14E Ch. 6.2 - Prob. 15E Ch. 6.2 - Prob. 16E Ch. 6.2 - Prob. 17E Ch. 6.2 - Prob. 18E Ch. 6.2 - Prob. 19E Ch. 6.2 - Prob. 20E Ch. 6.2 - Prob. 21E Ch. 6.2 - Prob. 22E Ch. 6.2 - Prob. 23E Ch. 6.2 - Prob. 24E Ch. 6.2 - Prob. 25E Ch. 6.2 - Prob. 26E Ch. 6.2 - Prob. 27E Ch. 6.2 - Prob. 28E Ch. 6.2 - Prob. 29E Ch. 6.2 - Prob. 30E Ch. 6.2 - Prob. 31E Ch. 6.2 - Prob. 32E Ch. 6.2 - Prob. 33E Ch. 6.2 - Prob. 34E Ch. 6.2 - Prob. 35E Ch. 6.2 - Prob. 36E Ch. 6.2 - Prob. 37E Ch. 6.2 - Prob. 38E Ch. 6.2 - Prob. 39E Ch. 6.2 - Prob. 41E Ch. 6.2 - Prob. 42E Ch. 6.2 - Prob. 43E Ch. 6.2 - Prob. 44E Ch. 6.2 - Prob. 45E Ch. 6.2 - Prob. 47E Ch. 6.2 - Prob. 48E Ch. 6.2 - Prob. 49E Ch. 6.3 - Prob. 1CP Ch. 6.3 - Prob. 2CP Ch. 6.3 - Prob. 3CP Ch. 6.3 - Prob. 4CP Ch. 6.3 - Prob. 5CP Ch. 6.3 - Prob. 6CP Ch. 6.3 - Prob. 7CP Ch. 6.3 - Prob. 8CP Ch. 6.3 - Prob. 9CP Ch. 6.3 - Prob. 1CVC Ch. 6.3 - Prob. 2CVC Ch. 6.3 - Prob. 3CVC Ch. 6.3 - Prob. 4CVC Ch. 6.3 - Prob. 5CVC Ch. 6.3 - Prob. 6CVC Ch. 6.3 - Prob. 7CVC Ch. 6.3 - Prob. 8CVC Ch. 6.3 - Prob. 9CVC Ch. 6.3 - Prob. 10CVC Ch. 6.3 - Prob. 1E Ch. 6.3 - Prob. 2E Ch. 6.3 - Prob. 3E Ch. 6.3 - Prob. 4E Ch. 6.3 - Prob. 5E Ch. 6.3 - Prob. 6E Ch. 6.3 - Prob. 7E Ch. 6.3 - Prob. 8E Ch. 6.3 - Prob. 9E Ch. 6.3 - Prob. 10E Ch. 6.3 - Prob. 11E Ch. 6.3 - Prob. 12E Ch. 6.3 - Prob. 13E Ch. 6.3 - Prob. 14E Ch. 6.3 - Prob. 15E Ch. 6.3 - Prob. 16E Ch. 6.3 - Prob. 17E Ch. 6.3 - Prob. 18E Ch. 6.3 - Prob. 19E Ch. 6.3 - Prob. 20E Ch. 6.3 - Prob. 21E Ch. 6.3 - Prob. 22E Ch. 6.3 - Prob. 23E Ch. 6.3 - Prob. 24E Ch. 6.3 - Prob. 25E Ch. 6.3 - Prob. 26E Ch. 6.3 - Prob. 27E Ch. 6.3 - Prob. 28E Ch. 6.3 - Prob. 29E Ch. 6.3 - Prob. 30E Ch. 6.3 - Prob. 31E Ch. 6.3 - Prob. 32E Ch. 6.3 - Prob. 33E Ch. 6.3 - Prob. 34E Ch. 6.3 - Prob. 35E Ch. 6.3 - Prob. 36E Ch. 6.3 - Prob. 37E Ch. 6.3 - Prob. 38E Ch. 6.3 - Prob. 39E Ch. 6.3 - Prob. 40E Ch. 6.3 - Prob. 41E Ch. 6.3 - Prob. 42E Ch. 6.3 - Prob. 43E Ch. 6.3 - Prob. 44E Ch. 6.3 - Prob. 45E Ch. 6.3 - Prob. 46E Ch. 6.3 - Prob. 47E Ch. 6.3 - Prob. 48E Ch. 6.3 - Prob. 49E Ch. 6.3 - Prob. 50E Ch. 6.3 - Prob. 51E Ch. 6.3 - Prob. 52E Ch. 6.3 - Prob. 53E Ch. 6.3 - Prob. 54E Ch. 6.3 - Prob. 55E Ch. 6.3 - Prob. 56E Ch. 6.3 - Prob. 57E Ch. 6.3 - Prob. 58E Ch. 6.3 - Prob. 59E Ch. 6.3 - Prob. 60E Ch. 6.3 - Prob. 61E Ch. 6.3 - Prob. 62E Ch. 6.3 - Prob. 63E Ch. 6.3 - Prob. 64E Ch. 6.3 - Prob. 65E Ch. 6.3 - Prob. 66E Ch. 6.3 - Prob. 67E Ch. 6.3 - Prob. 68E Ch. 6.3 - Prob. 69E Ch. 6.3 - Prob. 70E Ch. 6.3 - Prob. 71E Ch. 6.3 - Prob. 72E Ch. 6.3 - Prob. 73E Ch. 6.3 - Prob. 74E Ch. 6.3 - Prob. 75E Ch. 6.3 - Prob. 77E Ch. 6.3 - Prob. 78E Ch. 6.3 - Make Sense? In Exercises 77–80, determine whether...Ch. 6.3 - Prob. 80E Ch. 6.3 - Prob. 81E Ch. 6.3 - Prob. 82E Ch. 6.3 - Prob. 83E Ch. 6.3 - Prob. 85E Ch. 6.3 - Prob. 86E Ch. 6.3 - Prob. 87E Ch. 6.4 - Prob. 1CP Ch. 6.4 - Prob. 2CP Ch. 6.4 - Prob. 3CP Ch. 6.4 - Prob. 4CP Ch. 6.4 - Prob. 5CP Ch. 6.4 - Use the coding matrix in Example 6, , to encode...Ch. 6.4 - Prob. 7CP Ch. 6.4 - Prob. 1CVC Ch. 6.4 - Prob. 2CVC Ch. 6.4 - Prob. 3CVC Ch. 6.4 - Prob. 4CVC Ch. 6.4 - Prob. 5CVC Ch. 6.4 - Prob. 6CVC Ch. 6.4 - Prob. 7CVC Ch. 6.4 - Prob. 8CVC Ch. 6.4 - Prob. 9CVC Ch. 6.4 - Prob. 1E Ch. 6.4 - Prob. 2E Ch. 6.4 - Prob. 3E Ch. 6.4 - Prob. 4E Ch. 6.4 - Prob. 5E Ch. 6.4 - Prob. 6E Ch. 6.4 - Prob. 7E Ch. 6.4 - Prob. 8E Ch. 6.4 - Prob. 9E Ch. 6.4 - Prob. 10E Ch. 6.4 - Prob. 11E Ch. 6.4 - Prob. 12E Ch. 6.4 - Prob. 13E Ch. 6.4 - Prob. 14E Ch. 6.4 - Prob. 15E Ch. 6.4 - Prob. 16E Ch. 6.4 - Prob. 17E Ch. 6.4 - Prob. 18E Ch. 6.4 - Prob. 19E Ch. 6.4 - Prob. 20E Ch. 6.4 - Prob. 21E Ch. 6.4 - Prob. 22E Ch. 6.4 - Prob. 23E Ch. 6.4 - 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