a. Explanation Result used: “The standard form of an equation of a circle with radius r and center ( h , k ) is ( x − h ) 2 + ( y − k ) 2 = r 2 ”. Completing the square x 2 + b x : “Identify the coefficient of the first-degree term. Multiply this coefficient by 1 2 and then square the result. That is, determine the value of b in x 2 + b x and compute ( 1 2 b ) 2 ”. Calculation: The given equation of a circle is, x 2 + y 2 + 4 x − 4 y − 1 = 0 . Group x terms and the y terms and separate the constant on the right hand side. ( x 2 + 4 x ) + ( y 2 − 4 y ) = 1 Complete the square of each expression in parentheses by the result stated above b. To determine To graph: The circle given by x 2 + y 2 + 4 x − 4 y − 1 = 0 . c. To determine The intercepts of the circle x 2 + y 2 + 4 x − 4 y − 1 = 0 .

College Algebra: Concepts Through Functions (4th Edition)

4th Edition

ISBN: 9780134686967

Author: Michael Sullivan, Michael Sullivan III

Publisher: PEARSON

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Chapter F.4, Problem 29AYU

To determine

The center (h,k) and radius r of the circle x2+y2+4x−4y−1=0.

To determine

To graph: The circle given by x2+y2+4x−4y−1=0.

To determine

The intercepts of the circle x2+y2+4x−4y−1=0.

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Chapter F.4, Problem 28AYU

Chapter F.4, Problem 30AYU

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Chapter F Solutions

College Algebra: Concepts Through Functions (4th Edition)

Ch. F.1 - Prob. 1AYU Ch. F.1 - If −3 and 5 are the coordinates of two points on...Ch. F.1 - If 3 and 4 are the legs of a right triangle, the...Ch. F.1 - Use the converse of the Pythagorean Theorem to...Ch. F.1 - The area A of a triangle whose base is b and whose...Ch. F.1 - True or False Two triangles are congruent if two...Ch. F.1 - Prob. 7AYU Ch. F.1 - The coordinate axes divide the xy-plane into four...Ch. F.1 - If three distinct points P, Q, and R all lie on a...Ch. F.1 - True or False The distance between two points is...

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The center ( h , k ) and radius r of the circle x 2 + y 2 + 4 x − 4 y − 1 = 0 .

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The center (h,k) and radius r of the circle x2+y2+4x−4y−1=0.

To graph: The circle given by x2+y2+4x−4y−1=0.

The intercepts of the circle x2+y2+4x−4y−1=0.

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Chapter F Solutions