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To find:
1. The centre and radius of the circle
2. The graph of the circle
3. Intercepts of the circle, if any
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Answer to Problem 33AYU
Explanation of Solution
Given:
Equation of the circle
Calculation:-
Add 12 to both sides
Complete the square of each expression in parenthesis
Compare this equation with the equation .
The comparison yields the information about the circle. We see that and .
The circle has centre and a radius 5 units. To graph the circle, first plot the centre . Since the radius is 5 units, locate four points on the circle by plotting 5 units to the left, to the right, up and down from the centre. These four points can be used to sketch the graph.
To find the , if any, let and solve for .
Subtract 4 from both sides
are and .
To find , if any, let and solve for .
Subtract 9 from both sides
Subtract 2 from both sides
are 2 and .
Chapter 1 Solutions
Precalculus Enhanced with Graphing Utilities
Additional Math Textbook Solutions
Calculus: Early Transcendentals (3rd Edition)
Glencoe Math Accelerated, Student Edition
Calculus: Early Transcendentals (2nd Edition)
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