Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
1st Edition
ISBN: 9780078682278
Author: McGraw-Hill, Berchie Holliday
Publisher: Glencoe/McGraw-Hill
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Question
Chapter 10.2, Problem 44E
To determine
To write: The equation of circle of the given details.
Expert Solution & Answer
Answer to Problem 44E
Explanation of Solution
Given information: Geometry: A circle that circumscribes the triangle whose sides are the graphs of
Calculation:
If you graph the lines, you need to find the points of intersection. This is the first step.
You can solve them with the calculator, substitution or elimination. This gives you 3 points that the circle passes through.
From here this problem is similar to problems solved earlier.
Points
Plug in the 3 points to create 3 equations which we can use to solve the system to find all of the missing values.
Remember the form:
Set 1st 2 equations equal to each other: because they both equal
Set the 1st and 3rd equations equal: because they also both equal
Set the 2 equations for h equal to find k .
Plug these values for h and k into any of the equations to find r .
Final equation is:
Chapter 10 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Ch. 10.1 - Prob. 1CFUCh. 10.1 - Prob. 2CFUCh. 10.1 - Prob. 3CFUCh. 10.1 - Prob. 4CFUCh. 10.1 - Prob. 5CFUCh. 10.1 - Prob. 6CFUCh. 10.1 - Prob. 7CFUCh. 10.1 - Prob. 8CFUCh. 10.1 - Prob. 9CFUCh. 10.1 - Prob. 10CFU
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