Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015
1st Edition
ISBN: 9781680331165
Author: HOUGHTON MIFFLIN HARCOURT
Publisher: Houghton Mifflin Harcourt
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Question
Chapter 3.5, Problem 50E
To determine
To calculate: The length of the highway for which the cars are ale to receive the broadcast signal.
Expert Solution & Answer
Answer to Problem 50E
The required length of the highway is 56.9 miles.
Explanation of Solution
Given information:
The equation of the range of broadcast signal from a radio tower bounded by a
The model equation of the straight highway:
Formula used:
Distance formula:
The distance between two points
Calculation:
The given equation of the range of broadcast signal from a radio tower bounded by a circle is
To find the length of the highway, solve the given equations using graph.
The graph of the given equations is shown below:
From the graph, it is seen that the two equations intersect each other at the points
To find the required length of the highway, use the distance formula
Substitute
Hence, the required length of the highway is 56.9 miles.
Chapter 3 Solutions
Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015
Ch. 3.1 - Prob. 1ECh. 3.1 - Prob. 2ECh. 3.1 - Prob. 3ECh. 3.1 - Prob. 4ECh. 3.1 - Prob. 5ECh. 3.1 - Prob. 6ECh. 3.1 - Prob. 7ECh. 3.1 - Prob. 8ECh. 3.1 - Prob. 9ECh. 3.1 - Prob. 10E
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