4. Mastery: The figure to the right shows the boundary temperatures (in degrees Celsius) of an insulated thin metal plate. The temperature at an interior junction is approximately equal to the average (mean) of the temperatures at the four surrounding junctions. 50 25 a) Write a system of linear equations representing the temperatures of each of the interior junctions. b) Solve the system of equations found in a) to approximate the interior temperatures T1, T2, T3, and T4. (Write your solutions here - attach work)

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.1: The Graphing Method
Problem 2CE
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4. Mastery: The figure to the right shows
the boundary temperatures (in degrees
Celsius) of an insulated thin metal plate.
The temperature at an interior junction
is approximately equal to the average
(mean) of the temperatures at the four
surrounding junctions.
50
0°
a) Write a system of linear equations representing the temperatures of each
of the interior junctions.
b) Solve the system of equations found in a) to approximate the interior
temperatures T1, T2, T3, and T4. (Write your solutions here - attach
work)
Transcribed Image Text:4. Mastery: The figure to the right shows the boundary temperatures (in degrees Celsius) of an insulated thin metal plate. The temperature at an interior junction is approximately equal to the average (mean) of the temperatures at the four surrounding junctions. 50 0° a) Write a system of linear equations representing the temperatures of each of the interior junctions. b) Solve the system of equations found in a) to approximate the interior temperatures T1, T2, T3, and T4. (Write your solutions here - attach work)
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