a.
Find the equations of the
Lajitas equation form
Mexico City equation form
La Paz equation form
Given:
Relative position of the seismic stations are described below.
Mexico city
La paz
Calculation:
The goal of this task is to write an equation for each circle. In order to do so going to use the formula for a circle with a center at
First, will write an equation for Lajitas Since it is located at origin
After that equation for Mexico City.
Since it is
Lastly, let's write an equation for La Paz.
Since it is
Conclusion:
Lajitas equation form
Mexico City equation form
La Paz equation form
b.
New Equations for lajitas
The New equations are
and
Given:
Relative position of the seismic stations are described below.
Mexico city
La paz
Calculation:
The circles for Lajitas, La Paz, and Mexico City.
Multiply out the 2nd and 3rd equations, then
Conclusion:
The New equations are
c.
Co ordinates of the epicenter for solving system of linier equations.
Now since each unit is
Given:
Relative position of the seismic stations are described below.
Mexico city
La paz
Calculation:
In order to find the epicenter, need to solve the system of two linear equations. are given equations.
From second equation can express
Now substitute the value of
Now substitute
Now since each unit is
Conclusion:
Now since each unit is
Chapter 8 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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