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Chapter 11: Q. 197 (page 1147)

In the following exercises, solve the system of equations by using graphing.

y=-1(x-2)2+(y-4)2=25

Short Answer

Expert verified

The solution of the system is(2,-1).

Step by step solution

01

Step 1. Given Information

The given system of equations isy=-1(x-2)2+(y-4)2=25.

02

Step 2. Graph the Functions

  • Plot the graph of both the given equations on the same graph.

  • The blue line represents the first equation and the red curve represents the second equation of the system.
03

Step 3. Determine the point of intersection

  • From the graph, it is observed that the point of intersection of both equations is(2,-1)
  • So, the solution of the system is (2,-1).

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