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Chapter 11: Q. 65 (page 773)

In Problems 65-70, graph each equation and find the point(s) of intersection, if any.

The line x+2y=0and the circlex-12+y-12=5.

Short Answer

Expert verified

The graph of the linex+2y=0 and the circlex-12+y-12=5 is,

From the graph, the two equations are intersecting at two points. They are,-65,35,2,-1.

Step by step solution

01

Step 1. Given information

x+2y=0x-12+y-12=5

First solve each equation for y.

Consider the first equation,

x+2y=02y=-xy=-x2

Consider the second equation,

x-12+y-12=5y-12=5-x-12y-1=卤5-x-12y=卤5-x-12+1

02

Step 2. Now sketch a graph for the obtained equations.

In the graph, the two equations are intersecting at two points. They are,-65,35,2,-1.

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