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Chapter 11: Q. 66 (page 773)

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

The linex+2y+6=0and the circlex+12+y+12=5.

Short Answer

Expert verified

The graph of the linex+2y+6=0 and the circlex+12+y+12=5 is,

From the graph, the two equations are intersecting at two points. They are,-165,-75,0,-3.

Step by step solution

01

Step 1. Given information

x+2y+6=0x+12+y+12=5

First solve each equation for y.

Consider the first equation,

x+2y+6=02y=-x-62y=-x+6y=-(x+6)2

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.

From the graph, the two equations are intersecting at the two points.

They are,-165,-75,0,-3.

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