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Chapter 11: Q. 70 (page 773)

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

y=4x+2and the circlex2+4x+y2-4=0.

Short Answer

Expert verified

The graph of the line y=4x+2and the circle x2+4x+y2-4=0is,

From the graph, the intersecting points are,-4,-2,0,2.

Step by step solution

01

Step 1. Given information

y=4x+2x2+4x+y2-4=0

First solve the equation for y.

Consider the first equation,

localid="1646934812248" y=4x+2

Consider the second equation,

localid="1646931669670" x2+4x+y2-4=0y2=-x2-4x+4y=卤-x2-4x+4

02

Step 2 Now sketch a graph by using the obtained equations.

In the graph, the two equations are intersecting at two points. They are,-4,-2,0,2.

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Most popular questions from this chapter

Verify that the values of the variables listed are solutions of the system of equations.

3x+3y+2z=4x-3y+z=105x-2y-3z=8x=2,y=-2,z=2;2,-2,2

Solve the equation:

3x+4=8-x

solve each system of equations. If the system has no solution, say that it is inconsistent

x + 4y - 3z = -8

3x - y + 3z = 12

x + y + 6z = 1

Fencing: A farmer has 300 feet of fence available to enclose a 4500-square-foot region in the shape of adjoining squares, with sides of length x and y. See the figure. Findx and y.

Graph each inequality by hand.

y鈮�x2-1
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