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Chapter 10: Q47. (page 677)

In Problems 43鈥�52, identify the graph of each equation without applying a rotation of axes.

9x2+12xy+4y2-x-y=0

Short Answer

Expert verified

The equation defines parabola.

Step by step solution

01

Step 1. Given Information

The given equation is 9x2+12xy+4y2-x-y=0

HereA=9,B=12,C=4

02

Step 2. Identifying Conic

B2-4AC=122-494B2-4AC=144-144=0

The equation defines parabola.

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Most popular questions from this chapter

The graph of a parabola is given. Match graph to its equation.

and equations are,

A)y2=4xC)y2=-4xE)(y-1)2=4(x-1)G)(y-1)2=-4(x-1)B)x2=4yD)x2=-4yF)(x+1)2=4(y+1)H)(x+1)2=4(y+1)

In Problems 43鈥�52, identify the graph of each equation without applying a rotation of axes.

3x2-2xy+y2+4x+2y-1=0

In Problems 15鈥�18, the graph of a hyperbola is given. Match each graph to its equation.

Equations: Ax24-y2=1Bx2-y24=1Cy24-x2=1Dy2-x24=1

Graph:

Whispering Gallery: A hall 100feet in length is to be designed as a whispering gallery. If the foci are located 25feet from the center, how high will the ceiling be at the center?

In Problem, identify the graph of each equation without completing the squares.

2x2+y2-8x+4y+2=0
See all solutions

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