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10th Edition

Jerome E. Kaufmann + 1 other

Publisher: Cengage Learning

ISBN: 9781285195728

Chapter 8.4, Problem 1PS

Textbook Problem

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For Problems

**1. **

To determine

**To find:**

The intercepts and the equations of the asymptotes for the given hyperbola.

**Given:**

The given equation for hyperbola is,

**Method:**

The general equation of hyperbola,

Here,

To find the

Substitute

To find

Substitute

To find the equation for the asymptotes replace the constant term of

**Calculation:**

Consider the hyperbola equation,

Compare above equation with general equation

Substitute

Thus the *x*- intercepts of the hyperbola are

Intermediate Algebra

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Ch. 8.1 - For Problems 130, graph each parabola. Objective 1...Ch. 8.1 - For Problems 130, graph each parabola. Objective 1...Ch. 8.1 - For Problems 130, graph each parabola. Objective 1...Ch. 8.1 - For Problems 130, graph each parabola. Objective 1...Ch. 8.1 - For Problems 130, graph each parabola. Objective 1...Ch. 8.1 - For Problems 130, graph each parabola. Objective 1...Ch. 8.1 - For Problems 130, graph each parabola. Objective 1...Ch. 8.1 - For Problems 130, graph each parabola. Objective 1...Ch. 8.1 - For Problems 130, graph each parabola. Objective 1...Ch. 8.1 - For Problems 130, graph each parabola. Objective 1...Ch. 8.1 - For Problems 130, graph each parabola. Objective 1...Ch. 8.1 - For Problems 130, graph each parabola. Objective 1...Ch. 8.1 - For Problems 130, graph each parabola. Objective 1...Ch. 8.1 - For Problems 130, graph each parabola. Objective 1...Ch. 8.1 - For Problems 130, graph each parabola. Objective 1...Ch. 8.1 - For Problems 130, graph each parabola. Objective 1...Ch. 8.1 - For Problems 130, graph each parabola. Objective 1...Ch. 8.1 - For Problems 130, graph each parabola. Objective 1...Ch. 8.1 - For Problems 130, graph each parabola. Objective 1...Ch. 8.1 - For Problems 130, graph each parabola. Objective 1...Ch. 8.1 - For Problems 130, graph each parabola. Objective 1...Ch. 8.1 - For Problems 130, graph each parabola. Objective 1...Ch. 8.1 - For Problems 130, graph each parabola. Objective 1...Ch. 8.1 - For Problems 130, graph each parabola. Objective 1...Ch. 8.1 - For Problems 130, graph each parabola. Objective 1...Ch. 8.1 - For Problems 130, graph each parabola. Objective 1...Ch. 8.1 - For Problems 130, graph each parabola. Objective 1...Ch. 8.1 - For Problems 130, graph each parabola. Objective 1...Ch. 8.1 - For Problems 130, graph each parabola. Objective 1...Ch. 8.1 - For Problems 130, graph each parabola. 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The graph...Ch. 8.2 - For Problems 110, answer true or false. The only x...Ch. 8.2 - For Problems 110, answer true or false. The origin...Ch. 8.2 - For Problems 110, answer true or false. The vertex...Ch. 8.2 - For Problems 122, graph each parabola. Objective 1...Ch. 8.2 - For Problems 122, graph each parabola. Objective 1...Ch. 8.2 - For Problems 122, graph each parabola. Objective 1...Ch. 8.2 - For Problems 122, graph each parabola. Objective 1...Ch. 8.2 - For Problems 122, graph each parabola. Objective 1...Ch. 8.2 - For Problems 122, graph each parabola. Objective 1...Ch. 8.2 - For Problems 122, graph each parabola. Objective 1...Ch. 8.2 - For Problems 122, graph each parabola. Objective 1...Ch. 8.2 - For Problems 122, graph each parabola. Objective 1...Ch. 8.2 - For Problems 122, graph each parabola. Objective 1...Ch. 8.2 - For Problems 122, graph each parabola. Objective 1...Ch. 8.2 - For Problems 122, graph each parabola. Objective 1...Ch. 8.2 - For Problems 122, graph each parabola. Objective 1...Ch. 8.2 - For Problems 122, graph each parabola. Objective 1...Ch. 8.2 - For Problems 122, graph each parabola. Objective 1...Ch. 8.2 - For Problems 122, graph each parabola. Objective 1...Ch. 8.2 - For Problems 122, graph each parabola. Objective 1...Ch. 8.2 - For Problems 122, graph each parabola. Objective 1...Ch. 8.2 - For Problems 122, graph each parabola. Objective 1...Ch. 8.2 - For Problems 122, graph each parabola. Objective 1...Ch. 8.2 - For Problems 122, graph each parabola. Objective 1...Ch. 8.2 - For Problems 122, graph each parabola. Objective 1...Ch. 8.2 - For Problems 2334, find the centre and the length...Ch. 8.2 - For Problems 2334, find the center and the length...Ch. 8.2 - For Problems 2334, find the center and the length...Ch. 8.2 - For Problems 2334, find the center and the length...Ch. 8.2 - For Problems 2334, find the center and the length...Ch. 8.2 - For Problems 2334, find the center and the length...Ch. 8.2 - For Problems 2334, find the center and the length...Ch. 8.2 - For Problems 2334, find the center and the length...Ch. 8.2 - For Problems 2334, find the center and the length...Ch. 8.2 - For Problems 2334, find the center and the length...Ch. 8.2 - For Problems 2334, find the centre and the length...Ch. 8.2 - For Problems 2334, find the center and the length...Ch. 8.2 - For Problems 3544, graph each circle. Objective 3...Ch. 8.2 - For Problems 3544, graph each circle. Objective 3...Ch. 8.2 - For Problems 3544, graph each circle. Objective 3...Ch. 8.2 - For Problems 3544, graph each circle. Objective 3...Ch. 8.2 - For Problems 3544, graph each circle. Objective 3...Ch. 8.2 - For Problems 3544, graph each circle. Objective 3...Ch. 8.2 - For Problems 3544, graph each circle. Objective 3...Ch. 8.2 - For Problems 3544, graph each circle. Objective 3...Ch. 8.2 - For Problems 3544, graph each circle. Objective 3...Ch. 8.2 - For Problems 3544, graph each circle. Objective 3...Ch. 8.2 - For Problems 4554, write the equation of each...Ch. 8.2 - For Problems 4554, write the equation of each...Ch. 8.2 - For Problems 4554, write the equation of each...Ch. 8.2 - For Problems 4554, write the equation of each...Ch. 8.2 - For Problems 4554, write the equation of each...Ch. 8.2 - For Problems 4554, write the equation of each...Ch. 8.2 - For Problems 4554, write the equation of each...Ch. 8.2 - For Problems 4554, write the equation of each...Ch. 8.2 - For Problems 4554, write the equation of each...Ch. 8.2 - For Problems 4554, write the equation of each...Ch. 8.2 - Find the equation of the circle that passes...Ch. 8.2 - Find the equation of the circle that passes...Ch. 8.2 - Find the equation of the circle that passes...Ch. 8.2 - Find the equation of the circle that passes...Ch. 8.2 - What is the graph of x2+y2=4? 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Objectives 1...Ch. 8.3 - For Problems 124, graph each ellipse. Objectives 1...Ch. 8.3 - For Problems 124, graph each ellipse. Objectives 1...Ch. 8.3 - For Problems 124, graph each ellipse. Objectives 1...Ch. 8.3 - For Problems 124, graph each ellipse. Objectives 1...Ch. 8.3 - For Problems 124, graph each ellipse. Objectives 1...Ch. 8.3 - For Problems 124, graph each ellipse. Objectives 1...Ch. 8.3 - For Problems 124, graph each ellipse. Objectives 1...Ch. 8.3 - For Problems 124, graph each ellipse. Objectives 1...Ch. 8.3 - Is the graph of x2+y2=4 the same as the graph of...Ch. 8.3 - Is the graph of x2+y2=0 a circle ? If so, what is...Ch. 8.3 - Is the graph of 4x2+9y2=36 the same as the graph...Ch. 8.3 - What is the graph of x2+2y2=16? Explain your...Ch. 8.3 - Use a graphing calculator to graph the ellipses in...Ch. 8.3 - Use a graphing calculator to check your graphs for...Ch. 8.4 - For Problems 110, answer true or false. The graph...Ch. 8.4 - For Problems 110, answer true or false. The graph...Ch. 8.4 - For Problems 110, answer true or false. Each...Ch. 8.4 - For Problems 110, answer true or false. To find...Ch. 8.4 - For Problem 110, answer true or false. The...Ch. 8.4 - For Problems 110, answer true or false. The...Ch. 8.4 - For Problem 110, answer true or false. The...Ch. 8.4 - For Problems 110, answer true or false. The center...Ch. 8.4 - For Problems 110, answer true or false. The...Ch. 8.4 - For Problem 110, answer true or false. The center...Ch. 8.4 - For Problems 16, find the intercepts and the...Ch. 8.4 - For Problems 16, find the intercepts and the...Ch. 8.4 - For Problems 16, find the intercepts and the...Ch. 8.4 - For Problems 16, find the intercepts and the...Ch. 8.4 - For Problems 16, find the intercepts and the...Ch. 8.4 - For Problems 16, find the intercepts and the...Ch. 8.4 - For Problems 718, graph each hyperbola. Objective...Ch. 8.4 - For Problems 718, graph each hyperbola. Objective...Ch. 8.4 - For Problems 718, graph each hyperbola. Objective...Ch. 8.4 - For Problems 718, graph each hyperbola. Objective...Ch. 8.4 - For Problems 718, graph each hyperbola. Objective...Ch. 8.4 - For Problems 718, graph each hyperbola. Objective...Ch. 8.4 - For Problems 718, graph each hyperbola. Objective...Ch. 8.4 - For Problems 718, graph each hyperbola. Objective...Ch. 8.4 - For Problems 718, graph each hyperbola. Objective...Ch. 8.4 - For Problems 718, graph each hyperbola. Objective...Ch. 8.4 - For Problems 718, graph each hyperbola. Objective...Ch. 8.4 - For Problem 718, graph each hyperbola. Objective 1...Ch. 8.4 - For Problems 922, find the equation for the...Ch. 8.4 - For Problems 1922, find the equation for the...Ch. 8.4 - For Problems 1922, find the equation for the...Ch. 8.4 - For Problems 1922, find the equation for the...Ch. 8.4 - For Problems 2332, graph each hyperbola.Objective...Ch. 8.4 - For Problem 2332, graph each hyperbola. Objective...Ch. 8.4 - For Problem 2332, graph each hyperbola. Objective...Ch. 8.4 - For Problem 2332, graph each hyperbola. Objective...Ch. 8.4 - For Problem 2332, graph each hyperbola. Objective...Ch. 8.4 - For Problem 2332, graph each hyperbola. Objective...Ch. 8.4 - For Problem 2332, graph each hyperbola. Objective...Ch. 8.4 - For Problem 2332, graph each hyperbola. Objective...Ch. 8.4 - For Problem 2332, graph each hyperbola. Objective...Ch. 8.4 - For Problem 2332, graph each hyperbola. Objective...Ch. 8.4 - The graph of equations of the form xy=k, where k...Ch. 8.4 - What is the graph of xy=0? Defend your answer.Ch. 8.4 - We have graphed various equations of the form...Ch. 8.4 - Explain the concept of an asymptote.Ch. 8.4 - Explain how asymptotes can be used to help graph...Ch. 8.4 - Are the graphs of x2y2=0 and y2x2=0 identical? Are...Ch. 8.4 - Graphing Calculator Activities To graph the...Ch. 8.4 - Graphing Calculator Activities For each of the...Ch. 8.S - Graph y=(x1)23.Ch. 8.S - Graph y=x26x11.Ch. 8.S - Write the equation of a circle that has its center...Ch. 8.S - Graph x24x+y2+6y+4=0.Ch. 8.S - Graph x2+25y2=25.Ch. 8.S - Graph 9x218x+y22y26=0.Ch. 8.S - Graph x24y2=4.Ch. 8.S - Graph 9x2+36x4y240y100=0.Ch. 8.CR - For Problems 18, find the vertex of each parabola....Ch. 8.CR - For Problems 18, find the vertex of each parabola....Ch. 8.CR - For Problems 18, find the vertex of each parabola....Ch. 8.CR - For Problems 18, find the vertex of each parabola....Ch. 8.CR - For Problems 18, find the vertex of each parabola....Ch. 8.CR - For Problems 18, find the vertex of each parabola....Ch. 8.CR - For Problems 18, find the vertex of each parabola....Ch. 8.CR - For Problems 18, find the vertex of each parabola....Ch. 8.CR - For Problems 912, write the equation of the circle...Ch. 8.CR - For Problems 912, write the equation of the circle...Ch. 8.CR - For Problems 912, write the equation of the circle...Ch. 8.CR - For Problems 912, write the equation of the circle...Ch. 8.CR - For Problems 1316, find the center and the length...Ch. 8.CR - For Problems 1316, find the center and the length...Ch. 8.CR - For Problems 1316, find the center and the length...Ch. 8.CR - For Problems 1316, find the center and the length...Ch. 8.CR - For Problems 1724, find the length of the major...Ch. 8.CR - For Problems 1724, find the length of the major...Ch. 8.CR - For Problems 1724, find the length of the major...Ch. 8.CR - For Problems 1724, find the length of the major...Ch. 8.CR - For Problems 1724, find the length of the major...Ch. 8.CR - For Problems 1724, find the length of the major...Ch. 8.CR - For Problems 1724, find the length of the major...Ch. 8.CR - For Problems 1724, find the length of the major...Ch. 8.CR - For Problems 2530, find the equations of the...Ch. 8.CR - For Problems 2530, find the equations of the...Ch. 8.CR - For Problems 2530, find the equations of the...Ch. 8.CR - For Problems 2530, find the equations of the...Ch. 8.CR - For Problems 2530, find the equations of the...Ch. 8.CR - For Problems 2530, find the equations of the...Ch. 8.CR - For Problems 3150, graph each equation. 9x2+y2=81Ch. 8.CR - For Problems 3150, graph each equation. 9x2y2=81Ch. 8.CR - For Problems 3150, graph each equation. y=2x2+3Ch. 8.CR - For Problems 3150, graph each equation....Ch. 8.CR - For Problems 3150, graph each equation....Ch. 8.CR - For Problems 3150, graph each equation....Ch. 8.CR - For Problems 3150, graph each equation....Ch. 8.CR - For Problems 3150, graph each equation. y=2x24x3Ch. 8.CR - For Problems 3150, graph each equation. x2y2=9Ch. 8.CR - For Problems 3150, graph each equation....Ch. 8.CR - For Problems 3150, graph each equation....Ch. 8.CR - For Problems 3150, graph each equation....Ch. 8.CR - For Problems 3150, graph each equation....Ch. 8.CR - For Problems 3150, graph each equation. x2+y22y8=0Ch. 8.CR - For Problems 3150, graph each equation. y=(x+1)2+5Ch. 8.CR - For Problems 3150, graph each equation. y=12(x3)24Ch. 8.CR - For Problems 3150, graph each equation....Ch. 8.CR - For Problems 3150, graph each equation. x2+4y2=4Ch. 8.CR - For Problems 3150, graph each equation....Ch. 8.CR - For Problems 3150, graph each equation....Ch. 8.CT - For Problems 14, find the vertex of each parabola....Ch. 8.CT - For Problems 14, find the vertex of each parabola....Ch. 8.CT - For Problems 14, find the vertex of each parabola....Ch. 8.CT - For Problems 14, find the vertex of each parabola....Ch. 8.CT - For Problems 57, write the equation of the circle...Ch. 8.CT - For Problems 57, write the equation of the circle...Ch. 8.CT - For Problems 57, write the equation of the circle...Ch. 8.CT - Find the length of minor axis of the ellipse...Ch. 8.CT - Find the length of major axis of the ellipse...Ch. 8.CT - Find the length of minor axis of the ellipse...Ch. 8.CT - For Problems 1517, find the equation of the...Ch. 8.CT - For Problems 1517, find the equation of the...Ch. 8.CT - For Problems 1517, find the equation of the...Ch. 8.CT - For Problems 1825, graph each equation. x24y2=16Ch. 8.CT - For Problem 1825 graph each equation. y=x2+4xCh. 8.CT - For Problems 1825, graph each equation....Ch. 8.CT - For Problems 1825 graph each equation. 2x2+3y2=12Ch. 8.CT - For Problem 1825 graph each equation. y=2x2+12x+22Ch. 8.CT - For Problems 1825, graph each equation. 9x2y2=9Ch. 8.CT - For Problems 1825, graph each equation....Ch. 8.CT - For Problems 1825, graph each equation....Ch. 8.CM - For Problems 14, evaluate each algebraic...Ch. 8.CM - For Problems 14, evaluate each algebraic...Ch. 8.CM - For Problems 14, evaluate each algebraic...Ch. 8.CM - For Problems 14, evaluate each algebraic...Ch. 8.CM - For Problems 516, perform the indicated operations...Ch. 8.CM - For Problems 516, perform the indicated operations...Ch. 8.CM - For Problems 516, perform the indicated operations...Ch. 8.CM - For Problems 516, perform the indicated operations...Ch. 8.CM - For Problems 516, perform the indicated operations...Ch. 8.CM - For Problems 516, perform the indicated operations...Ch. 8.CM - For Problems 516, perform the indicated operations...Ch. 8.CM - For Problems 516, perform the indicated operations...Ch. 8.CM - For Problems 516, perform the indicated operations...Ch. 8.CM - For Problems 516, perform the indicated operations...Ch. 8.CM - For Problems 516, perform the indicated operations...Ch. 8.CM - For Problems 516, perform the indicated operations...Ch. 8.CM - For Problems 1724, evaluate each of the numerical...Ch. 8.CM - For Problems 1724, evaluate each of the numerical...Ch. 8.CM - For Problems 1724, evaluate each of the numerical...Ch. 8.CM - For Problems 1724, evaluate each of the numerical...Ch. 8.CM - For Problems 1724, evaluate each of the numerical...Ch. 8.CM - For Problems 1724, evaluate each of the numerical...Ch. 8.CM - For Problems 1724, evaluate each of the numerical...Ch. 8.CM - For Problems 1724, evaluate each of the numerical...Ch. 8.CM - For Problems 2530, factor each of the algebraic...Ch. 8.CM - For Problems 2530, factor each of the algebraic...Ch. 8.CM - For Problems 2530, factor each of the algebraic...Ch. 8.CM - For Problems 2530, factor each of the algebraic...Ch. 8.CM - For Problems 2530, factor each of the algebraic...Ch. 8.CM - For Problems 2530, factor each of the algebraic...Ch. 8.CM - For Problems 3154, solve each of the equations....Ch. 8.CM - For Problems 3154, solve each of the equations....Ch. 8.CM - For Problems 3154, solve each of the equations....Ch. 8.CM - For Problems 3154, solve each of the equations....Ch. 8.CM - For Problems 3154, solve each of the equations....Ch. 8.CM - For Problems 3154, solve each of the equations....Ch. 8.CM - For Problems 3154, solve each of the equations....Ch. 8.CM - For Problems 3154, solve each of the equations....Ch. 8.CM - For Problems 3154, solve each of the equations....Ch. 8.CM - For Problems 3154, solve each of the equations....Ch. 8.CM - For Problems 3154, solve of the equations....Ch. 8.CM - For Problems 3154, solve of the equations....Ch. 8.CM - For Problems 3154, solve of the equations....Ch. 8.CM - For Problems 3154, solve of the equations....Ch. 8.CM - For Problems 31-54, solve each of the equations....Ch. 8.CM - For Problems 31-54, solve each of the equations....Ch. 8.CM - For Problems 31-54, solve each of the equations....Ch. 8.CM - For Problems 3154, solve of the equations....Ch. 8.CM - For Problems 3154, solve of the equations....Ch. 8.CM - For Problems 3154, solve of the equations....Ch. 8.CM - For Problems 3154, solve of the equations....Ch. 8.CM - For Problems 3154, solve each of the equations....Ch. 8.CM - For Problems 3154, solve each of the equations....Ch. 8.CM - For Problems 3154, solve each of the equations....Ch. 8.CM - For Problems 5564, solve inequality and express...Ch. 8.CM - For Problems 5564, solve inequality and express...Ch. 8.CM - For Problems 5564, solve inequality and express...Ch. 8.CM - For Problem 5564, solve inequality and express the...Ch. 8.CM - For Problems 5564, solve inequality and express...Ch. 8.CM - For Problems 5564, solve inequality and express...Ch. 8.CM - For Problems 5564, solve inequality and express...Ch. 8.CM - For Problem 5564, solve inequality and express the...Ch. 8.CM - For problem 55-64, solve each inequality and...Ch. 8.CM - For problem 55-64, solve each inequality and...Ch. 8.CM - For Problems 65-70, graph the following equations....Ch. 8.CM - For Problems 65-70, graph the following equations....Ch. 8.CM - For Problems 65-70, graph the following equations....Ch. 8.CM - For Problems 65-70, graph the following equations....Ch. 8.CM - For Problems 65-70, graph the following equations....Ch. 8.CM - For Problems 65-70, graph the following equations....Ch. 8.CM - For Problems 71 and 72, find the distance between...Ch. 8.CM - For Problems 71 and 72, find the distance between...Ch. 8.CM - For Problems 73-76, write the equation of a line...Ch. 8.CM - For Problems 73-76, write the equation of a line...Ch. 8.CM - For Problems 73-76, write the equation of a line...Ch. 8.CM - For Problem 73-76, write the equation of a line...Ch. 8.CM - Find the center and the length of a radius of the...Ch. 8.CM - Find the coordinates of the vertex of the...Ch. 8.CM - Find the equations of the asymptotes for the...Ch. 8.CM - Graph the ellipse 25x2+4y2=100Ch. 8.CM - Graph the hyperbola 9x24y2=36Ch. 8.CM - Graph the parabola y=2(x1)2+4Ch. 8.CM - For Problems 83-88, solve each problem by setting...Ch. 8.CM - For Problems 83-88, solve each problem by setting...Ch. 8.CM - For Problems 83-88, solve each problem by setting...Ch. 8.CM - For Problems 83-88, solve each problem by setting...Ch. 8.CM - For Problems 83-88, solve each problem by setting...Ch. 8.CM - For Problems 83-88, solve each problem by setting...

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