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AlgebraIntermediate Algebra10th Edition
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For Problems 6 − 25 , determine the type(s) of symmetry (symmetry with respect to x axis, y axis, and/or origin) exhibited by the graph of each of the following equations. Do not sketch the graph. (Objective 2) 2 x 2 + 3 y 2 = 9

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Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
Publisher: Cengage Learning
ISBN: 9781285195728

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Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
Publisher: Cengage Learning
ISBN: 9781285195728
Chapter 7.5, Problem 12PS
Textbook Problem
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For Problems 6 − 25 , determine the type(s) of symmetry (symmetry with respect to x axis, y axis, and/or origin) exhibited by the graph of each of the following equations. Do not sketch the graph. (Objective 2)

2 x 2 + 3 y 2 = 9

To determine

The types of symmetry of graph of given equation with respect to the x axis, y axis, and origin.

Explanation of Solution

1. The graph of given equation is symmetric with respect to the x axis if y is replaced with −y and the equation obtained is equivalent to given equation.

2. The graph of given equation is symmetric with respect to the y axis if x is replaced with −x and the equation obtained is equivalent to given equation.

3. The graph of given equation is symmetric with respect to the origin if x is replaced with −x and y is replaced with −y the equation obtained is equivalent to given equation.

Given:

The given equation is,

2x2+3y2=9

Calculation:

The given equation is,

2x2+3y2=9…(1)

Substitute −y for y in equation (1).

2x2+3(−y)2=92x2+3y2=9

The above equation is equivalent to given equation. So, the graph of given equation is symmetric with respect to x axis

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The...Ch. 7.5 - For Problems 110, answer true or false. If a graph...Ch. 7.5 - For Problems 110, answer true or false. When...Ch. 7.5 - For Problems 110, answer true or false. If a...Ch. 7.5 - For Problems 110, answer true or false. If the...Ch. 7.5 - For Problems 110, answer true or false. If the...Ch. 7.5 - For Problems 110, answer true or false. If for...Ch. 7.5 - For Problems 110, answer true or false. The graph...Ch. 7.5 - For Problems 110, answer true or false. The graph...Ch. 7.5 - For Problems 110, answer true or false. Every...Ch. 7.5 - For each of the points in Problems 15, determine...Ch. 7.5 - For each of the points in Problems 15, determine...Ch. 7.5 - For each of the points in Problems 15, determine...Ch. 7.5 - For each of the points in Problems 15, determine...Ch. 7.5 - For each of the points in Problems 15, determine...Ch. 7.5 - For Problems 625, determine the types of symmetry...Ch. 7.5 - For Problems 625, determine the types of symmetry...Ch. 7.5 - For Problems 625, determine the types of symmetry...Ch. 7.5 - For Problems 625, determine the types of symmetry...Ch. 7.5 - For Problems 625, determine the types of symmetry...Ch. 7.5 - For Problems 625, determine the types of symmetry...Ch. 7.5 - For Problems 625, determine the types of symmetry...Ch. 7.5 - For Problems 625, determine the types of symmetry...Ch. 7.5 - For Problem 6-25, determine the types of symmetry...Ch. 7.5 - For Problems 625, determine the types of symmetry...Ch. 7.5 - For Problems 625, determine the types of symmetry...Ch. 7.5 - For Problems 625, determine the types of symmetry...Ch. 7.5 - For Problems 625, determine the types of symmetry...Ch. 7.5 - For Problems 625, determine the types of symmetry...Ch. 7.5 - For Problems 625, determine the types of symmetry...Ch. 7.5 - For Problems 625, determine the types of symmetry...Ch. 7.5 - For Problems 625, determine the types of symmetry...Ch. 7.5 - For Problems 625, determine the types of symmetry...Ch. 7.5 - For Problems 625, determine the types of symmetry...Ch. 7.5 - For Problems 625, determine the types of symmetry...Ch. 7.5 - For Problems 26-59, graph each of the equation....Ch. 7.5 - For Problems 26-59, graph each of the equation....Ch. 7.5 - For Problems 26-59, graph each of the equation....Ch. 7.5 - For Problems 26-59, graph each of the equation....Ch. 7.5 - For Problems 26-59, graph each of the equation....Ch. 7.5 - For Problems 26-59, graph each of the equation....Ch. 7.5 - For Problems 26-59, graph each of the equation....Ch. 7.5 - For Problems 26-59, graph each of the equation....Ch. 7.5 - For Problems 26-59, graph each of the equation....Ch. 7.5 - For Problems 26-59, graph each of the equation....Ch. 7.5 - For Problems 26-59, graph each of the equation....Ch. 7.5 - For Problems 26-59, graph each of the equation....Ch. 7.5 - For Problems 26-59, graph each of the equation....Ch. 7.5 - For Problems 26-59, graph each of the equation....Ch. 7.5 - For Problems 26-59, graph each of the equation....Ch. 7.5 - For Problems 26-59, graph each of the equation....Ch. 7.5 - For Problems 26-59, graph each of the equation....Ch. 7.5 - For Problems 26-59, graph each of the equation....Ch. 7.5 - For Problems 26-59, graph each of the equation....Ch. 7.5 - For Problems 26-59, graph each of the equation....Ch. 7.5 - For Problems 26-59, graph each of the equation....Ch. 7.5 - For Problems 26-59, graph each of the equation....Ch. 7.5 - For Problems 26-59, graph each of the equations....Ch. 7.5 - For Problems 26-59, graph each of the equations....Ch. 7.5 - For Problems 26-59, graph each of the equations....Ch. 7.5 - For Problems 2659, graph each of the equations....Ch. 7.5 - For Problems 2659, graph each of the equations....Ch. 7.5 - For Problems 2659, graph each of the equations....Ch. 7.5 - For Problems 2659, graph each of the equations....Ch. 7.5 - For Problems 2659, graph each of the equations....Ch. 7.5 - For Problems 2659, graph each of the equations....Ch. 7.5 - For Problems 2659, graph each of the equations....Ch. 7.5 - For Problems 2659, graph each of the equations....Ch. 7.5 - For Problems 2659, graph each of the equations....Ch. 7.5 - How would you convince someone that there are...Ch. 7.5 - What is the graph of x=0? What is the graph of...Ch. 7.5 - Is a graph symmetric with respect to the origin if...Ch. 7.5 - Is a graph symmetric with respect to both axes if...Ch. 7.5 - This set of activities is designed to help you get...Ch. 7.5 - This set of activities is designed to help you get...Ch. 7.5 - This set of activities is designed to help you get...Ch. 7.5 - This set of activities is designed to help you get...Ch. 7.5 - This set of activities is designed to help you get...Ch. 7.5 - This set of activities is designed to help you get...Ch. 7.S - Find the ordered pair for the equation 3x2y=10 if...Ch. 7.S - Graph y=x+2.Ch. 7.S - Graph 2x+y=4.Ch. 7.S - Graph x2y=0.Ch. 7.S - A car rental company charges a flat fee of 30 plus...Ch. 7.S - Graph 2xy4.Ch. 7.S - Find the distance between (1,4) and (2,3).Ch. 7.S - Find the slope of a line that contains the points...Ch. 7.S - Graph the line that contains the point (1,5) and...Ch. 7.S - A wheelchair ramp will be installed that needs to...Ch. 7.S - Change the equation 3x2y=14 to slope-intercept...Ch. 7.S - Find the equation of the line that contains the...Ch. 7.S - Find the equation of the line that contains the...Ch. 7.S - Find the equation of the line that contains the...Ch. 7.S - Determine the type of symmetry exhibited by the...Ch. 7.S - Graph x2+y3=0.Ch. 7.CR - For Problems 14, determine which of the ordered...Ch. 7.CR - For Problems 14, determine which of the ordered...Ch. 7.CR - For Problems 14, determine which of the ordered...Ch. 7.CR - For Problems 14, determine which of the ordered...Ch. 7.CR - For Problems 58, complete the tables of values for...Ch. 7.CR - For Problems 58, complete the tables of values for...Ch. 7.CR - For Problems 58, complete the tables of values for...Ch. 7.CR - For Problems 58, complete the tables of values for...Ch. 7.CR - For Problems 916, graph each equation by finding...Ch. 7.CR - For Problems 916, graph each equation by finding...Ch. 7.CR - For Problems 916, graph each equation by finding...Ch. 7.CR - For Problems 916, graph each equation by finding...Ch. 7.CR - For Problems 916, graph each equation by finding...Ch. 7.CR - For Problems 916, graph each equation by finding...Ch. 7.CR - For Problems 916, graph each equation by finding...Ch. 7.CR - For Problems 916, graph each equation by finding...Ch. 7.CR - For Problems 1728, graph each equation. y=3x1Ch. 7.CR - For Problems 1728, graph each equation. y=x+4Ch. 7.CR - For Problems 1728, graph each equation. x=3Ch. 7.CR - For Problems 1728, graph each equation. y=5Ch. 7.CR - For Problems 1728, graph each equation. y=4xCh. 7.CR - For Problems 1728, graph each equation. 2x+3y=0Ch. 7.CR - For Problems 1728, graph each equation. x=1Ch. 7.CR - For Problems 1728, graph each equation. y=2Ch. 7.CR - For Problems 1728, graph each equation. y=13xCh. 7.CR - For Problems 1728, graph each equation. y=23xCh. 7.CR - For Problems 1728, graph each equation. y=4Ch. 7.CR - For Problems 1728, graph each equation. x=3Ch. 7.CR - a An apartment moving company charges according to...Ch. 7.CR - a The value added tax is computed by the equation...Ch. 7.CR - For Problem 3138 graph each in equality. x+3y6Ch. 7.CR - For Problem 3138 graph each in equality. x+2y4Ch. 7.CR - For Problem 3138 graph each in equality. 2x3y6Ch. 7.CR - For Problem 3138 graph each in equality. y12x+3Ch. 7.CR - For Problem 3138 graph each in equality. y2x5Ch. 7.CR - For Problem 3138 graph each in equality. y23xCh. 7.CR - For Problem 3138 graph each in equality. y2xCh. 7.CR - For Problem 3138 graph each in equality. y3xCh. 7.CR - Find the distance between each of the pairs of...Ch. 7.CR - Find the lengths of the sides of a triangle whose...Ch. 7.CR - Verify that (1,2) is the midpoint of the line...Ch. 7.CR - Find the slope of the line determined by each pair...Ch. 7.CR - Find y if the line through (4,3) and (12,y) has a...Ch. 7.CR - Find x if the line through(x,5) and (3,-1) has a...Ch. 7.CR - For Problems 4548, graph the line that has the...Ch. 7.CR - For Problems 4548, graph the line that has the...Ch. 7.CR - For Problems 4548, graph the line that has the...Ch. 7.CR - For Problems 4548, graph the line that has the...Ch. 7.CR - A certain highway has a 6 grade. How many feet...Ch. 7.CR - If the ratio of rise to run is to be 23 for the...Ch. 7.CR - Find the slope of each of the following lines. a...Ch. 7.CR - Find the slope of any line that is perpendicular...Ch. 7.CR - Find the slope of any line that is parallel to the...Ch. 7.CR - For Problems 5461, write the equation of the line...Ch. 7.CR - For Problems 5461, write the equation of the line...Ch. 7.CR - For Problems 5461, write the equation of the line...Ch. 7.CR - For Problems 5461, write the equation of the line...Ch. 7.CR - For Problems 5461, write the equation of the line...Ch. 7.CR - For Problems 5461, write the equation of the line...Ch. 7.CR - For Problems 5461, write the equation of the line...Ch. 7.CR - For Problems 5461, write the equation of the line...Ch. 7.CR - The taxes for a primary residence can be described...Ch. 7.CR - The freight charged by a trucking firm for a...Ch. 7.CR - On a final exam in math class, the number of...Ch. 7.CR - The time needed to install computer cables has a...Ch. 7.CR - Determine the types of symmetry symmetry with...Ch. 7.CR - For Problems 6772, graph each equation. y=x3+2Ch. 7.CR - For Problems 6772, graph each equation. y=x3Ch. 7.CR - For Problems 6772, graph each equation. y=x2+3Ch. 7.CR - For Problems 6772, graph each equation. y=2x21Ch. 7.CR - For Problems 6772, graph each equation. y=x2+6Ch. 7.CR - For Problems 6772, graph each equation. y=x24Ch. 7.CT - Find the slope of the line determined by the...Ch. 7.CT - Find the slope of the line determined by the...Ch. 7.CT - Find the length of a line segment with endpoints...Ch. 7.CT - Find the equation of the line that has a slope of...Ch. 7.CT - Find the equation of the line that contains the...Ch. 7.CT - Find the equation of the line that is parallel to...Ch. 7.CT - Find the equation of the line that is...Ch. 7.CT - What kinds of symmetry does the graph of y=9x...Ch. 7.CT - What kinds of symmetry does the graph of y2=x2+6...Ch. 7.CT - What kinds of symmetry does the graph of...Ch. 7.CT - What is the slope of all lines that are parallel...Ch. 7.CT - What is the slope of all lines that are...Ch. 7.CT - Find the x intercept of the line y=35x23.Ch. 7.CT - Find the y intercept of the line 34x25y=14.Ch. 7.CT - The grade of a highway up a hill is 25. How much...Ch. 7.CT - Suppose that a highway rises 200 feet in a...Ch. 7.CT - If the ratio of rise to sun is to be 34 for the...Ch. 7.CT - For Problems 1823, graph each equation. y=x23Ch. 7.CT - For Problems 1823, graph each equation. y=x3Ch. 7.CT - For Problems 1823, graph each equation. 3x+y=5Ch. 7.CT - For Problems 1823, graph each equation. y=23xCh. 7.CT - For Problems 1823, graph each equation. 2x+3y=12Ch. 7.CT - For Problems 1823, graph each equation. y=14x14Ch. 7.CT - For Problem 24 and 25, graph each inequality. 2xy4Ch. 7.CT - For Problem 24 and 25, graph each inequality....

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