Intermediate Algebra
19th Edition
ISBN: 9780998625720
Author: Lynn Marecek
Publisher: OpenStax College
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Textbook Question
Chapter 11.1, Problem 11.4TI
Use the Distance Formula to find the distance between the points
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The augmented matrix of a linear system has been reduced by row operations to the
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1 -1
0 1 -2
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0-6
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1
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3
0
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Chapter 11 Solutions
Intermediate Algebra
Ch. 11.1 - Use the rectangular coordinate system to find the...Ch. 11.1 - Use the rectangular coordinate system to find the...Ch. 11.1 - Use the Distance Formula to find the distance...Ch. 11.1 - Use the Distance Formula to find the distance...Ch. 11.1 - Use the Distance Formula to find the distance...Ch. 11.1 - Use the Distance Formula to find the distance...Ch. 11.1 - Use the Midpoint Formula to find the midpoint of...Ch. 11.1 - Use the Midpoint Formula to find the midpoint of...Ch. 11.1 - Write the standard form of the equation of the...Ch. 11.1 - Write the standard form of the equation of the...
Ch. 11.1 - Write the standard form of the equation of the...Ch. 11.1 - Write the standard form of the equation of the...Ch. 11.1 - Write the standard form of the equation of the...Ch. 11.1 - Write the standard form of the equation of the...Ch. 11.1 - (a) Find the center and radius, then (b) Graph the...Ch. 11.1 - Find the center and radius, then (b) graph the...Ch. 11.1 - Find the center and radius, then (b) graph the...Ch. 11.1 - Find the center and radius, then (b) graph the...Ch. 11.1 - Find the center and radius, then (b) graph the...Ch. 11.1 - Find the center and radius, then (b) graph the...Ch. 11.1 - Find the center and radius, then (b) graph the...Ch. 11.1 - Find the center and radius, then (b) graph the...Ch. 11.1 - In the following exercises, find the distance...Ch. 11.1 - In the following exercises, find the distance...Ch. 11.1 - In the following exercises, find the distance...Ch. 11.1 - In the following exercises, find the distance...Ch. 11.1 - In the following exercises, find the distance...Ch. 11.1 - In the following exercises, find the distance...Ch. 11.1 - In the following exercises, find the distance...Ch. 11.1 - In the following exercises, find the distance...Ch. 11.1 - In the following exercises, find the distance...Ch. 11.1 - In the following exercises, find the distance...Ch. 11.1 - In the following exercises, find the distance...Ch. 11.1 - In the following exercises, find the distance...Ch. 11.1 - In the following exercises, find the midpoint of...Ch. 11.1 - In the following exercises, find the midpoint of...Ch. 11.1 - In the following exercises, find the midpoint of...Ch. 11.1 - In the following exercises, find the midpoint of...Ch. 11.1 - In the following exercises, write the standard...Ch. 11.1 - In the following exercises, write the standard...Ch. 11.1 - In the following exercises, write the standard...Ch. 11.1 - In the following exercises, write the standard...Ch. 11.1 - In the following exercises, write the standard...Ch. 11.1 - In the following exercises, write the standard...Ch. 11.1 - the following exercises, write the standard form...Ch. 11.1 - In the following exercises, write the standard...Ch. 11.1 - For the following exercises, write the standard...Ch. 11.1 - For the following exercises, write the standard...Ch. 11.1 - For the following exercises, write the standard...Ch. 11.1 - For the following exercises, write the standard...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - the following exercises, (a) find the center and...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - Explain the relationship between the distance...Ch. 11.1 - Is a circle a function? Explain why or why not.Ch. 11.1 - In your own words, state the definition of a...Ch. 11.1 - In your own words, explain the steps you would...Ch. 11.2 - Graph y=x2+5x6 by using properties.Ch. 11.2 - Graph y=x2+8x12 by using properties.Ch. 11.2 - (a) Write y=2x2+4x+5 in standard form and (b) use...Ch. 11.2 - (a) Write y=2x2+8x7 in standard form and (b) use...Ch. 11.2 - Graph x=y2 by using properties.Ch. 11.2 - Graph x=y2 by using properties.Ch. 11.2 - Graph x=y24y+12 by using properties.Ch. 11.2 - Graph x=y2+2y3 by using properties.Ch. 11.2 - Graph x=3(y1)2+2 using properties.Ch. 11.2 - Graph x=2(y3)2+2 using properties.Ch. 11.2 - Graph x=4(y+2)2+4 using properties.Ch. 11.2 - Graph x=2(y+3)2+2 . using properties.Ch. 11.2 - (a) Write x=3y2+y+7 in standard form and (b) use...Ch. 11.2 - (a) Write x=4y216y12 in standard form and (b) use...Ch. 11.2 - Find the equation of the parabolic arch formed in...Ch. 11.2 - Find the equation of the parabolic arch formed in...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, (a) write the equation...Ch. 11.2 - In the following exercises, (a) write the equation...Ch. 11.2 - In the following exercises, (a) write the equation...Ch. 11.2 - In the following exercises, (a) write the equation...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, (a) write the equation...Ch. 11.2 - In the following exercises, (a) write the equation...Ch. 11.2 - In the following exercises, (a) write the equation...Ch. 11.2 - In the following exercises, (a) write the equation...Ch. 11.2 - In the following exercises, match each graph to...Ch. 11.2 - In the following exercises, match each graph to...Ch. 11.2 - In the following exercises, match each graph to...Ch. 11.2 - In the following exercises, match each graph to...Ch. 11.2 - In the following exercises, match each graph to...Ch. 11.2 - In the following exercises, match each graph to...Ch. 11.2 - ?Write the equation of the parabolic arch formed...Ch. 11.2 - Write the equation of the parabolic arch formed in...Ch. 11.2 - Write the equation of the parabolic arch formed in...Ch. 11.2 - Write the equation of the parabolic arch formed in...Ch. 11.2 - In your own words, define a parabola.Ch. 11.2 - Is the parabola y=x2 a function? Is the parabola...Ch. 11.2 - Write the equation of a parabola that opens up or...Ch. 11.2 - Explain in your own words, how you can tell from...Ch. 11.3 - Graph: x24+y216=1.Ch. 11.3 - Graph: x29+y216=1.Ch. 11.3 - Graph 9x2+16y2=144.Ch. 11.3 - Graph 16x2+25y2=400.Ch. 11.3 - Find the equation of the ellipse shown.Ch. 11.3 - Find the equation of the ellipse shown.Ch. 11.3 - Graph: ( x+3)24+( y5)216=1.Ch. 11.3 - Graph: ( x1)225+( y+3)216=1.Ch. 11.3 - Graph ( x5)29+( y+4)24=1 by translation.Ch. 11.3 - Graph ( x+6)216+( y+2)225=1 by transaction.Ch. 11.3 - (a) Write the equation 6x2+4y2+12x32y+34=0 in...Ch. 11.3 - (a) Write the equation 4x2+y216x6y+9=0 in standard...Ch. 11.3 - A planet moves in an elliptical orbit around its...Ch. 11.3 - A planet moves in an elliptical orbit around its...Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, find the equation of...Ch. 11.3 - In the following exercises, find the equation of...Ch. 11.3 - In the following exercises, find the equation of...Ch. 11.3 - In the following exercises, find the equation of...Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, (a) write the equation...Ch. 11.3 - In the following exercises, (a) write the equation...Ch. 11.3 - In the following exercises, (a) write the equation...Ch. 11.3 - In the following exercises, (a) write the equation...Ch. 11.3 - In the following exercises, graph the equation....Ch. 11.3 - In the following exercises, graph the equation....Ch. 11.3 - In the following exercises, graph the equation....Ch. 11.3 - In the following exercises, graph the equation....Ch. 11.3 - In the following exercises, graph the equation....Ch. 11.3 - In the following exercises, graph the equation....Ch. 11.3 - In the following exercises, graph the equation....Ch. 11.3 - In the following exercises, graph the equation....Ch. 11.3 - In the following exercises, graph the equation....Ch. 11.3 - In the following exercises, graph the equation....Ch. 11.3 - In the following exercises, graph the equation....Ch. 11.3 - In the following exercises, graph the equation....Ch. 11.3 - A planet moves in an elliptical orbit around its...Ch. 11.3 - A planet moves in an elliptical orbit around its...Ch. 11.3 - A comet moves in an elliptical orbit around a sun....Ch. 11.3 - A comet moves in an elliptical orbit around a sun....Ch. 11.3 - In your own words, define an ellipse and write the...Ch. 11.3 - Explain in your own words how to get the axes from...Ch. 11.3 - Compare and contrast the graphs of the equations...Ch. 11.3 - Explain in your own words, the difference between...Ch. 11.4 - Graph x216y24=1.Ch. 11.4 - x29y216=1.Ch. 11.4 - Graph 4y225x2=100.Ch. 11.4 - Graph 25y29x2=225.Ch. 11.4 - Graph ( x3)225( y1)29=1.Ch. 11.4 - Graph ( x2)24( y2)29=1.Ch. 11.4 - Graph ( y+3)216( x+2)29=1.Ch. 11.4 - Graph ( y+2)29( x+2)29=1.Ch. 11.4 - Write the equation in standard form and (b) graph...Ch. 11.4 - Write the equation in standard form and (b) graph...Ch. 11.4 - Identify the graph of each equation as a circle, a...Ch. 11.4 - Identify the graph of each equation as a circle,...Ch. 11.4 - In the following exercises, graph. 147. x29y24=1Ch. 11.4 - In the following exercises, graph. 148. x225y29=1Ch. 11.4 - In the following exercises, graph. 149. x216y225=1Ch. 11.4 - In the following exercises, graph. 150. x29y236=1Ch. 11.4 - In the following exercises, graph. 151. y225x24=1Ch. 11.4 - In the following exercises, graph. 152. y236x216=1Ch. 11.4 - In the following exercises, graph. 153....Ch. 11.4 - In the following exercises, graph. 154....Ch. 11.4 - In the following exercises, graph. 155. 4y29x2=36Ch. 11.4 - In the following exercises, graph. 156....Ch. 11.4 - In the following exercises, graph. 157. 4x216y2=64Ch. 11.4 - AIn the following exercises, graph. 158. 9x24y2=36Ch. 11.4 - In the following exercises, graph. 159. ( x1)216(...Ch. 11.4 - In the following exercises, graph. 160. ( x2)24(...Ch. 11.4 - In the following exercises, graph. 161. ( y4)29(...Ch. 11.4 - In the following exercises, graph. 162. ( y1)225(...Ch. 11.4 - LIn the following exercises, graph. 163. (...Ch. 11.4 - In the following exercises, graph. 164. ( y+1)216(...Ch. 11.4 - In the following exercises, graph. 165. ( y4)216(...Ch. 11.4 - In the following exercises, graph. 166. ( y+3)216(...Ch. 11.4 - In the following exercises, graph. 167. ( x3)225(...Ch. 11.4 - In the following exercises, graph. 168. ( x+2)24(...Ch. 11.4 - In the following exercises, (a) write the equation...Ch. 11.4 - In the following exercises, (a) write the equation...Ch. 11.4 - In the following exercises, (a) write the equation...Ch. 11.4 - In the following exercises, (a) write the equation...Ch. 11.4 - In the following exercises, (a) write the equation...Ch. 11.4 - In the following exercises, identify the type of...Ch. 11.4 - In the following exercises, identify the type of...Ch. 11.4 - In the following exercises, graph each equation....Ch. 11.4 - In the following exercises, graph each equation....Ch. 11.4 - In the following exercises, graph each equation....Ch. 11.4 - In the following exercises, graph each equation....Ch. 11.4 - In the following exercises, graph each equation....Ch. 11.4 - In the following exercises, graph each equation....Ch. 11.4 - In the following exercises, graph each equation....Ch. 11.4 - In the following exercises, graph each equation....Ch. 11.4 - In your own words, define a hyperbola and write...Ch. 11.4 - Explain in your own words how to create and use...Ch. 11.4 - Compare and contrast the graphs of the equations...Ch. 11.4 - Explain in your own words, how to distinguish the...Ch. 11.5 - Solve the system by graphing: {x+y=4y=x2+2.Ch. 11.5 - Solve the system by graphing: {xy=1y=x2+3.Ch. 11.5 - Solve the system by graphing: {x=6 (x3 )2+ (y1...Ch. 11.5 - LSolve the system by graphing: {y=4 (x2 )2+ (y+3...Ch. 11.5 - Solve the system by using substitution:...Ch. 11.5 - Solve the system by using substitution:...Ch. 11.5 - Solve the system by using substitution:...Ch. 11.5 - Solve the system by using substitution:...Ch. 11.5 - Solve the system by elimination: {x2+y2=9x2y=9.Ch. 11.5 - Solve the system by elimination: {x2+y2=1x+y2=1.Ch. 11.5 - Solve the system by elimination: {x2+y2=25x2y2=7.Ch. 11.5 - Solve the system by elimination: {x2+y2=4x2y2=4.Ch. 11.5 - The difference of the squares of two numbers is...Ch. 11.5 - The difference of the squares of two numbers is...Ch. 11.5 - Edgar purchased a small 20" TV for his garage. The...Ch. 11.5 - The Harper family purchased a small microwave for...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the problem...Ch. 11.5 - In the following exercises, solve the problem...Ch. 11.5 - In the following exercises, solve the problem...Ch. 11.5 - In the following exercises, solve the problem...Ch. 11.5 - In the following exercises, solve the problem...Ch. 11.5 - In the following exercises, solve the problem...Ch. 11.5 - In the following exercises, solve the problem...Ch. 11.5 - In the following exercises, solve the problem...Ch. 11.5 - In the following exercises, solve the problem...Ch. 11.5 - In the following exercises, solve the problem...Ch. 11.5 - In the following exercises, solve the problem...Ch. 11.5 - In the following exercises, solve the problem...Ch. 11.5 - In your own words, explain the advantages and...Ch. 11.5 - Explain in your own words how to solve a system of...Ch. 11.5 - Explain in your own words how to solve a system of...Ch. 11.5 - A circle and a parabola can intersect in ways that...Ch. 11 - In the following exercises, find the distance...Ch. 11 - In the following exercises, find the distance...Ch. 11 - In the following exercises, find the distance...Ch. 11 - In the following exercises, find the distance...Ch. 11 - In the following exercises, find the midpoint of...Ch. 11 - In the following exercises, find the midpoint of...Ch. 11 - In the following exercises, find the midpoint of...Ch. 11 - In the following exercises, find the midpoint of...Ch. 11 - In the following exercises, write the standard...Ch. 11 - In the following exercises, write the standard...Ch. 11 - In the following exercises, write the standard...Ch. 11 - In the following exercises, write the standard...Ch. 11 - In the following exercises, write the standard...Ch. 11 - In the following exercises, write the standard...Ch. 11 - In the following exercises, (a) find the center...Ch. 11 - In the following exercises, (a) find the center...Ch. 11 - In the following exercises, (a) find the center...Ch. 11 - In the following exercises, (a) find the center...Ch. 11 - In the following exercises, (a) find the center...Ch. 11 - In the following exercises, (a) find the center...Ch. 11 - In the following exercises, graph each equation by...Ch. 11 - In the following exercises, graph each equation by...Ch. 11 - In the following exercises, graph each equation by...Ch. 11 - In the following exercises, graph each equation by...Ch. 11 - In the following exercises, (a) write the equation...Ch. 11 - In the following exercises, (a) write the equation...Ch. 11 - In the following exercises, (a) write the equation...Ch. 11 - In the following exercises, (a) write the equation...Ch. 11 - In the following exercises, graph each equation by...Ch. 11 - In the following exercises, graph each equation by...Ch. 11 - In the following exercises, graph each equation by...Ch. 11 - In the following exercises, graph each equation by...Ch. 11 - In the following exercises, (a) write the equation...Ch. 11 - In the following exercises, (a) write the equation...Ch. 11 - In the following exercises, (a) write the equation...Ch. 11 - In the following exercises, (a) write the equation...Ch. 11 - In the following exercises, create the equation of...Ch. 11 - In the following exercises, create the equation of...Ch. 11 - ]In the following exercises, graph each ellipse....Ch. 11 - In the following exercises, graph each ellipse....Ch. 11 - In the following exercises, graph each ellipse....Ch. 11 - In the following exercises, graph each ellipse....Ch. 11 - In the following exercises, find the equation of...Ch. 11 - In the following exercises, find the equation of...Ch. 11 - In the following exercises, graph each ellipse....Ch. 11 - In the following exercises, graph each ellipse....Ch. 11 - In the following exercises, graph each ellipse....Ch. 11 - In the following exercises, graph each ellipse....Ch. 11 - In the following exercises, (a) write the equation...Ch. 11 - In the following exercises, (a) write the equation...Ch. 11 - In the following exercises, (a) write the equation...Ch. 11 - In the following exercises, (a) write the equation...Ch. 11 - In the following exercises, write the equation of...Ch. 11 - In the following exercises, graph. 297. x225y29=1Ch. 11 - In the following exercises, graph. 298. y249x216=1Ch. 11 - In the following exercises, graph. 299....Ch. 11 - In the following exercises, graph. 300. 16x24y2=64Ch. 11 - In the following exercises, graph. 301. ( x+1)24(...Ch. 11 - ]In the following exercises, graph. 302. ( x2 ) 2...Ch. 11 - In the following exercises, graph. 303. ( y+2)29(...Ch. 11 - In the following exercises, graph. 304. ( y1)225(...Ch. 11 - In the following exercises, (a) write the equation...Ch. 11 - In the following exercises, (a) write the equation...Ch. 11 - In the following exercises, (a) write the equation...Ch. 11 - In the following exercises, (a) write the equation...Ch. 11 - In the following exercises, identify the type of...Ch. 11 - In the following exercises, identify the type of...Ch. 11 - In the following exercises, solve the system of...Ch. 11 - In the following exercises, solve the system of...Ch. 11 - In the following exercises, solve the system of...Ch. 11 - In the following exercises, solve the system of...Ch. 11 - In the following exercises, solve the system of...Ch. 11 - In the following exercises, solve the system of...Ch. 11 - In the following exercises, solve the system of...Ch. 11 - In the following exercises, solve the system of...Ch. 11 - In the following exercises, solve the system of...Ch. 11 - In the following exercises, solve the system of...Ch. 11 - In the following exercises, solve the system of...Ch. 11 - In the following exercises, solve the system of...Ch. 11 - In the following exercises, solve the problem...Ch. 11 - In the following exercises, solve the problem...Ch. 11 - In the following exercises, solve the problem...Ch. 11 - In the following exercises, solve the problem...Ch. 11 - In the following exercises, find the distance...Ch. 11 - In the following exercises, find the distance...Ch. 11 - In the following exercises, write the standard...Ch. 11 - In the following exercises, write the standard...Ch. 11 - In the following exercises, write the standard...Ch. 11 - In the following exercises, write the standard...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...
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- M = log The formula determines the magnitude of an earthquake, where / is the intensity of the earthquake and S is the intensity of a "standard earthquake." How many times stronger is an earthquake with a magnitude of 8 than an earthquake with a magnitude of 6? Show your work.arrow_forwardNow consider equations of the form ×-a=v = √bx + c, where a, b, and c are all positive integers and b>1. (f) Create an equation of this form that has 7 as a solution and an extraneous solution. Give the extraneous solution. (g) What must be true about the value of bx + c to ensure that there is a real number solution to the equation? Explain.arrow_forwardThe equation ×+ 2 = √3x+10 is of the form ×+ a = √bx + c, where a, b, and c are all positive integers and b > 1. Using this equation as a model, create your own equation that has extraneous solutions. (d) Using trial and error with numbers for a, b, and c, create an equation of the form x + a = √bx + c, where a, b, and c are all positive integers and b>1 such that 7 is a solution and there is an extraneous solution. (Hint: Substitute 7 for x, and choose a value for a. Then square both sides so you can choose a, b, and c that will make the equation true.) (e) Solve the equation you created in Part 2a.arrow_forward
- A basketball player made 12 out of 15 free throws she attempted. She wants to know how many consecutive free throws she would have to make to raise the percent of successful free throws to 85%. (a) Write an equation to represent this situation. (b) Solve the equation. How many consecutive free throws would she have to make to raise her percent to 85%?arrow_forwardA boat is 15 ft away from a point perpendicular to the shoreline. A person stands at a point down the shoreline so that a 65° angle is formed between the closest point to the boat, the person, and the boat. How far is the person from the boat? Round your answer to the nearest tenth of a foot. Show your work. boat 15 ft d 65° personarrow_forward2. Find the value of x in the triangle. Round your answer to the nearest tenth of a degree. Show your work. 8 15arrow_forward
- Use the equation x+2= √3x+10 to answer these questions. (a) What is the solution to the equation? (b) What is the extraneous solution? Why? (c) In general, what is an extraneous solution?arrow_forwardA utility pole is 35 ft tall. The pole creates a 50 ft shadow. What is the angle of elevation of the sun? Round your answer to the nearest degree. Show your work. nswer:arrow_forwardWrite the expression as a simplified rational expression. Show your work. 1 6 + 5 1 x + 1arrow_forward
- The population of a town was 5655 in 2010. The population grows at a rate of 1.4% annually. (a) Use the exponential growth model to write an equation that estimates the population t years after 2010. (a) Estimate the population of the town in 2022. Show your work.arrow_forwardSimplify the expression (x³ - 5x² + 7x - 12) ÷ (x − 4) using long division. Show your work.arrow_forwardx² + 3x - 28 Simplify the expression x² - 7x+12. Show nswer: your work.arrow_forward
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