Algebra and Trigonometry
4th Edition
ISBN: 9781305719781
Author: James Stewart, Lothar Redlin, Saleem Watson
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Videos
Question
Chapter 8.3, Problem 54E
To determine
To find:
The product
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
3. Write a system of linear equations in slope intercept form that has exactly one solution at
the point (3, 4), such that one line has positive slope (but not 1) and the other line has
negative slope (but not "1).
Also write your system of equations with both
equations written in standard form with out
any fractions
8-
7
8
5
4
3
-2-
+
-8-7-6-5-4-3-2-1
1 2
3
-1
2
-
°
4
-5
-
-8
2. Write a system of linear equations in slope-intercept form has exactly one solution at the
point (3, 4), such that both lines have negative slope (but neither one has slope of 1).
Also write your system of equations with
both equations written in standard form
without any fractions.
B
0
5
4
3
-2
1
-8-7-6-5-4-3-2 -1
12
3
-1
2
-3
-5
6
-7
-8
4. Write a system of linear equations in slope-intercept form that has no solution, such that
(3, 4), and (3,8) are solutions to the first equation, and (0, 4) is a solution to the second
equation.
Also write your system of equations with both
equations written in standard form with out any
fractions
B
0
5
4
3
-2
+
-8-7-6-5-4-3-2
-1
|-
1 2 3
-1
2
-3
4
-5
6
-7
Chapter 8 Solutions
Algebra and Trigonometry
Ch. 8.1 - CONCEPTS We can describe the location of a point...Ch. 8.1 - Prob. 2ECh. 8.1 - Prob. 3ECh. 8.1 - Prob. 4ECh. 8.1 - Prob. 5ECh. 8.1 - Prob. 6ECh. 8.1 - SKILLS 5-10 Plotting Points in Polar Coordinates...Ch. 8.1 - Prob. 8ECh. 8.1 - Prob. 9ECh. 8.1 - Prob. 10E
Ch. 8.1 - Prob. 11ECh. 8.1 - Prob. 12ECh. 8.1 - SKILLS 11-16 Different Polar Coordinates for the...Ch. 8.1 - Prob. 14ECh. 8.1 - Prob. 15ECh. 8.1 - Prob. 16ECh. 8.1 - Prob. 17ECh. 8.1 - Prob. 18ECh. 8.1 - SKILLS 17-24 Points in Polar Coordinates...Ch. 8.1 - Prob. 20ECh. 8.1 - Prob. 21ECh. 8.1 - Prob. 22ECh. 8.1 - Prob. 23ECh. 8.1 - Prob. 24ECh. 8.1 - SKILLS 25-26 Rectangular Coordinates to Polar...Ch. 8.1 - Prob. 26ECh. 8.1 - Prob. 27ECh. 8.1 - Prob. 28ECh. 8.1 - Prob. 29ECh. 8.1 - Prob. 30ECh. 8.1 - 29-36 Polar Coordinates to Rectangular Coordinates...Ch. 8.1 - Prob. 32ECh. 8.1 - Prob. 33ECh. 8.1 - Prob. 34ECh. 8.1 - Prob. 35ECh. 8.1 - Prob. 36ECh. 8.1 - SKILLS 37-44 Rectangular Coordinates to Polar...Ch. 8.1 - Prob. 38ECh. 8.1 - Prob. 39ECh. 8.1 - Prob. 40ECh. 8.1 - Prob. 41ECh. 8.1 - Prob. 42ECh. 8.1 - 37-44 Rectangular Coordinates to Polar Coordinates...Ch. 8.1 - Prob. 44ECh. 8.1 - Prob. 45ECh. 8.1 - Prob. 46ECh. 8.1 - Prob. 47ECh. 8.1 - Prob. 48ECh. 8.1 - SKILLS 45-50 Rectangular equations to polar...Ch. 8.1 - Prob. 50ECh. 8.1 - Prob. 51ECh. 8.1 - Prob. 52ECh. 8.1 - Prob. 53ECh. 8.1 - Prob. 54ECh. 8.1 - SKILLS 51-70 Polar Equations to Rectangular...Ch. 8.1 - Prob. 56ECh. 8.1 - Prob. 57ECh. 8.1 - Prob. 58ECh. 8.1 - Prob. 59ECh. 8.1 - Prob. 60ECh. 8.1 - SKILLS 51-70 Polar Equations to Rectangular...Ch. 8.1 - Prob. 62ECh. 8.1 - Prob. 63ECh. 8.1 - Prob. 64ECh. 8.1 - Prob. 65ECh. 8.1 - Prob. 66ECh. 8.1 - SKILLS 51-70 Polar Equations to Rectangular...Ch. 8.1 - Prob. 68ECh. 8.1 - Prob. 69ECh. 8.1 - Prob. 70ECh. 8.1 - Prob. 71ECh. 8.1 - Prob. 72ECh. 8.2 - Prob. 1ECh. 8.2 - Prob. 2ECh. 8.2 - Prob. 3ECh. 8.2 - Prob. 4ECh. 8.2 - Prob. 5ECh. 8.2 - Prob. 6ECh. 8.2 - Prob. 7ECh. 8.2 - Prob. 8ECh. 8.2 - Prob. 9ECh. 8.2 - Prob. 10ECh. 8.2 - Prob. 11ECh. 8.2 - Prob. 12ECh. 8.2 - Prob. 13ECh. 8.2 - Prob. 14ECh. 8.2 - Prob. 15ECh. 8.2 - Prob. 16ECh. 8.2 - Prob. 17ECh. 8.2 - Prob. 18ECh. 8.2 - 17-22 Polar to Rectangular Sketch a graph of the...Ch. 8.2 - Prob. 20ECh. 8.2 - Prob. 21ECh. 8.2 - Prob. 22ECh. 8.2 - Prob. 23ECh. 8.2 - Prob. 24ECh. 8.2 - Prob. 25ECh. 8.2 - Prob. 26ECh. 8.2 - Prob. 27ECh. 8.2 - Prob. 28ECh. 8.2 - Prob. 29ECh. 8.2 - Prob. 30ECh. 8.2 - Prob. 31ECh. 8.2 - Prob. 32ECh. 8.2 - Prob. 33ECh. 8.2 - Prob. 34ECh. 8.2 - Prob. 35ECh. 8.2 - Prob. 36ECh. 8.2 - Prob. 37ECh. 8.2 - Prob. 38ECh. 8.2 - Prob. 39ECh. 8.2 - Prob. 40ECh. 8.2 - Prob. 41ECh. 8.2 - Prob. 42ECh. 8.2 - 2346 Graphing Polar EquationsSketch a graph of the...Ch. 8.2 - Prob. 44ECh. 8.2 - Prob. 45ECh. 8.2 - Prob. 46ECh. 8.2 - Prob. 47ECh. 8.2 - Prob. 48ECh. 8.2 - Prob. 49ECh. 8.2 - Prob. 50ECh. 8.2 - Prob. 51ECh. 8.2 - Prob. 52ECh. 8.2 - Prob. 53ECh. 8.2 - Prob. 54ECh. 8.2 - Prob. 55ECh. 8.2 - Prob. 56ECh. 8.2 - Prob. 57ECh. 8.2 - Prob. 58ECh. 8.2 - Prob. 59ECh. 8.2 - Prob. 60ECh. 8.2 - Prob. 61ECh. 8.2 - Prob. 62ECh. 8.2 - Prob. 63ECh. 8.2 - Prob. 64ECh. 8.2 - Prob. 65ECh. 8.2 - Prob. 66ECh. 8.2 - DISCUSSDISCOVERPROVEWRITE DISCUSS: Choosing a...Ch. 8.3 - CONCEPTS A complex number z=a+bi has two parts: a...Ch. 8.3 - Prob. 2ECh. 8.3 - Prob. 3ECh. 8.3 - Prob. 4ECh. 8.3 - Prob. 5ECh. 8.3 - Prob. 6ECh. 8.3 - SKILLS 514 A Complex Number and Its Modulus Graph...Ch. 8.3 - Prob. 8ECh. 8.3 - Prob. 9ECh. 8.3 - Prob. 10ECh. 8.3 - Prob. 11ECh. 8.3 - Prob. 12ECh. 8.3 - SKILLS 514A Complex Number and Its Modulus Graph...Ch. 8.3 - Prob. 14ECh. 8.3 - SKILLS 15-16Graphing Complex Numbers. Sketch the...Ch. 8.3 - Prob. 16ECh. 8.3 - Prob. 17ECh. 8.3 - Prob. 18ECh. 8.3 - SKILLS 19-20Graphing Complex Numbers. Sketch the...Ch. 8.3 - Prob. 20ECh. 8.3 - Prob. 21ECh. 8.3 - Prob. 22ECh. 8.3 - Prob. 23ECh. 8.3 - 21-28 Graphing Sets of Complex Numbers Sketch the...Ch. 8.3 - 21-28 Graphing Sets of Complex Numbers Sketch the...Ch. 8.3 - Prob. 26ECh. 8.3 - Prob. 27ECh. 8.3 - Prob. 28ECh. 8.3 - Prob. 29ECh. 8.3 - Prob. 30ECh. 8.3 - 2948 Polar Form of Complex Numbers Write the...Ch. 8.3 - Prob. 32ECh. 8.3 - Prob. 33ECh. 8.3 - Prob. 34ECh. 8.3 - Prob. 35ECh. 8.3 - Prob. 36ECh. 8.3 - 2948 Polar Form of Complex Numbers Write the...Ch. 8.3 - Prob. 38ECh. 8.3 - Prob. 39ECh. 8.3 - Prob. 40ECh. 8.3 - Prob. 41ECh. 8.3 - Prob. 42ECh. 8.3 - 2948 Polar Form of Complex Numbers Write the...Ch. 8.3 - Prob. 44ECh. 8.3 - Prob. 45ECh. 8.3 - Prob. 46ECh. 8.3 - Prob. 47ECh. 8.3 - Prob. 48ECh. 8.3 - SKILLS 49-56Product and Quotients of Complex...Ch. 8.3 - Prob. 50ECh. 8.3 - Prob. 51ECh. 8.3 - Prob. 52ECh. 8.3 - Prob. 53ECh. 8.3 - Prob. 54ECh. 8.3 - 49-56 Product and Quotients of Complex numbersFind...Ch. 8.3 - Prob. 56ECh. 8.3 - Prob. 57ECh. 8.3 - Prob. 58ECh. 8.3 - Prob. 59ECh. 8.3 - Prob. 60ECh. 8.3 - 57-64 Product and Quotients of Complex...Ch. 8.3 - Prob. 62ECh. 8.3 - Prob. 63ECh. 8.3 - Prob. 64ECh. 8.3 - Prob. 65ECh. 8.3 - Prob. 66ECh. 8.3 - SKILLS 65-76Powers Using De Moivres TheoremFind...Ch. 8.3 - SKILLS 65-76Powers Using De Moivres TheoremFind...Ch. 8.3 - Prob. 69ECh. 8.3 - Prob. 70ECh. 8.3 - Prob. 71ECh. 8.3 - Prob. 72ECh. 8.3 - SKILLS 65-76Powers Using De Moivres TheoremFind...Ch. 8.3 - Prob. 74ECh. 8.3 - Prob. 75ECh. 8.3 - Prob. 76ECh. 8.3 - Prob. 77ECh. 8.3 - Prob. 78ECh. 8.3 - SKILLS 77-86Roots of Complex NumbersFind the...Ch. 8.3 - Prob. 80ECh. 8.3 - Prob. 81ECh. 8.3 - 77-86Roots of Complex NumbersFind the indicated...Ch. 8.3 - Prob. 83ECh. 8.3 - Prob. 84ECh. 8.3 - 77-86 Roots of Complex NumbersFind the indicated...Ch. 8.3 - Prob. 86ECh. 8.3 - Prob. 87ECh. 8.3 - Prob. 88ECh. 8.3 - Prob. 89ECh. 8.3 - Prob. 90ECh. 8.3 - Prob. 91ECh. 8.3 - Prob. 92ECh. 8.3 - Prob. 93ECh. 8.3 - Prob. 94ECh. 8.3 - Prob. 95ECh. 8.3 - Prob. 96ECh. 8.3 - Prob. 97ECh. 8.3 - Prob. 98ECh. 8.3 - Prob. 99ECh. 8.3 - Prob. 100ECh. 8.3 - Prob. 101ECh. 8.4 - Prob. 1ECh. 8.4 - Prob. 2ECh. 8.4 - Prob. 3ECh. 8.4 - Prob. 4ECh. 8.4 - Prob. 5ECh. 8.4 - Prob. 6ECh. 8.4 - Prob. 7ECh. 8.4 - Prob. 8ECh. 8.4 - Prob. 9ECh. 8.4 - Prob. 10ECh. 8.4 - Prob. 11ECh. 8.4 - Prob. 12ECh. 8.4 - Prob. 13ECh. 8.4 - Prob. 14ECh. 8.4 - Prob. 15ECh. 8.4 - Prob. 16ECh. 8.4 - Prob. 17ECh. 8.4 - Prob. 18ECh. 8.4 - Prob. 19ECh. 8.4 - Prob. 20ECh. 8.4 - Prob. 21ECh. 8.4 - Prob. 22ECh. 8.4 - Prob. 23ECh. 8.4 - Prob. 24ECh. 8.4 - Prob. 25ECh. 8.4 - Prob. 26ECh. 8.4 - Prob. 27ECh. 8.4 - Prob. 28ECh. 8.4 - Prob. 29ECh. 8.4 - Prob. 30ECh. 8.4 - Prob. 31ECh. 8.4 - Prob. 32ECh. 8.4 - Prob. 33ECh. 8.4 - Prob. 34ECh. 8.4 - Prob. 35ECh. 8.4 - Prob. 36ECh. 8.4 - Prob. 37ECh. 8.4 - Prob. 38ECh. 8.4 - Prob. 39ECh. 8.4 - Prob. 40ECh. 8.4 - Prob. 41ECh. 8.4 - Prob. 42ECh. 8.4 - Prob. 43ECh. 8.4 - Prob. 44ECh. 8.4 - Prob. 45ECh. 8.4 - Prob. 46ECh. 8.4 - Prob. 47ECh. 8.4 - Prob. 48ECh. 8.4 - Prob. 49ECh. 8.4 - Prob. 50ECh. 8.4 - Prob. 51ECh. 8.4 - Prob. 52ECh. 8.4 - Prob. 53ECh. 8.4 - Finding Parametric Equations for a Curve Two...Ch. 8.4 - Prob. 55ECh. 8.4 - Prob. 56ECh. 8.4 - Prob. 57ECh. 8.4 - Prob. 58ECh. 8.4 - Prob. 59ECh. 8.4 - Prob. 60ECh. 8.4 - Prob. 61ECh. 8.4 - Prob. 62ECh. 8.4 - Prob. 63ECh. 8.4 - Epicycloid If the circle C of Exercise 63 rolls on...Ch. 8.4 - Longbow CurveIn the following figure, the circle...Ch. 8.4 - Prob. 66ECh. 8.4 - Prob. 67ECh. 8.4 - Prob. 68ECh. 8.4 - Prob. 69ECh. 8.4 - Prob. 70ECh. 8.4 - Prob. 71ECh. 8.CR - Prob. 1CCCh. 8.CR - Prob. 2CCCh. 8.CR - Prob. 3CCCh. 8.CR - Prob. 4CCCh. 8.CR - a How do we express the complex number z in polar...Ch. 8.CR - Prob. 6CCCh. 8.CR - Prob. 7CCCh. 8.CR - Prob. 8CCCh. 8.CR - Prob. 9CCCh. 8.CR - Prob. 1ECh. 8.CR - Prob. 2ECh. 8.CR - Prob. 3ECh. 8.CR - Prob. 4ECh. 8.CR - Prob. 5ECh. 8.CR - Prob. 6ECh. 8.CR - Prob. 7ECh. 8.CR - Prob. 8ECh. 8.CR - Prob. 9ECh. 8.CR - Prob. 10ECh. 8.CR - Prob. 11ECh. 8.CR - Prob. 12ECh. 8.CR - Prob. 13ECh. 8.CR - Prob. 14ECh. 8.CR - Prob. 15ECh. 8.CR - Prob. 16ECh. 8.CR - Prob. 17ECh. 8.CR - Prob. 18ECh. 8.CR - Prob. 19ECh. 8.CR - Prob. 20ECh. 8.CR - Prob. 21ECh. 8.CR - Prob. 22ECh. 8.CR - Prob. 23ECh. 8.CR - Prob. 24ECh. 8.CR - Prob. 25ECh. 8.CR - Prob. 26ECh. 8.CR - Prob. 27ECh. 8.CR - Prob. 28ECh. 8.CR - Prob. 29ECh. 8.CR - Prob. 30ECh. 8.CR - Prob. 31ECh. 8.CR - Prob. 32ECh. 8.CR - Prob. 33ECh. 8.CR - Prob. 34ECh. 8.CR - Prob. 35ECh. 8.CR - Prob. 36ECh. 8.CR - Prob. 37ECh. 8.CR - Prob. 38ECh. 8.CR - Prob. 39ECh. 8.CR - Prob. 40ECh. 8.CR - Prob. 41ECh. 8.CR - Prob. 42ECh. 8.CR - Prob. 43ECh. 8.CR - Prob. 44ECh. 8.CR - Prob. 45ECh. 8.CR - Prob. 46ECh. 8.CR - Prob. 47ECh. 8.CR - Prob. 48ECh. 8.CR - Prob. 49ECh. 8.CT - Prob. 1CTCh. 8.CT - Prob. 2CTCh. 8.CT - Prob. 3CTCh. 8.CT - Prob. 4CTCh. 8.CT - Prob. 5CTCh. 8.CT - Find the cube roots of 27i, and sketch these roots...Ch. 8.CT - Prob. 7CTCh. 8.CT - Prob. 8CTCh. 8.CT - Prob. 9CTCh. 8.FOM - Trajectories Are Parabolas From the graphs in...Ch. 8.FOM - Path of a Baseball Suppose a baseball is thrown at...Ch. 8.FOM - Path of a Rocket Suppose that a rocket is fired at...Ch. 8.FOM - Firing a Missile The initial speed of a missile is...Ch. 8.FOM - Prob. 5PCh. 8.FOM - Shooting into the Wind Suppose that a projectile...Ch. 8.FOM - Shooting into the Wind Using the parametric...Ch. 8.FOM - Prob. 8P
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Similar questions
- Show how you can solve the system of equations by manipulating the algebra tiles while maintaining the balances. On this side of the page, use the addition (elimination) method. Keep track of what you did at each step by writing down the corresponding equivalent equations, as well as what you did to go from one equation to the next. 1. x + 2y = 5 x-2y=1 2. 2x+y=2 x-2y= 6arrow_forwarde) x24 1) Which of these are equivalent to x³? For each expression that is equivalent to x², prove it by using the definition of exponents. For each that is not equivalent to x³, give an example using a specific value for x that shows that it represents a different number. a) (x5) d) f) 10-2 b) (x²) *|*arrow_forwardNow show how you can solve the system of equations by manipulating the algebra tiles while maintaining the balances, using the substitution method. Keep track of what you did at each step by writing down the corresponding equivalent equations, as well as what you did to go from one equation to the next. Δ 1. x + 2y = 5 x-2y=1 2. 2x + y = 2 x-2y= 6arrow_forward
- 1. Write a system of two linear equations in slope-intercept form that has exactly one solution at the point (3, 4), such that both lines have positive slope (but neither one has slope of 1) Also write your system of equations with both equations written in standard form without any fractions. 8- 7 8 5 4 3 -2- + -8-7-6-5-4-3-2-1 1 2 3 -1 2 - 4 -5 -7 -8arrow_forwardThe original idea for creating this applet comes from Steve Phelps' Graph the Line applet. Directions: 1) Examine the equation shown on the right side of the screen. 2) Reposition the 2 big points so that the line is the graph of the displayed equation. 3) Click the "Check Answer" checkbox to check. If you're correct, the app will inform you. If you're not, you'll know this as well. If you're not correct, keep trying until you position the gray line correctly. 4) After correctly graphing the line, click the "Generate New Line" button.arrow_forwardProblem 1 & 2 answers 1. One diagonal has 11 squares, then total square in total for two diagonal line is 11 + 11 - 1 = 21 . 2. Each part has 5 squares.(except middle)Multiply by 4: 5 × 4 = 20.Add the middle square: 20 + 1 = 21.arrow_forward
- 2. Now Figure out a different way you could determine how many squares there are in the figure, again without counting them all one-by-one. Briefly describe this other method:arrow_forward1. Without counting all of the squares one by one, determine how many squares there are in the figure shown. Briefly describe your method.arrow_forward54, and 68 e Problem (10 point. in standard form (a + bi): 2+i √√3-2i ksgiving Problem (2 ion to reveal Mr. Erdman's favoriarrow_forward
- 1 2 5. Let S = 0 0 statements is true? and consider the subset W = {A Є M22 | SA = AS}. Which one of the following A. W is not a subspace of M22 = 4 B. W is a subspace of M22, and dim W C. W is a subspace of M22, and dim W = 3 D. W is a subspace of M22, and dim W = 2 E. W is a subspace of M22, and dim W = 1 F. W is a subspace of M22, and dim W = 0arrow_forwardA tablet computer has a 1 inch border of plastic around the screen. What is the area of the plastic border?arrow_forwardPlease answer with the correct answer only for each question.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning
Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
Elements Of Modern AlgebraAlgebraISBN:9781285463230Author:Gilbert, Linda, JimmiePublisher:Cengage Learning,
Trigonometry (MindTap Course List)TrigonometryISBN:9781305652224Author:Charles P. McKeague, Mark D. TurnerPublisher:Cengage Learning
Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:9781337278461
Author:Ron Larson
Publisher:Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Elements Of Modern Algebra
Algebra
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Cengage Learning,
Trigonometry (MindTap Course List)
Trigonometry
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Complex Numbers In Polar - De Moivre's Theorem; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=J6TnZxUUzqU;License: Standard YouTube License, CC-BY