A Problem Solving Approach to Mathematics for Elementary School Teachers (12th Edition)
12th Edition
ISBN: 9780321987297
Author: Rick Billstein, Shlomo Libeskind, Johnny Lott
Publisher: PEARSON
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Chapter 13.4A, Problem 9A
To determine
To find:
Whether the given hexagon will tessellate a plane.
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Points z1 and z2 are shown on the graph.z1 is at (4 real,6 imaginary), z2 is at (-5 real, 2 imaginary)Part A: Identify the points in standard form and find the distance between them.Part B: Give the complex conjugate of z2 and explain how to find it geometrically.Part C: Find z2 − z1 geometrically and explain your steps.
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Prove that the symmetric matrix is diagonalizable. (Assume that a is real.)
0 0 a
A =
a 0
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P =
Which of the following statements is true? (Select all that apply.)
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A is diagonalizable because it has a determinant of 0.
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A polar curve is represented by the equation r1 = 7 + 4cos θ.Part A: What type of limaçon is this curve? Justify your answer using the constants in the equation.Part B: Is the curve symmetrical to the polar axis or the line θ = pi/2 Justify your answer algebraically.Part C: What are the two main differences between the graphs of r1 = 7 + 4cos θ and r2 = 4 + 4cos θ?
Chapter 13 Solutions
A Problem Solving Approach to Mathematics for Elementary School Teachers (12th Edition)
Ch. 13.1 - Prob. 1MCCh. 13.1 - Prob. 3MCCh. 13.1 - When a line is rotated about a point O, by angle ,...Ch. 13.1 - Prob. 6MCCh. 13.1 - Prob. 7MCCh. 13.1 - Prob. 8MCCh. 13.1 - A drawing of a cube, shown in the following...Ch. 13.1 - Wall stenciling has been used to obtain an effect...Ch. 13.1 - Prob. 11MCCh. 13.1 - Prob. 12MC
Ch. 13.1 - Prob. 13MCCh. 13.1 - Prob. 14MCCh. 13.1 - Prob. 15MCCh. 13.1 - Prob. 16MCCh. 13.1 - Prob. 19MCCh. 13.1 - Prob. 1NAEPCh. 13.1A - For each of the following, find the image of the...Ch. 13.1A - Construct the image BC under the translation...Ch. 13.1A - Find the coordinates of the image for each of the...Ch. 13.1A - Prob. 4ACh. 13.1A - Prob. 7ACh. 13.1A - Prob. 8ACh. 13.1A - If y=2x+3 is the image of the line k under the...Ch. 13.1A - Prob. 10ACh. 13.1A - Prob. 11ACh. 13.1A - Prob. 12ACh. 13.1A - a. Draw a line l and any two points A and B so...Ch. 13.1A - Prob. 14ACh. 13.1A - Prob. 15ACh. 13.1A - Prob. 16ACh. 13.1A - Prob. 18ACh. 13.1A - a. Use a drawing similar to Figure 19 to find the...Ch. 13.1A - Prob. 20ACh. 13.1A - Prob. 21ACh. 13.1A - Prob. 22ACh. 13.1A - Prob. 23ACh. 13.1A - Prob. 24ACh. 13.1A - Prob. 26ACh. 13.1B - Prob. 2ACh. 13.1B - Prob. 3ACh. 13.1B - Prob. 4ACh. 13.1B - Prob. 7ACh. 13.1B - Prob. 8ACh. 13.1B - Prob. 9ACh. 13.1B - Prob. 11ACh. 13.1B - Prob. 12ACh. 13.1B - Prob. 13ACh. 13.1B - Prob. 14ACh. 13.1B - Prob. 15ACh. 13.1B - Find the equation of the image of the line y=3x1...Ch. 13.1B - Prob. 20ACh. 13.1B - Prob. 21ACh. 13.1B - Prob. 22ACh. 13.2 - Prob. 1MCCh. 13.2 - Prob. 2MCCh. 13.2 - Prob. 3MCCh. 13.2 - Prob. 4MCCh. 13.2 - Prob. 5MCCh. 13.2 - Prob. 6MCCh. 13.2 - Andrea, a civil engineer, was asked to make a plan...Ch. 13.2 - Prob. 8MCCh. 13.2 - Prob. 9MCCh. 13.2 - Prob. 10MCCh. 13.2 - Prob. 11MCCh. 13.2 - Gloria claims that Sammis example in problem 14 is...Ch. 13.2 - Prob. 18MCCh. 13.2 - Prob. 19MCCh. 13.2 - Prob. 20MCCh. 13.2 - Prob. 22MCCh. 13.2 - Prob. 1NAEPCh. 13.2 - Prob. 2NAEPCh. 13.2 - Prob. 3NAEPCh. 13.2A - Assessment 14-2A Describe how to find the image of...Ch. 13.2A - Prob. 2ACh. 13.2A - Assessment 14-2A Determine the final result when...Ch. 13.2A - Prob. 4ACh. 13.2A - Assessment 14-2A a. Refer to the following figure...Ch. 13.2A - Prob. 6ACh. 13.2A - Assessment 14-2A Given ABC and its reflection...Ch. 13.2A - a. The word TOT is its own image when it is...Ch. 13.2A - Find the equation of the image of the line with...Ch. 13.2A - Prob. 10ACh. 13.2A - Decide whether a reflection, a translation, a...Ch. 13.2A - a. Conjecture what the image of a point with...Ch. 13.2A - Prob. 16ACh. 13.2A - Prob. 17ACh. 13.2A - Prob. 18ACh. 13.2A - Point P is the image of P not shown under a glide...Ch. 13.2A - Consider the glide reflection determined by the...Ch. 13.2B - Prob. 1ACh. 13.2B - Prob. 2ACh. 13.2B - Determine the final result when ABCis reflection...Ch. 13.2B - Prob. 4ACh. 13.2B - Prob. 6ACh. 13.2B - Prob. 7ACh. 13.2B - Prob. 8ACh. 13.2B - Prob. 9ACh. 13.2B - Prob. 10ACh. 13.2B - Prob. 11ACh. 13.2B - Prob. 12ACh. 13.2B - Prob. 13ACh. 13.2B - Prob. 14ACh. 13.2B - Prob. 15ACh. 13.2B - In which line will the two intersecting circles...Ch. 13.2B - Prob. 18ACh. 13.2B - If PQ is the image PQ not shown under a glide...Ch. 13.2B - Prob. 20ACh. 13.2B - Prob. 21ACh. 13.3 - Prob. 1MCCh. 13.3 - Prob. 2MCCh. 13.3 - Prob. 3MCCh. 13.3 - Prob. 5MCCh. 13.3 - Prob. 6MCCh. 13.3 - Prob. 7MCCh. 13.3 - Prob. 8MCCh. 13.3 - Prob. 9MCCh. 13.3 - Prob. 10MCCh. 13.3 - Prob. 11MCCh. 13.3 - Prob. 12MCCh. 13.3 - Prob. 13MCCh. 13.3 - Prob. 14MCCh. 13.3 - Prob. 15MCCh. 13.3 - Prob. 16MCCh. 13.3 - Prob. 17MCCh. 13.3A - In the following figures, describe a sequence of...Ch. 13.3A - Prob. 2ACh. 13.3A - In each of the following drawings, find...Ch. 13.3A - Prob. 4ACh. 13.3A - AB is the image of a candle AB produced by a box...Ch. 13.3A - Prob. 6ACh. 13.3A - Prob. 7ACh. 13.3A - a. Explain why in a coordinate system a dilation...Ch. 13.3A - Prob. 9ACh. 13.3A - Prob. 10ACh. 13.3A - Prob. 11ACh. 13.3A - Prob. 12ACh. 13.3B - Prob. 1ACh. 13.3B - Prob. 2ACh. 13.3B - Prob. 4ACh. 13.3B - Prob. 5ACh. 13.3B - Prob. 6ACh. 13.3B - Prob. 7ACh. 13.3B - Prob. 8ACh. 13.3B - Prob. 9ACh. 13.3B - Prob. 11ACh. 13.3B - Prob. 12ACh. 13.4 - The following figure is a partial tessellation of...Ch. 13.4 - Prob. 2MCCh. 13.4 - Prob. 3MCCh. 13.4 - Prob. 4MCCh. 13.4 - Prob. 5MCCh. 13.4 - Prob. 6MCCh. 13.4 - Prob. 7MCCh. 13.4 - Prob. 10MCCh. 13.4 - Prob. 11MCCh. 13.4 - Prob. 12MCCh. 13.4 - Prob. 13MCCh. 13.4 - Prob. 14MCCh. 13.4 - A student asks if the image seen through a...Ch. 13.4 - Jillian wants to know why a regular pentagon will...Ch. 13.4 - Prob. 18MCCh. 13.4 - Prob. 19MCCh. 13.4 - Prob. 20MCCh. 13.4 - Prob. 21MCCh. 13.4 - Prob. 22MCCh. 13.4 - What dilation, if any, allows a line with equation...Ch. 13.4 - Prob. 1NAEPCh. 13.4A - Prob. 1ACh. 13.4A - Prob. 2ACh. 13.4A - Prob. 3ACh. 13.4A - Prob. 4ACh. 13.4A - Prob. 5ACh. 13.4A - Prob. 6ACh. 13.4A - The dual of a regular tessellation is the...Ch. 13.4A - Prob. 8ACh. 13.4A - Prob. 9ACh. 13.4B - Prob. 6ACh. 13.4B - Prob. 7ACh. 13.CR - Complete each of the following motions. a. A...Ch. 13.CR - Prob. 2CRCh. 13.CR - Prob. 3CRCh. 13.CR - Prob. 4CRCh. 13.CR - Given that STAR in the figure shown is a...Ch. 13.CR - Prob. 6CRCh. 13.CR - Given that SNOSWO in the following figure,...Ch. 13.CR - Prob. 8CRCh. 13.CR - Prob. 9CRCh. 13.CR - Prob. 10CRCh. 13.CR - If a translation determined by (x,y)(x+3,y2) is...Ch. 13.CR - Prob. 12CRCh. 13.CR - Prob. 13CRCh. 13.CR - Prob. 14CRCh. 13.CR - Prob. 15CRCh. 13.CR - Prob. 16CRCh. 13.CR - Prob. 17CRCh. 13.CR - For each of the following cases, find the image of...Ch. 13.CR - Prob. 19CRCh. 13.CR - Prob. 21CRCh. 13.CR - On a 1-m equilateral triangle pool table, a ball...Ch. 13 - NOW TRY THIS In Figure 3 use a compass and...Ch. 13 - Prob. 2NTCh. 13 - Prob. 3NTCh. 13 - Prob. 5NTCh. 13 - Prob. 8NT
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