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
expand_more
expand_more
format_list_bulleted
Question
Chapter 8.5A, Problem 9A
To determine
The area and perimeter of rectangle formed by perpendicular from point
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
No chatgpt pls will upvote
The roots of the equation -1÷2 and -3÷2 . Find the values a,b and c
A box contains 5 red ,3 yellow and 12 blue biro pens .2 biro pens are picked at random without replacement.find the probability that one of the biros picked was blue
Chapter 8 Solutions
A Problem Solving Approach to Mathematics for Elementary School Teachers (12th Edition)
Ch. 8.1 - Use the fact that each prime in the prime...Ch. 8.1 - Find the value of 3 on a calculator. Explain why...Ch. 8.1 - Is it true that a+b=a+b for all a and b? If not,...Ch. 8.1 - The number 227 can be written as an infinite...Ch. 8.1 - a. Use the fact that if a prime p appears in the...Ch. 8.1 - Without using a calculator, order the following....Ch. 8.1 - a. To prove that 2335 a student wrote the...Ch. 8.1 - The sequence 1,1.01,1.001,1.0001,... is an...Ch. 8.1 - Let each number of a group choose a number between...Ch. 8.1 - Prob. 11MC
Ch. 8.1 - Connecting Mathematics to the Classroom Jim asked,...Ch. 8.1 - Connecting Mathematics to the Classroom A student...Ch. 8.1 - Prob. 14MCCh. 8.1 - A student says that she saw online that the...Ch. 8.1 - Prob. 16MCCh. 8.1 - Jose says that the equation x=3 has no solution,...Ch. 8.1 - MATHEMATICAL CONNECTIONS A student wants to know...Ch. 8.1A - Write an irrational number whose digit are 2s and...Ch. 8.1A - Use the Pythagorean Theorem to find the value of...Ch. 8.1A - Arrange the following real numbers in order from...Ch. 8.1A - Determine which of the following if any represent...Ch. 8.1A - If possible, find the each of the following...Ch. 8.1A - Find the Approximate square root of each of the...Ch. 8.1A - Classify each of the following statements as true...Ch. 8.1A - Find the irrational numbers between each of the...Ch. 8.1A - Based on your answer in exercise 8, argue that...Ch. 8.1A - If R is the set of real number, Q is the set of...Ch. 8.1A - ASSESSMENT The letters in the following table...Ch. 8.1A - ASSESSMENT The letters in the following table...Ch. 8.1A - ASSESSMENT Determine for what real number values...Ch. 8.1A - ASSESSMENT Write each of the following roots in...Ch. 8.1A - ASSESSMENT Write each of the following in the...Ch. 8.1A - Prob. 16ACh. 8.1A - ASSESSMENT The expression 21016t approximates the...Ch. 8.1A - Prob. 18ACh. 8.1A - ASSESSMENT In each of the following, find all real...Ch. 8.1A - ASSESSMENT Write an equation in x not involving...Ch. 8.1A - Prob. 21ACh. 8.1A - ASSESSMENT Determine which of the following are...Ch. 8.1B - Prob. 1ACh. 8.1B - Prob. 2ACh. 8.1B - Prob. 3ACh. 8.1B - Prob. 4ACh. 8.1B - Prob. 5ACh. 8.1B - Prob. 6ACh. 8.1B - Prob. 7ACh. 8.1B - Prob. 8ACh. 8.1B - If R is the set of real numbers, Q is the set of...Ch. 8.1B - The letters in the table correspond to the sets...Ch. 8.1B - Prob. 12ACh. 8.1B - Prob. 13ACh. 8.1B - Prob. 14ACh. 8.1B - Prob. 15ACh. 8.1B - Prob. 17ACh. 8.1B - Prob. 18ACh. 8.1B - In each of the following, find all real numbers x...Ch. 8.1B - Prob. 20ACh. 8.2 - Student were asked to write an algebraic...Ch. 8.2 - a. Choose seven consecutive term in any arithmetic...Ch. 8.2 - A teacher instructed her class as follows: Take...Ch. 8.2 - A teacher instructed her class to take any number...Ch. 8.2 - Give an example of geometric sequence whose first...Ch. 8.2 - Prob. 6MCCh. 8.2 - Prob. 7MCCh. 8.2 - A student wonders if sets can ever be considered...Ch. 8.2 - A student thinks that if A and B are sets, then...Ch. 8.2 - A student wants to know how can she prove that a...Ch. 8.2 - Prob. 11MCCh. 8.2 - Prob. 12MCCh. 8.2 - Prob. 13MCCh. 8.2 - Prob. 14MCCh. 8.2 - Find all integers n such that n503n+1.Ch. 8.2 - Prob. 1NAEPCh. 8.2 - 2+n 5 3+n 6 4+n 7 5+n 8 What number does n...Ch. 8.2 - A. If c and d are different prime numbers less...Ch. 8.2A - Translate the following phrases into algebraic...Ch. 8.2A - Prob. 2ACh. 8.2A - In the tile pattern sequence of figures shown,...Ch. 8.2A - In the following descriptions, write an expression...Ch. 8.2A - In a college, there are P professors and S...Ch. 8.2A - Suppose a class has g girls and b boys, and there...Ch. 8.2A - Ryan is building matchstick sequences as shown....Ch. 8.2A - Prob. 8ACh. 8.2A - For a particular event, a student pays 5 per...Ch. 8.2A - Prob. 10ACh. 8.2A - In each of the following arithmetic sequences,...Ch. 8.2A - Prob. 12ACh. 8.2A - Find the first term and the difference in an...Ch. 8.2A - Prob. 14ACh. 8.2A - A ball is dropped from a height of 10 ft and...Ch. 8.2A - Jake bought contact lenses and was told to wear...Ch. 8.2A - In a Fibonacci-like sequence, the first term is 2,...Ch. 8.2B - Translate the following phrases into algebraic...Ch. 8.2B - Prob. 2ACh. 8.2B - Discover a possible tile pattern in the following...Ch. 8.2B - In the following descriptions, write an expression...Ch. 8.2B - Prob. 5ACh. 8.2B - Suppose there are c chairs and t tables in a...Ch. 8.2B - Prob. 7ACh. 8.2B - Prob. 8ACh. 8.2B - For a particular event, students pay d per ticket...Ch. 8.2B - Matt has twice as many as stickers as David. If...Ch. 8.2B - Prob. 11ACh. 8.2B - Prob. 12ACh. 8.2B - Prob. 13ACh. 8.2B - Prob. 14ACh. 8.2B - A ball is dropped from a height of 20 meters and...Ch. 8.2B - Consider the following arithmetic sequences....Ch. 8.3 - Students were asked to find three consecutive...Ch. 8.3 - Prob. 2MCCh. 8.3 - Prob. 3MCCh. 8.3 - Prob. 4MCCh. 8.3 - Create an equation with x on both sides of the...Ch. 8.3 - Prob. 6MCCh. 8.3 - Prob. 7MCCh. 8.3 - Prob. 8MCCh. 8.3 - Prob. 9MCCh. 8.3 - Prob. 10MCCh. 8.3 - Prob. 11MCCh. 8.3 - Prob. 12MCCh. 8.3 - Prob. 13MCCh. 8.3 - Prob. 14MCCh. 8.3 - Prob. 15MCCh. 8.3 - Write an algebraic equation relating the variables...Ch. 8.3 - a. Show that the sum of every three consecutive...Ch. 8.3 - Prob. 18MCCh. 8.3 - Prob. 19MCCh. 8.3 - Prob. 1NAEPCh. 8.3 - Prob. 2NAEPCh. 8.3A - Consider the balances: What is the value of each...Ch. 8.3A - Solve each of the following if x is a real number....Ch. 8.3A - Ryan is building a matchstick square sequences so...Ch. 8.3A - For a particular event, 812 tickets were sold for...Ch. 8.3A - An estate of 486,000 is left to three siblings....Ch. 8.3A - A 10 ft board is to be cut into three pieces, two...Ch. 8.3A - Prob. 7ACh. 8.3A - Miriam is 10 years older than Ricardo. Two years...Ch. 8.3A - In a college, 20 times as many undergraduate...Ch. 8.3A - A farmer has 1200 yd of fencing to enclose a...Ch. 8.3A - The sum of three consecutive terms in the...Ch. 8.3A - Prob. 12ACh. 8.3B - Consider the following balances: a. Which shape...Ch. 8.3B - Prob. 2ACh. 8.3B - Prob. 3ACh. 8.3B - Prob. 4ACh. 8.3B - Prob. 5ACh. 8.3B - Prob. 6ACh. 8.3B - Prob. 7ACh. 8.3B - Prob. 8ACh. 8.3B - Prob. 9ACh. 8.3B - Prob. 10ACh. 8.3B - Prob. 11ACh. 8.3B - Prob. 12ACh. 8.4 - Prob. 1MCCh. 8.4 - Prob. 2MCCh. 8.4 - If S is the set of students in Ms. Carmels class,...Ch. 8.4 - Answer the following about f(x)=2x, an exponential...Ch. 8.4 - Prob. 6MCCh. 8.4 - Prob. 9MCCh. 8.4 - Prob. 10MCCh. 8.4 - Prob. 11MCCh. 8.4 - Prob. 12MCCh. 8.4 - Prob. 13MCCh. 8.4 - Prob. 16MCCh. 8.4 - Prob. 17MCCh. 8.4 - Prob. 18MCCh. 8.4 - Prob. 19MCCh. 8.4 - Prob. 20MCCh. 8.4 - Prob. 21MCCh. 8.4 - Prob. 22MCCh. 8.4 - Prob. 23MCCh. 8.4 - Prob. 24MCCh. 8.4 - Prob. 25MCCh. 8.4 - Prob. 1NAEPCh. 8.4 - Prob. 2NAEPCh. 8.4 - Prob. 3NAEPCh. 8.4A - Prob. 1ACh. 8.4A - Which of the following are function from the set...Ch. 8.4A - a. Draw an arrow diagram of a function with domain...Ch. 8.4A - Suppose f(x)=2x+1 and the domain {0,1,2,3,4}....Ch. 8.4A - Prob. 5ACh. 8.4A - a. Make an arrow diagram for each of the...Ch. 8.4A - The dosage of a certain drug is related to the...Ch. 8.4A - For each of the following, guess what might be...Ch. 8.4A - Quick-Talk advertises monthly cellualr...Ch. 8.4A - For each of the following sequenceseither...Ch. 8.4A - Consider the following two function machines. Find...Ch. 8.4A - In problem 11, find the all inputs for which the...Ch. 8.4A - a. Repeat exercise 11 when the bottom machine...Ch. 8.4A - Consider the function f(x)=x+b, where b is a...Ch. 8.4A - Let t(n) represent the nth term of a sequence for...Ch. 8.4A - Prob. 16ACh. 8.4A - Consider a function machine that accepts inputs as...Ch. 8.4A - The following graph shows the relationship between...Ch. 8.4A - A ball is shot out of a cannon at ground level....Ch. 8.4A - Prob. 20ACh. 8.4A - Prob. 21ACh. 8.4A - Which of the following equations or inequalities...Ch. 8.4A - Which of the following are graphs of fucntions and...Ch. 8.4A - Prob. 24ACh. 8.4A - Prob. 25ACh. 8.4A - Prob. 26ACh. 8.4B - Prob. 1ACh. 8.4B - Prob. 2ACh. 8.4B - Prob. 4ACh. 8.4B - Prob. 5ACh. 8.4B - Prob. 6ACh. 8.4B - Prob. 7ACh. 8.4B - Prob. 8ACh. 8.4B - Prob. 9ACh. 8.4B - Prob. 10ACh. 8.4B - Prob. 11ACh. 8.4B - In problem 11, find the all inputs for which the...Ch. 8.4B - Prob. 13ACh. 8.4B - Prob. 14ACh. 8.4B - Prob. 15ACh. 8.4B - Prob. 16ACh. 8.4B - Prob. 17ACh. 8.4B - Prob. 18ACh. 8.4B - Prob. 19ACh. 8.4B - Prob. 20ACh. 8.4B - Assume the pattern continues for each of the...Ch. 8.4B - Prob. 22ACh. 8.4B - Prob. 23ACh. 8.4B - Prob. 24ACh. 8.4B - Prob. 25ACh. 8.4B - Prob. 26ACh. 8.4B - Prob. 27ACh. 8.5 - In this chapter, an arithmetic sequence was...Ch. 8.5 - Prob. 2MCCh. 8.5 - Prob. 3MCCh. 8.5 - Prob. 4MCCh. 8.5 - Prob. 5MCCh. 8.5 - Prob. 6MCCh. 8.5 - Prob. 7MCCh. 8.5 - Prob. 8MCCh. 8.5 - A student would like to know why it is impossible...Ch. 8.5 - Prob. 12MCCh. 8.5 - Prob. 13MCCh. 8.5 - Janis noticed that in the simultaneous equations...Ch. 8.5 - Prob. 15MCCh. 8.5 - Prob. 16MCCh. 8.5 - Prob. 17MCCh. 8.5 - Prob. 18MCCh. 8.5 - Prob. 19MCCh. 8.5 - Prob. 20MCCh. 8.5 - Prob. 1NAEPCh. 8.5 - Prob. 2NAEPCh. 8.5A - The graph of y=mx is given in the following...Ch. 8.5A - Prob. 2ACh. 8.5A - Find the x-intercept and y-intercept for the...Ch. 8.5A - In the following figure, part i shows a dual-scale...Ch. 8.5A - Write each of the following equations in...Ch. 8.5A - For each of the following, write the equation of...Ch. 8.5A - Find the coordinates of two other collinear points...Ch. 8.5A - Prob. 8ACh. 8.5A - Prob. 9ACh. 8.5A - Find the equation for each of the following lines....Ch. 8.5A - For each of the following, find the slope, if...Ch. 8.5A - Write the equation of each line in exercise 11....Ch. 8.5A - Prob. 13ACh. 8.5A - The lines AB and BC shown in the figure are graph...Ch. 8.5A - What do the graphs of the following equations have...Ch. 8.5A - Suppose a car is travelling at constant speed of...Ch. 8.5A - Solve each of the following systems, if possible....Ch. 8.5A - The owner of a 5000-gal oil truck loads the truck...Ch. 8.5A - Josephines bank contains 27 coins. If all the...Ch. 8.5B - Prob. 2ACh. 8.5B - ASSESSMENT 8-4B Find the x-intercept and...Ch. 8.5B - Prob. 4ACh. 8.5B - Prob. 5ACh. 8.5B - Prob. 6ACh. 8.5B - ASSESSMENT 8-4B Find the coordinates of two other...Ch. 8.5B - Prob. 8ACh. 8.5B - Prob. 9ACh. 8.5B - ASSESSMENT 8-4B Find the equation for each of the...Ch. 8.5B - ASSESSMENT 8-4B For each of the following, find...Ch. 8.5B - ASSESSMENT 8-4B Write the equation of each line in...Ch. 8.5B - Prob. 13ACh. 8.5B - Prob. 14ACh. 8.5B - Prob. 15ACh. 8.5B - Prob. 16ACh. 8.5B - Solve each of the following systems, if possible....Ch. 8.CR - Chapter 7 Review Classify each of the following as...Ch. 8.CR - Prob. 2CRCh. 8.CR - Chapter 7 Review Answer each of the following and...Ch. 8.CR - Prob. 4CRCh. 8.CR - Approximate 23 to two decimal places by using the...Ch. 8.CR - Each of the following is a geometric sequence....Ch. 8.CR - Prob. 7CRCh. 8.CR - Prob. 8CRCh. 8.CR - There are 13 times as many students as professors...Ch. 8.CR - Prob. 10CRCh. 8.CR - Write an equation to find the number of feet given...Ch. 8.CR - The sum of n whole numbers is S. If each number is...Ch. 8.CR - I am thinking a whole number. If I divide it by...Ch. 8.CR - a. Think of a number. Add 17. Double the result....Ch. 8.CR - Find all the values of x that satisfy the...Ch. 8.CR - Mike has 3 times as many baseball cards as Jordan,...Ch. 8.CR - Jeannie has 10 books overdue at the library. She...Ch. 8.CR - Three children deliver all the newspapers in a...Ch. 8.CR - Which of the following sets of ordered pairs are...Ch. 8.CR - Prob. 20CRCh. 8.CR - Prob. 21CRCh. 8.CR - Prob. 22CRCh. 8.CR - Prob. 23CRCh. 8.CR - Prob. 24CRCh. 8.CR - Prob. 25CRCh. 8.CR - Graph each of the following equations: a. y=-2x+5...Ch. 8.CR - Prob. 27CRCh. 8.CR - Prob. 28CRCh. 8.CR - Prob. 29CRCh. 8 - Prob. 1NTCh. 8 - Prob. 2NTCh. 8 - Prob. 4NTCh. 8 - Prob. 5NTCh. 8 - Prob. 6NTCh. 8 - NOW TRY THIS Solve the Newspaper Delivery problem...Ch. 8 - NOW TRY THIS Determine which of the following are...Ch. 8 - Prob. 9NTCh. 8 - Prob. 10NTCh. 8 - Prob. 11NTCh. 8 - NOW TRY THIS a. Use the slope formula to find the...Ch. 8 - Prob. 13NT
Knowledge Booster
Similar questions
- Simply:(p/(x-a))-(p/(x+a))arrow_forwardMake M the subject: P=2R(M/√M-R)arrow_forwardExercice 2: Soit & l'ensemble des nombres réels. Partie A Soit g la fonction définie et dérivable sur R telle que, pour tout réel x. g(x) = - 2x ^ 3 + x ^ 2 - 1 1. a) Étudier les variations de la fonction g b) Déterminer les limites de la fonction gen -oo et en +00. 2. Démontrer que l'équation g(x) = 0 admet une unique solution dans R, notée a, et que a appartient à | - 1 ;0|. 3. En déduire le signe de g sur R. Partie B Soit ƒ la fonction définie et dérivable sur R telle que, pour tout réel s. f(x) = (1 + x + x ^ 2 + x ^ 3) * e ^ (- 2x + 1) On note f la fonction dérivée de la fonction ƒ sur R. 1. Démontrer que lim x -> ∞ f(x) = - ∞ 2. a) Démontrer que, pour tout x > 1 1 < x < x ^ 2 < x ^ 3 b) En déduire que, pour x > 1 0 < f(x) < 4x ^ 3 * e ^ (- 2x + 1) c) On admet que, pour tout entier naturel n. lim x -> ∞ x ^ n * e ^ (- x) = 0 Vérifier que, pour tout réel x, 4x ^ 3 * e ^ (- 2x + 1) = e/2 * (2x) ^ 3 * e ^ (-2x) puis montrer que: lim x -> ∞ 4x ^ 3 * e…arrow_forward
- Please explain the pass-to-passarrow_forwardMinistry of Higher Education & Scientific Research Babylon University College of Engineering - Al musayab Automobile Department Subject :Engineering Analysis Time: 2 hour Date:27-11-2022 کورس اول تحليلات تعمیر ) 1st month exam / 1st semester (2022-2023)/11/27 Note: Answer all questions,all questions have same degree. Q1/: Find the following for three only. 1- 4s C-1 (+2-3)2 (219) 3.0 (6+1)) (+3+5) (82+28-3),2- ,3- 2-1 4- Q2/:Determine the Laplace transform of the function t sint. Q3/: Find the Laplace transform of 1, 0≤t<2, -2t+1, 2≤t<3, f(t) = 3t, t-1, 3≤t 5, t≥ 5 Q4: Find the Fourier series corresponding to the function 0 -5arrow_forwardQ1lal Let X be an arbitrary infinite set and let r the family of all subsets F of X which do not contain a particular point x, EX and the complements F of all finite subsets F of X show that (X.r) is a topology. bl The nbhd system N(x) at x in a topological space X has the following properties NO- N(x) for any xX N1- If N EN(x) then x€N N2- If NEN(x), NCM then MeN(x) N3- If NEN(x), MEN(x) then NOMEN(x) N4- If N = N(x) then 3M = N(x) such that MCN then MeN(y) for any уем Show that there exist a unique topology τ on X. Q2\a\let (X,r) be the topology space and BST show that ẞ is base for a topology on X iff for any G open set xEG then there exist A Eẞ such that x E ACG. b\Let ẞ is a collection of open sets in X show that is base for a topology on X iff for each xex the collection B, (BEB\xEB) is is a nbhd base at x. - Q31 Choose only two: al Let A be a subspace of a space X show that FCA is closed iff F KOA, K is closed set in X. الرياضيات b\ Let X and Y be two topological space and f:X -…arrow_forwardMinistry of Higher Education & Scientific Research Babylon University College of Engineering - Al musayab Automobile Department Subject :Engineering Analysis Time: 2 hour Date:27-11-2022 کورس اول تحليلات تعمیر ) 1st month exam / 1st semester (2022-2023)/11/27 Note: Answer all questions,all questions have same degree. Q1/: Find the following for three only. 1- 4s C-1 (+2-3)2 (219) 3.0 (6+1)) (+3+5) (82+28-3),2- ,3- 2-1 4- Q2/:Determine the Laplace transform of the function t sint. Q3/: Find the Laplace transform of 1, 0≤t<2, -2t+1, 2≤t<3, f(t) = 3t, t-1, 3≤t 5, t≥ 5 Q4: Find the Fourier series corresponding to the function 0 -5arrow_forwardSHU Pra S × (29 (29 Ful SH Fre SH Stu 1b | Stu M De rea Ma tea Tea | b An | filo Tea | filo Filo SH + OXFORD C talentcentral.eu.shl.com/player/testdriver/launch?s=61B06D43-1AC3-4353-8210-9DF5644C9747&from Launch=true ☆ V My Profile → Exit SHL Help▾ 09:21 Community Service Schedule Team A: 4 people Team B: 6 people Team C: 8 people 9 10 11 12 1 2 3 4 5 6 Question You are organizing a community service event today. At least 6 people must be working the event between 10 a.m.5 p.m. (the event is closed for an hour lunch break beginning at 12:00 p.m.). Schedule Team D to ensure adequate coverage throughout the day. Team D: 4 people 9 10 11 12 1 2 3 4 5 LQ Next 6 © 2025 SHL and/or its affiliates. All rights reserved.arrow_forwardQ1\ Let X be a topological space and let Int be the interior operation defined on P(X) such that 1₁.Int(X) = X 12. Int (A) CA for each A = P(X) 13. Int (int (A) = Int (A) for each A = P(X) 14. Int (An B) = Int(A) n Int (B) for each A, B = P(X) 15. A is open iff Int (A) = A Show that there exist a unique topology T on X. Q2\ Let X be a topological space and suppose that a nbhd base has been fixed at each x E X and A SCX show that A open iff A contains a basic nbdh of each its point Q3\ Let X be a topological space and and A CX show that A closed set iff every limit point of A is in A. A'S A ACA Q4\ If ẞ is a collection of open sets in X show that ẞ is a base for a topology on X iff for each x E X then ẞx = {BE B|x E B} is a nbhd base at x. Q5\ If A subspace of a topological space X, if x Є A show that V is nbhd of x in A iff V = Un A where U is nbdh of x in X.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_iosRecommended textbooks for you
Discrete Mathematics and Its Applications ( 8th I...MathISBN:9781259676512Author:Kenneth H RosenPublisher:McGraw-Hill Education
Mathematics for Elementary Teachers with Activiti...MathISBN:9780134392790Author:Beckmann, SybillaPublisher:PEARSON
Thinking Mathematically (7th Edition)MathISBN:9780134683713Author:Robert F. BlitzerPublisher:PEARSON
Discrete Mathematics With ApplicationsMathISBN:9781337694193Author:EPP, Susanna S.Publisher:Cengage Learning,
Pathways To Math Literacy (looseleaf)MathISBN:9781259985607Author:David Sobecki Professor, Brian A. MercerPublisher:McGraw-Hill Education
Discrete Mathematics and Its Applications ( 8th I...MathISBN:9781259676512Author:Kenneth H RosenPublisher:McGraw-Hill EducationMathematics for Elementary Teachers with Activiti...MathISBN:9780134392790Author:Beckmann, SybillaPublisher:PEARSONThinking Mathematically (7th Edition)MathISBN:9780134683713Author:Robert F. BlitzerPublisher:PEARSONDiscrete Mathematics With ApplicationsMathISBN:9781337694193Author:EPP, Susanna S.Publisher:Cengage Learning,Pathways To Math Literacy (looseleaf)MathISBN:9781259985607Author:David Sobecki Professor, Brian A. MercerPublisher:McGraw-Hill Education