Student Solutions Manual for Tan's Finite Mathematics for the Managerial, Life, and Social Sciences, 11th
Student Solutions Manual for Tan's Finite Mathematics for the Managerial, Life, and Social Sciences, 11th
11th Edition
ISBN: 9781285845722
Author: Tan, Soo T.
Publisher: Cengage Learning
bartleby

Concept explainers

Family of Curves
A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These…
XZ Plane
In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are…
Euclidean Geometry
Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) ge…
Lines and Angles
In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.
bartleby

Videos

Question
Book Icon
Chapter 1.2, Problem 18E
To determine

To match:

The graph for the given statement.

Expert Solution & Answer
Check Mark

Want to see the full answer?

Check out a sample textbook solution
Blurred answer
Previous
Chapter 1.2, Problem 17E
Next
Chapter 1.2, Problem 19E
Students have asked these similar questions
५ (x² + 2x-y³) (16 x + 15) dy (x+2+y2) (x+2)3 =
(28 points) Define T: [0,1] × [−,0] → R3 by T(y, 0) = (cos 0, y, sin 0). Let S be the half-cylinder surface traced out by T. (a) (4 points) Calculate the normal field for S determined by T.
Question 21 of 28 (1 point) | Question Attempt: 5 of Unlimited Dorothy ✔ ✓ 12 ✓ 13 ✓ 14 ✓ 15 ✓ 16 ✓ 17 ✓ 18 ✓ 19 ✓ 20 = 21 22 > How many apps? According to a website, the mean number of apps on a smartphone in the United States is 82. Assume the number of apps is normally distributed with mean 82 and standard deviation 30. Part 1 of 2 (a) What proportion of phones have more than 47 apps? Round the answer to four decimal places. The proportion of phones that have more than 47 apps is 0.8783 Part: 1/2 Try again kip Part ی E Recheck == == @ W D 80 F3 151 E R C レ Q FA 975 % T B F5 10 の 000 园 Save For Later Submit Assignment © 2025 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility Y V& U H J N * 8 M I K O V F10 P = F11 F12 . d

Chapter 1 Solutions

Student Solutions Manual for Tan's Finite Mathematics for the Managerial, Life, and Social Sciences, 11th

Ch. 1.1 - What can you say about the signs of a and b if the...Ch. 1.1 - Refer to the accompanying figure. a. Given the...Ch. 1.1 - Prob. 1ECh. 1.1 - Prob. 2ECh. 1.1 - Prob. 3ECh. 1.1 - Prob. 4ECh. 1.1 - Prob. 5ECh. 1.1 - Prob. 6ECh. 1.1 - In Exercises 712, refer to the accompanying...Ch. 1.1 - Prob. 8E
Ch. 1.1 - Prob. 9ECh. 1.1 - Prob. 10ECh. 1.1 - Prob. 11ECh. 1.1 - In Exercises 712, refer to the accompanying...Ch. 1.1 - Prob. 13ECh. 1.1 - Prob. 14ECh. 1.1 - Prob. 15ECh. 1.1 - Prob. 16ECh. 1.1 - Prob. 17ECh. 1.1 - Prob. 18ECh. 1.1 - Prob. 19ECh. 1.1 - Prob. 20ECh. 1.1 - Prob. 21ECh. 1.1 - In Exercises 2124, find the distance between the...Ch. 1.1 - In Exercises 2124, find the distance between the...Ch. 1.1 - Prob. 24ECh. 1.1 - Find the coordinates of the points that are 10...Ch. 1.1 - Find the coordinates of the points that are 5...Ch. 1.1 - Show that the points (3,4), (3,7), (6,1) and (0,2)...Ch. 1.1 - Show that the triangle with vertices (5,2), (2,5),...Ch. 1.1 - Prob. 29ECh. 1.1 - Prob. 30ECh. 1.1 - Prob. 31ECh. 1.1 - Prob. 32ECh. 1.1 - Prob. 33ECh. 1.1 - Prob. 34ECh. 1.1 - TRACKING A CRIMINAL WITH GPS After obtaining a...Ch. 1.1 - PLANNING A GRAND TOUR A grand tour of four cities...Ch. 1.1 - WILL YOU INCUR A DELIVERY CHARGE? A furniture...Ch. 1.1 - OPTIMIZING TRAVEL TIME Towns A, B, C, and D are...Ch. 1.1 - MINIMIZING SHIPPING COSTS FOR A FLEET OF AUTOS...Ch. 1.1 - Prob. 40ECh. 1.1 - PURCHASING AN HDTV ANTENNA Will Barclay wishes to...Ch. 1.1 - DISTANCE BETWEEN TWO CRUISE SHIPS Two cruise ships...Ch. 1.1 - DISTANCE BETWEEN TWO CARGO SHIPS Sailing north at...Ch. 1.1 - WATHING A ROCKET LAUNCH At a distance of 4000 ft...Ch. 1.1 - a. Show that the midpoint of the line segment...Ch. 1.1 - A SCAVENGER HUNT A tree is located 20 yd to the...Ch. 1.1 - Prob. 47ECh. 1.1 - Prob. 48ECh. 1.1 - Let (x1,y1) and (x2,y2) be two points lying in the...Ch. 1.1 - In the Cartesian coordinate system, the two axes...Ch. 1.2 - What is the slope of a nonvertical line? What can...Ch. 1.2 - Give a point-slope form, b the slope-intercept...Ch. 1.2 - Prob. 3CQCh. 1.2 - Prob. 4CQCh. 1.2 - Prob. 1ECh. 1.2 - In Exercises 14, find the slope of the line shown...Ch. 1.2 - Prob. 3ECh. 1.2 - Prob. 4ECh. 1.2 - Prob. 5ECh. 1.2 - For Exercises 510, find the slope of the line that...Ch. 1.2 - Prob. 7ECh. 1.2 - Prob. 8ECh. 1.2 - Prob. 9ECh. 1.2 - In Exercise 5-10, find the slope of the line that...Ch. 1.2 - Prob. 11ECh. 1.2 - Given the equation 2x+3y=4, answer the following...Ch. 1.2 - Prob. 13ECh. 1.2 - Prob. 14ECh. 1.2 - Prob. 15ECh. 1.2 - Prob. 16ECh. 1.2 - Prob. 17ECh. 1.2 - Prob. 18ECh. 1.2 - In Exercises 19 and 20, determine whether the...Ch. 1.2 - Prob. 20ECh. 1.2 - If the line passing through the points (1,a) and...Ch. 1.2 - If the line passing through the points (a,1) and...Ch. 1.2 - In Exercises 2326, find an equation of the line...Ch. 1.2 - In Exercises 2326, find an equation of the line...Ch. 1.2 - In Exercises 2326, find an equation of the line...Ch. 1.2 - Prob. 26ECh. 1.2 - In Exercises 2730, find an equation of the line...Ch. 1.2 - Prob. 28ECh. 1.2 - In Exercises 2730, find an equation of the line...Ch. 1.2 - Prob. 30ECh. 1.2 - In Exercises 31 and 32, determine whether the...Ch. 1.2 - Prob. 32ECh. 1.2 - In Exercises 3336, find an equation of line that...Ch. 1.2 - Prob. 34ECh. 1.2 - In Exercises 3336, find an equation of line that...Ch. 1.2 - Prob. 36ECh. 1.2 - In Exercise 3742, write the equation in the...Ch. 1.2 - Prob. 38ECh. 1.2 - In Exercise 3742, write the equation in the...Ch. 1.2 - Prob. 40ECh. 1.2 - In Exercise 3742, write the equation in the...Ch. 1.2 - Prob. 42ECh. 1.2 - Find an equation of the horizontal line that...Ch. 1.2 - Find an equation of the vertical line that passes...Ch. 1.2 - Prob. 45ECh. 1.2 - Prob. 46ECh. 1.2 - Find an equation of the line that passes through...Ch. 1.2 - Find an equation of the line that passes through...Ch. 1.2 - Prob. 49ECh. 1.2 - Prob. 50ECh. 1.2 - Prob. 51ECh. 1.2 - Prob. 52ECh. 1.2 - In Exercises 5156, find an equation of the line...Ch. 1.2 - Prob. 54ECh. 1.2 - In Exercises 51-56, find an equation of the line...Ch. 1.2 - Prob. 56ECh. 1.2 - Given that the point P(3,5) lies on the line...Ch. 1.2 - Prob. 58ECh. 1.2 - In Exercises 5964, sketch the straight line...Ch. 1.2 - Prob. 60ECh. 1.2 - In Exercises 5964, sketch the straight line...Ch. 1.2 - Prob. 62ECh. 1.2 - Prob. 63ECh. 1.2 - Prob. 64ECh. 1.2 - Prob. 65ECh. 1.2 - Prob. 66ECh. 1.2 - Prob. 67ECh. 1.2 - Prob. 68ECh. 1.2 - Prob. 69ECh. 1.2 - Prob. 70ECh. 1.2 - Prob. 71ECh. 1.2 - John claims that the following points lie on a...Ch. 1.2 - Prob. 73ECh. 1.2 - Prob. 74ECh. 1.2 - NUCLEAR PLANT UTILIZATION The United States is not...Ch. 1.2 - Prob. 76ECh. 1.2 - COLLEGE ADMISSIONS Using data compiled by the...Ch. 1.2 - WEIGHT OF WHALES The equation W=3.51L192,...Ch. 1.2 - Prob. 79ECh. 1.2 - DECLINING NUMBER OF PAY PHONES As cell phones...Ch. 1.2 - Prob. 81ECh. 1.2 - IDEAL HEIGHTS AND WEIGHTS FOR WOMEN The Venus...Ch. 1.2 - Prob. 83ECh. 1.2 - CORPORATE FRAUD The number of pending corporate...Ch. 1.2 - Prob. 85ECh. 1.2 - Prob. 86ECh. 1.2 - Is there a difference between the statements "The...Ch. 1.2 - Prob. 88ECh. 1.2 - Prob. 89ECh. 1.2 - Prob. 90ECh. 1.2 - Prob. 91ECh. 1.2 - Prob. 92ECh. 1.2 - Prob. 93ECh. 1.2 - Prob. 94ECh. 1.2 - Prob. 95ECh. 1.2 - Prove that if a line L1 with slope m1 is...Ch. 1.2 - Prob. 1TECh. 1.2 - Prob. 2TECh. 1.2 - Prob. 3TECh. 1.2 - Prob. 4TECh. 1.2 - Prob. 5TECh. 1.2 - Prob. 6TECh. 1.2 - Prob. 7TECh. 1.2 - Prob. 8TECh. 1.2 - Prob. 9TECh. 1.2 - Prob. 10TECh. 1.2 - Prob. 11TECh. 1.2 - Prob. 12TECh. 1.3 - a. What is a function? Give an example. b. What is...Ch. 1.3 - What is the general form of a linear cost...Ch. 1.3 - Is the slope of a linear demand curve positive or...Ch. 1.3 - The value of an investment in dollars after t...Ch. 1.3 - In Exercises 110, determine whether the equation...Ch. 1.3 - In Exercises 110, determine whether the equation...Ch. 1.3 - In Exercises 110, determine whether the equation...Ch. 1.3 - Prob. 4ECh. 1.3 - In Exercises 110, determine whether the equation...Ch. 1.3 - Prob. 6ECh. 1.3 - In Exercises 110, determine whether the equation...Ch. 1.3 - In Exercises 110, determine whether the equation...Ch. 1.3 - In Exercises 110, determine whether the equation...Ch. 1.3 - In Exercises 110, determine whether the equation...Ch. 1.3 - A manufacturer has a monthly fixed cost of 40,000...Ch. 1.3 - A manufacturer has a monthly fixed cost of 10,000...Ch. 1.3 - Find the constants m and b in the linear function...Ch. 1.3 - Find the constants m and b in the linear function...Ch. 1.3 - Prob. 15ECh. 1.3 - Prob. 16ECh. 1.3 - CONSUMPTION FUNCTIONS A certain economys...Ch. 1.3 - SALES TAX In a certain state, the sales tax T on...Ch. 1.3 - SOCIAL SECURITY COLAs Social Security recipients...Ch. 1.3 - PROFIT FUNCTION FOR DIGITAL TIMERS Auto Time, a...Ch. 1.3 - PROFIT FUNCTION FOR LIGHT BULBS The management of...Ch. 1.3 - Prob. 22ECh. 1.3 - Prob. 23ECh. 1.3 - LINEAR DEPRECIATION Suppose an asset has an...Ch. 1.3 - LINEAR DEPRECIATION OF AN OFFICE BUILDING Rework...Ch. 1.3 - Prob. 26ECh. 1.3 - DRUG DOSAGES FOR CHILDREN A method sometime used...Ch. 1.3 - DRUG DOSAGES FOR CHILDREN Cowlings Rule is a...Ch. 1.3 - DRINKING AND DRIVING AMONG HIGH SCHOOL STUDENTS...Ch. 1.3 - CALIFORNIA EMISSIONS CAPS The California emissions...Ch. 1.3 - Prob. 31ECh. 1.3 - U.S. AIRPLANE PASSENGER PROJECTIONS In a report...Ch. 1.3 - CELSIUS AND FAHRENHEIT TEMPERATURES The...Ch. 1.3 - CRICKET CHIRPING AND TEMPERATURE Entomologists...Ch. 1.3 - Prob. 35ECh. 1.3 - Prob. 36ECh. 1.3 - Prob. 37ECh. 1.3 - Prob. 38ECh. 1.3 - DEMAND FUNCTION FOR A COMMODITY At a unit price...Ch. 1.3 - Prob. 40ECh. 1.3 - DEMAND FUNCTION FOR A COMMODITY Assume that a...Ch. 1.3 - DEMAND FUNCTION FOR A SPORTS WATCH The demand...Ch. 1.3 - Prob. 43ECh. 1.3 - Prob. 44ECh. 1.3 - Prob. 45ECh. 1.3 - Prob. 46ECh. 1.3 - SUPPLY FUNCTION FOR A DIGITAL RECORDER Suppliers...Ch. 1.3 - SUPPLY FUNCTION FOR A REFRIGERATOR Producers of a...Ch. 1.3 - DEMAND FOR WIRELESS LOUDSPEAKERS The demand...Ch. 1.3 - DEMAND FORWASHABLE COMPUTER KEYBOARDS The demand...Ch. 1.3 - Prob. 51ECh. 1.3 - Prob. 52ECh. 1.3 - Prob. 53ECh. 1.3 - Prob. 54ECh. 1.3 - Prob. 1TECh. 1.3 - Prob. 2TECh. 1.3 - Prob. 3TECh. 1.3 - Prob. 4TECh. 1.3 - Prob. 5TECh. 1.3 - Prob. 6TECh. 1.3 - Prob. 7TECh. 1.3 - Prob. 8TECh. 1.4 - Explain why you would expect that the intersection...Ch. 1.4 - In the accompanying figure, C(x) is the cost...Ch. 1.4 - The accompanying figure gives the demand curve and...Ch. 1.4 - In Exercises 16, find the point of intersection of...Ch. 1.4 - In Exercises 16, find the point of intersection of...Ch. 1.4 - In Exercises 16, find the point of intersection of...Ch. 1.4 - In Exercises 16, find the point of intersection of...Ch. 1.4 - In Exercises 1-6, find the point of intersection...Ch. 1.4 - In Exercises 16, find the point of intersection of...Ch. 1.4 - In Exercises 710, find the break-even point for...Ch. 1.4 - In Exercises 710, find the break-even point for...Ch. 1.4 - In Exercises 710, find the break-even point for...Ch. 1.4 - In Exercises 710, find the break-even point for...Ch. 1.4 - BREAK-EVEN ANALYSIS Auto Time, a manufacturer of...Ch. 1.4 - BREAK-EVEN ANALYSIS A division of Carter...Ch. 1.4 - BREAK-EVEN ANALYSIS A division of the Gibson...Ch. 1.4 - LEASING A TRUCK Ace Truck Leasing Company leases a...Ch. 1.4 - DECISION ANALYSIS A product may be made by using...Ch. 1.4 - ANNUAL SALES OF TWO PHARMACIES The annual sales of...Ch. 1.4 - LCDs VERSUS CRTs The global shipments of...Ch. 1.4 - DIGITAL VERSUS FILM CAMERAS The sales of digital...Ch. 1.4 - U.S. FINANCIAL TRANSACTIONS The percentage of U.S....Ch. 1.4 - BROADBAND VERSUS DIAL-UP The number of U.S....Ch. 1.4 - Prob. 21ECh. 1.4 - For each pair of supply-and-demand equations in...Ch. 1.4 - Prob. 23ECh. 1.4 - Prob. 24ECh. 1.4 - EQUILIBRIUM QUANTITY AND PRICE FOR DVD PLAYERS The...Ch. 1.4 - EQUILIBRIUM QUANTITY AND PRICE FOR GPS NAVIGATORS...Ch. 1.4 - 27. EQUILIBRIUM QUANTITY AND PRICE FOR TABLET...Ch. 1.4 - 28. EQUILIBRIUM QUANTITY AND PRICE FOR ESPRESSO...Ch. 1.4 - EQUILIBRIUM QUANTITY AND PRICE FOR WIRELESS...Ch. 1.4 - Prob. 30ECh. 1.4 - Suppose the demand and supply equations for a...Ch. 1.4 - Suppose the cost function associated with a...Ch. 1.4 - In Exercises 33 and 34, determine whether the...Ch. 1.4 - Prob. 34ECh. 1.4 - Let L1 and L2 be two nonvertical straight lines in...Ch. 1.4 - Prob. 36ECh. 1.4 - Prob. 1TECh. 1.4 - Prob. 2TECh. 1.4 - Prob. 3TECh. 1.4 - Prob. 4TECh. 1.4 - Prob. 5TECh. 1.4 - Prob. 6TECh. 1.4 - Prob. 7TECh. 1.4 - BREAK-EVEN ANALYSIS The Monde Company makes a wine...Ch. 1.4 - Prob. 9TECh. 1.4 - Prob. 10TECh. 1.4 - Prob. 11TECh. 1.4 - Prob. 12TECh. 1.5 - Explain the terms (a) scatter diagram (b)...Ch. 1.5 - Prob. 2CQCh. 1.5 - Prob. 1ECh. 1.5 - Prob. 2ECh. 1.5 - Prob. 3ECh. 1.5 - Prob. 4ECh. 1.5 - Prob. 5ECh. 1.5 - In Exercises 16, a find the equation of the least...Ch. 1.5 - COLLEGE ADMISSIONS The accompanying data were...Ch. 1.5 - Prob. 8ECh. 1.5 - Prob. 9ECh. 1.5 - Prob. 10ECh. 1.5 - Prob. 11ECh. 1.5 - Prob. 12ECh. 1.5 - Prob. 13ECh. 1.5 - Prob. 14ECh. 1.5 - Prob. 15ECh. 1.5 - Prob. 16ECh. 1.5 - Prob. 17ECh. 1.5 - Prob. 18ECh. 1.5 - Prob. 19ECh. 1.5 - Prob. 20ECh. 1.5 - Prob. 21ECh. 1.5 - Prob. 22ECh. 1.5 - BOUNCED-CHECK CHARGES Overdraft fees have become...Ch. 1.5 - Prob. 24ECh. 1.5 - Prob. 25ECh. 1.5 - Prob. 26ECh. 1.5 - Prob. 27ECh. 1.5 - Prob. 28ECh. 1.5 - Prob. 29ECh. 1.5 - Prob. 30ECh. 1.5 - Prob. 1TECh. 1.5 - Prob. 2TECh. 1.5 - Prob. 3TECh. 1.5 - Prob. 4TECh. 1.5 - Prob. 5TECh. 1.5 - Prob. 6TECh. 1.5 - Prob. 7TECh. 1.5 - Prob. 8TECh. 1.5 - Prob. 9TECh. 1.5 - Prob. 10TECh. 1.CRQ - Prob. 1CRQCh. 1.CRQ - Prob. 2CRQCh. 1.CRQ - Prob. 3CRQCh. 1.CRQ - Prob. 4CRQCh. 1.CRQ - Prob. 5CRQCh. 1.CRQ - Prob. 6CRQCh. 1.CRQ - Prob. 7CRQCh. 1.CRQ - Prob. 8CRQCh. 1.CRQ - Prob. 9CRQCh. 1.CRQ - Prob. 10CRQCh. 1.CRQ - Prob. 11CRQCh. 1.CRQ - Prob. 12CRQCh. 1.CRE - Prob. 1CRECh. 1.CRE - Prob. 2CRECh. 1.CRE - Prob. 3CRECh. 1.CRE - Prob. 4CRECh. 1.CRE - Prob. 5CRECh. 1.CRE - Prob. 6CRECh. 1.CRE - Prob. 7CRECh. 1.CRE - Prob. 8CRECh. 1.CRE - Prob. 9CRECh. 1.CRE - Prob. 10CRECh. 1.CRE - Prob. 11CRECh. 1.CRE - Prob. 12CRECh. 1.CRE - Prob. 13CRECh. 1.CRE - Prob. 14CRECh. 1.CRE - Prob. 15CRECh. 1.CRE - Prob. 16CRECh. 1.CRE - Prob. 17CRECh. 1.CRE - Prob. 18CRECh. 1.CRE - Prob. 19CRECh. 1.CRE - Prob. 20CRECh. 1.CRE - Prob. 21CRECh. 1.CRE - Prob. 22CRECh. 1.CRE - Prob. 23CRECh. 1.CRE - Prob. 24CRECh. 1.CRE - Prob. 25CRECh. 1.CRE - Prob. 26CRECh. 1.CRE - PROFIT FUNCTION FOR DISPOSABLE CAMERAS A company...Ch. 1.CRE - Prob. 28CRECh. 1.CRE - Prob. 29CRECh. 1.CRE - Prob. 30CRECh. 1.CRE - SUPPLY EQUATION FOR BYCYCLES Bicycle suppliers...Ch. 1.CRE - DEMAND FOR EARBUD HEADPHONES The demand equation...Ch. 1.CRE - Prob. 33CRECh. 1.CRE - Prob. 34CRECh. 1.CRE - Prob. 35CRECh. 1.CRE - Prob. 36CRECh. 1.CRE - Prob. 37CRECh. 1.CRE - Prob. 38CRECh. 1.CRE - MARKET EQUILIBRIUM FOR REFRIGERATORS The demand...Ch. 1.CRE - Prob. 40CRECh. 1.CRE - EQUILIBRIUM QUANTITY AND PRICE FOR EARBUD...Ch. 1.CRE - Prob. 42CRECh. 1.BMO - Plot the points A(2,1) and B(3,4) on the same set...Ch. 1.BMO - Prob. 2BMOCh. 1.BMO - Prob. 3BMOCh. 1.BMO - Prob. 4BMOCh. 1.BMO - Prob. 5BMOCh. 1.BMO - Prob. 6BMO
Knowledge Booster
Background pattern image
Math
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Text book image
PREALGEBRA
Algebra
ISBN:9781938168994
Author:OpenStax
Publisher:OpenStax
Text book image
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Text book image
Elementary Algebra
Algebra
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:OpenStax - Rice University
Text book image
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Text book image
Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell
SEE MORE TEXTBOOKS
Points, Lines, Planes, Segments, & Rays - Collinear vs Coplanar Points - Geometry; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=dDWjhRfBsKM;License: Standard YouTube License, CC-BY
Naming Points, Lines, and Planes; Author: Florida PASS Program;https://www.youtube.com/watch?v=F-LxiLSSaLg;License: Standard YouTube License, CC-BY