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Math FINITE MATH.F/MGRL....(LL)>CUSTOM PKG.<

Prove that if a line L 1 with slope m 1 is perpendicular to a line L 2 with slope m 2 , then m 1 m 2 = − 1 . Hint: Refer to the accompanying figure. Show that m 1 = b and m 2 = c . Next, apply the Pythagorean Theorem and the distance formula to the triangles O A C , O C B , and O B A to show that 1 = − b c .

Prove that if a line L 1 with slope m 1 is perpendicular to a line L 2 with slope m 2 , then m 1 m 2 = − 1 . Hint: Refer to the accompanying figure. Show that m 1 = b and m 2 = c . Next, apply the Pythagorean Theorem and the distance formula to the triangles O A C , O C B , and O B A to show that 1 = − b c .

Solution Summary: The author explains that the slope of two perpendicular lines is equal to -1.

FINITE MATH.F/MGRL....(LL)>CUSTOM PKG.<

FINITE MATH.F/MGRL....(LL)>CUSTOM PKG.<

11th Edition

ISBN: 9781337496094

Author: Tan

Publisher: CENGAGE C

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Textbook Question

Chapter 1.2, Problem 96E

Prove that if a line L 1 with slope m 1 is perpendicular to a line L 2 with slope m 2 , then m 1 m 2 = − 1 .

Hint: Refer to the accompanying figure. Show that m 1 = b and m 2 = c . Next, apply the Pythagorean Theorem and the distance formula to the triangles O A C , O C B , and O B A to show that 1 = − b c .

Chapter 1.2, Problem 96E, Prove that if a line L1 with slope m1 is perpendicular to a line L2 with slope m2, then m1m2=1.

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Chapter 1.2, Problem 95E

Chapter 1.2, Problem 1TE

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Chapter 1 Solutions

FINITE MATH.F/MGRL....(LL)>CUSTOM PKG.<

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. 1E Ch. 1.1 - Prob. 2E Ch. 1.1 - Prob. 3E Ch. 1.1 - Prob. 4E Ch. 1.1 - Prob. 5E Ch. 1.1 - Prob. 6E Ch. 1.1 - In Exercises 712, refer to the accompanying...Ch. 1.1 - Prob. 8E

Ch. 1.1 - Prob. 9E Ch. 1.1 - Prob. 10E Ch. 1.1 - Prob. 11E Ch. 1.1 - In Exercises 712, refer to the accompanying...Ch. 1.1 - Prob. 13E Ch. 1.1 - Prob. 14E Ch. 1.1 - Prob. 15E Ch. 1.1 - Prob. 16E Ch. 1.1 - Prob. 17E Ch. 1.1 - Prob. 18E Ch. 1.1 - Prob. 19E Ch. 1.1 - Prob. 20E Ch. 1.1 - Prob. 21E Ch. 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. 24E Ch. 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. 29E Ch. 1.1 - Prob. 30E Ch. 1.1 - Prob. 31E Ch. 1.1 - Prob. 32E Ch. 1.1 - Prob. 33E Ch. 1.1 - Prob. 34E Ch. 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. 40E Ch. 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. 47E Ch. 1.1 - Prob. 48E Ch. 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. 3CQ Ch. 1.2 - Prob. 4CQ Ch. 1.2 - Prob. 1E Ch. 1.2 - In Exercises 14, find the slope of the line shown...Ch. 1.2 - Prob. 3E Ch. 1.2 - Prob. 4E Ch. 1.2 - Prob. 5E Ch. 1.2 - For Exercises 510, find the slope of the line that...Ch. 1.2 - Prob. 7E Ch. 1.2 - Prob. 8E Ch. 1.2 - Prob. 9E Ch. 1.2 - In Exercise 5-10, find the slope of the line that...Ch. 1.2 - Prob. 11E Ch. 1.2 - Given the equation 2x+3y=4, answer the following...Ch. 1.2 - Prob. 13E Ch. 1.2 - Prob. 14E Ch. 1.2 - Prob. 15E Ch. 1.2 - Prob. 16E Ch. 1.2 - Prob. 17E Ch. 1.2 - Prob. 18E Ch. 1.2 - In Exercises 19 and 20, determine whether the...Ch. 1.2 - Prob. 20E Ch. 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. 26E Ch. 1.2 - In Exercises 2730, find an equation of the line...Ch. 1.2 - Prob. 28E Ch. 1.2 - In Exercises 2730, find an equation of the line...Ch. 1.2 - Prob. 30E Ch. 1.2 - In Exercises 31 and 32, determine whether the...Ch. 1.2 - Prob. 32E Ch. 1.2 - In Exercises 3336, find an equation of line that...Ch. 1.2 - Prob. 34E Ch. 1.2 - In Exercises 3336, find an equation of line that...Ch. 1.2 - Prob. 36E Ch. 1.2 - In Exercise 3742, write the equation in the...Ch. 1.2 - Prob. 38E Ch. 1.2 - In Exercise 3742, write the equation in the...Ch. 1.2 - Prob. 40E Ch. 1.2 - In Exercise 3742, write the equation in the...Ch. 1.2 - Prob. 42E Ch. 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. 45E Ch. 1.2 - Prob. 46E Ch. 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. 49E Ch. 1.2 - Prob. 50E Ch. 1.2 - Prob. 51E Ch. 1.2 - Prob. 52E Ch. 1.2 - In Exercises 5156, find an equation of the line...Ch. 1.2 - Prob. 54E Ch. 1.2 - In Exercises 51-56, find an equation of the line...Ch. 1.2 - Prob. 56E Ch. 1.2 - Given that the point P(3,5) lies on the line...Ch. 1.2 - Prob. 58E Ch. 1.2 - In Exercises 5964, sketch the straight line...Ch. 1.2 - Prob. 60E Ch. 1.2 - In Exercises 5964, sketch the straight line...Ch. 1.2 - Prob. 62E Ch. 1.2 - Prob. 63E Ch. 1.2 - Prob. 64E Ch. 1.2 - Prob. 65E Ch. 1.2 - Prob. 66E Ch. 1.2 - Prob. 67E Ch. 1.2 - Prob. 68E Ch. 1.2 - Prob. 69E Ch. 1.2 - Prob. 70E Ch. 1.2 - Prob. 71E Ch. 1.2 - John claims that the following points lie on a...Ch. 1.2 - Prob. 73E Ch. 1.2 - Prob. 74E Ch. 1.2 - NUCLEAR PLANT UTILIZATION The United States is not...Ch. 1.2 - Prob. 76E Ch. 1.2 - COLLEGE ADMISSIONS Using data compiled by the...Ch. 1.2 - WEIGHT OF WHALES The equation W=3.51L192,...Ch. 1.2 - Prob. 79E Ch. 1.2 - DECLINING NUMBER OF PAY PHONES As cell phones...Ch. 1.2 - Prob. 81E Ch. 1.2 - IDEAL HEIGHTS AND WEIGHTS FOR WOMEN The Venus...Ch. 1.2 - Prob. 83E Ch. 1.2 - CORPORATE FRAUD The number of pending corporate...Ch. 1.2 - Prob. 85E Ch. 1.2 - Prob. 86E Ch. 1.2 - Is there a difference between the statements "The...Ch. 1.2 - Prob. 88E Ch. 1.2 - Prob. 89E Ch. 1.2 - Prob. 90E Ch. 1.2 - Prob. 91E Ch. 1.2 - Prob. 92E Ch. 1.2 - Prob. 93E Ch. 1.2 - Prob. 94E Ch. 1.2 - Prob. 95E Ch. 1.2 - Prove that if a line L1 with slope m1 is...Ch. 1.2 - Prob. 1TE Ch. 1.2 - Prob. 2TE Ch. 1.2 - Prob. 3TE Ch. 1.2 - Prob. 4TE Ch. 1.2 - Prob. 5TE Ch. 1.2 - Prob. 6TE Ch. 1.2 - Prob. 7TE Ch. 1.2 - Prob. 8TE Ch. 1.2 - Prob. 9TE Ch. 1.2 - Prob. 10TE Ch. 1.2 - Prob. 11TE Ch. 1.2 - Prob. 12TE Ch. 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. 4E Ch. 1.3 - In Exercises 110, determine whether the equation...Ch. 1.3 - Prob. 6E 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 - 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. 15E Ch. 1.3 - Prob. 16E Ch. 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. 22E Ch. 1.3 - Prob. 23E Ch. 1.3 - LINEAR DEPRECIATION Suppose an asset has an...Ch. 1.3 - LINEAR DEPRECIATION OF AN OFFICE BUILDING Rework...Ch. 1.3 - Prob. 26E Ch. 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. 31E Ch. 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. 35E Ch. 1.3 - Prob. 36E Ch. 1.3 - Prob. 37E Ch. 1.3 - Prob. 38E Ch. 1.3 - DEMAND FUNCTION FOR A COMMODITY At a unit price...Ch. 1.3 - Prob. 40E Ch. 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. 43E Ch. 1.3 - Prob. 44E Ch. 1.3 - Prob. 45E Ch. 1.3 - Prob. 46E Ch. 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. 51E Ch. 1.3 - Prob. 52E Ch. 1.3 - Prob. 53E Ch. 1.3 - Prob. 54E Ch. 1.3 - Prob. 1TE Ch. 1.3 - Prob. 2TE Ch. 1.3 - Prob. 3TE Ch. 1.3 - Prob. 4TE Ch. 1.3 - Prob. 5TE Ch. 1.3 - Prob. 6TE Ch. 1.3 - Prob. 7TE Ch. 1.3 - Prob. 8TE Ch. 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. 21E Ch. 1.4 - For each pair of supply-and-demand equations in...Ch. 1.4 - Prob. 23E Ch. 1.4 - Prob. 24E Ch. 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. 30E Ch. 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. 34E Ch. 1.4 - Let L1 and L2 be two nonvertical straight lines in...Ch. 1.4 - Prob. 36E Ch. 1.4 - Prob. 1TE Ch. 1.4 - Prob. 2TE Ch. 1.4 - Prob. 3TE Ch. 1.4 - Prob. 4TE Ch. 1.4 - Prob. 5TE Ch. 1.4 - Prob. 6TE Ch. 1.4 - Prob. 7TE Ch. 1.4 - BREAK-EVEN ANALYSIS The Monde Company makes a wine...Ch. 1.4 - Prob. 9TE Ch. 1.4 - Prob. 10TE Ch. 1.4 - Prob. 11TE Ch. 1.4 - Prob. 12TE Ch. 1.5 - Explain the terms (a) scatter diagram (b)...Ch. 1.5 - Prob. 2CQ Ch. 1.5 - Prob. 1E Ch. 1.5 - Prob. 2E Ch. 1.5 - Prob. 3E Ch. 1.5 - Prob. 4E Ch. 1.5 - Prob. 5E Ch. 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. 8E Ch. 1.5 - Prob. 9E Ch. 1.5 - Prob. 10E Ch. 1.5 - Prob. 11E Ch. 1.5 - Prob. 12E Ch. 1.5 - Prob. 13E Ch. 1.5 - Prob. 14E Ch. 1.5 - Prob. 15E Ch. 1.5 - Prob. 16E Ch. 1.5 - Prob. 17E Ch. 1.5 - Prob. 18E Ch. 1.5 - Prob. 19E Ch. 1.5 - Prob. 20E Ch. 1.5 - Prob. 21E Ch. 1.5 - Prob. 22E Ch. 1.5 - BOUNCED-CHECK CHARGES Overdraft fees have become...Ch. 1.5 - Prob. 24E Ch. 1.5 - Prob. 25E Ch. 1.5 - Prob. 26E Ch. 1.5 - Prob. 27E Ch. 1.5 - Prob. 28E Ch. 1.5 - Prob. 29E Ch. 1.5 - Prob. 30E Ch. 1.5 - Prob. 1TE Ch. 1.5 - Prob. 2TE Ch. 1.5 - Prob. 3TE Ch. 1.5 - Prob. 4TE Ch. 1.5 - Prob. 5TE Ch. 1.5 - Prob. 6TE Ch. 1.5 - Prob. 7TE Ch. 1.5 - Prob. 8TE Ch. 1.5 - Prob. 9TE Ch. 1.5 - Prob. 10TE Ch. 1.CRQ - Prob. 1CRQ Ch. 1.CRQ - Prob. 2CRQ Ch. 1.CRQ - Prob. 3CRQ Ch. 1.CRQ - Prob. 4CRQ Ch. 1.CRQ - Prob. 5CRQ Ch. 1.CRQ - Prob. 6CRQ Ch. 1.CRQ - Prob. 7CRQ Ch. 1.CRQ - Prob. 8CRQ Ch. 1.CRQ - Prob. 9CRQ Ch. 1.CRQ - Prob. 10CRQ Ch. 1.CRQ - Prob. 11CRQ Ch. 1.CRQ - Prob. 12CRQ Ch. 1.CRE - Prob. 1CRE Ch. 1.CRE - Prob. 2CRE Ch. 1.CRE - Prob. 3CRE Ch. 1.CRE - Prob. 4CRE Ch. 1.CRE - Prob. 5CRE Ch. 1.CRE - Prob. 6CRE Ch. 1.CRE - Prob. 7CRE Ch. 1.CRE - Prob. 8CRE Ch. 1.CRE - Prob. 9CRE Ch. 1.CRE - Prob. 10CRE Ch. 1.CRE - Prob. 11CRE Ch. 1.CRE - Prob. 12CRE Ch. 1.CRE - Prob. 13CRE Ch. 1.CRE - Prob. 14CRE Ch. 1.CRE - Prob. 15CRE Ch. 1.CRE - Prob. 16CRE Ch. 1.CRE - Prob. 17CRE Ch. 1.CRE - Prob. 18CRE Ch. 1.CRE - Prob. 19CRE Ch. 1.CRE - Prob. 20CRE Ch. 1.CRE - Prob. 21CRE Ch. 1.CRE - Prob. 22CRE Ch. 1.CRE - Prob. 23CRE Ch. 1.CRE - Prob. 24CRE Ch. 1.CRE - Prob. 25CRE Ch. 1.CRE - Prob. 26CRE Ch. 1.CRE - PROFIT FUNCTION FOR DISPOSABLE CAMERAS A company...Ch. 1.CRE - Prob. 28CRE Ch. 1.CRE - Prob. 29CRE Ch. 1.CRE - Prob. 30CRE Ch. 1.CRE - SUPPLY EQUATION FOR BYCYCLES Bicycle suppliers...Ch. 1.CRE - DEMAND FOR EARBUD HEADPHONES The demand equation...Ch. 1.CRE - Prob. 33CRE Ch. 1.CRE - Prob. 34CRE Ch. 1.CRE - Prob. 35CRE Ch. 1.CRE - Prob. 36CRE Ch. 1.CRE - Prob. 37CRE Ch. 1.CRE - Prob. 38CRE Ch. 1.CRE - MARKET EQUILIBRIUM FOR REFRIGERATORS The demand...Ch. 1.CRE - Prob. 40CRE Ch. 1.CRE - EQUILIBRIUM QUANTITY AND PRICE FOR EARBUD...Ch. 1.CRE - Prob. 42CRE Ch. 1.BMO - Plot the points A(2,1) and B(3,4) on the same set...Ch. 1.BMO - Prob. 2BMO Ch. 1.BMO - Prob. 3BMO Ch. 1.BMO - Prob. 4BMO Ch. 1.BMO - Prob. 5BMO Ch. 1.BMO - Prob. 6BMO

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