Using structure determine whether the statements are

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Calculus
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Chapter 11 / Exercise 35
Calculus
Edwards/Larson
Expert Verified
32. USING STRUCTURE Determine whether the statements are true or false. Explain your reasoning. DAEHF B C a. B is between A and C . b. C is between B and E . c. D is between A and H . d. E is between C and F . 33. ERROR ANALYSIS Describe and correct the error in 34. ERROR ANALYSIS Describe and correct the error in 4). AB = (6 1) 2 + [2 ( 4)] 2 = 5 2 + 6 2 = 25 + 36 = 61 35. MODELING WITH MATHEMATICS The fi gure shows the position of three players during part of a water polo match. Player A throws the ball to Player B, who then throws the ball to Player C. x y 8 4 0 16 12 8 4 0 16 12 24 28 20 Distance (m) Distance (m) (18, 7) (24, 14) (8, 4) Player A Player B Player C a. How far did Player A throw the ball? Player B? b. How far would Player A have to throw the ball to throw it directly to Player C?
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Calculus
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Chapter 11 / Exercise 35
Calculus
Edwards/Larson
Expert Verified
18 Chapter 1 Basics of Geometry 36. MODELING WITH MATHEMATICS Your school is 20 blocks east and 12 blocks south of your house. The mall is 10 blocks north and 7 blocks west of your house. You plan on going to the mall right after school. Find the distance between your school and the mall assuming there is a road directly connecting the school and the mall. One block is 0.1 mile. 37. MATHEMATICAL CONNECTIONS Point S is between points R and T on RT . Use the information to write an equation in terms of x . Then solve the equation and fi nd RS , ST , and RT . a. RS = 2 x + 10 b. RS = 3 x 16 ST = x 4 ST = 4 x 8 RT = 21 RT = 60 c. RS = 2 x 8 d. RS = 4 x 9 ST = 11 ST = 19 RT = x + 10 RT = 8 x 14 38. THOUGHT PROVOKING Is it possible to design a table where no two legs have the same length? Assume that the endpoints of the legs must all lie in the same plane. Include a diagram as part of your answer. 39. MODELING WITH MATHEMATICS You have to walk from Room 103 to Room 117. 103 107 113 117 121 119 115 111 109 105 101 86 ft 22 ft a. How many feet do you travel from Room 103 to Room 117? b. You can walk 4.4 feet per second. How many minutes will it take you to get to Room 117? c. Why might it take you longer than the time in part   (b)? 40. MAKING AN ARGUMENT Your friend claims there is an easier way to find the length of a segment than the Distance Formula when the x-coordinates of the endpoints are equal. He claims all you have to do is subtract the y-coordinates. Do you agree with his statement? Explain your reasoning. 41. REASONING You travel from City X to City Y. You know that the round-trip distance is 647 miles. City Z, a city you pass on the way, is 27 miles from City X. Find the distance from City Z to City Y. Justify your answer.

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