Algebra Demystified 2nd Ed
426 algebra De mystif ieD ✔SOLUTIONS The area formula for a triangle is AB = ^12 H. The area is 12. The length of its base is t ...
Chapter 11 QuaDraTiC appliCaTionS 427 20 1 2 14 40 14 40 14 01440 0 2 2 =− =− =− =−− −= BB BB BB BB () () ()−−−− =− ++ =− + =− − ...
428 algebra De mystif ieD Because the can’s diameter is 6, the radius is 3. Let x represent the increase in the radius of the c ...
Chapter 11 QuaDraTiC appliCaTionS 429 A pizza’s shape is circular so we need the area formula for a circle which is A = or^2. T ...
430 algebra De mystif ieD “Stream” distance problems usually involve boats (traveling upstream or downstream) and planes (travel ...
Chapter 11 QuaDraTiC appliCaTionS 431 Pittsburgh to Miami is^1000 r + 50 . The time in the air from Miami to Pittsburgh plus th ...
432 algebra De mystif ieD A plane on a flight from Denver to Indianapolis flew with a 20-mph tailwind. On the return flight, th ...
Chapter 11 QuaDraTiC appliCaTionS 433 The plane’s average speed without the wind would have been about 320 mph. Let r represent ...
434 algebra De mystif ieD Let r represent the boat’s speed in still water. The average speed down- stream is r + 4 and the aver ...
Chapter 11 QuaDraTiC appliCaTionS 435 1000 20 000 1000 20 000 55 400 2000 55 rrr^2 rr −++=− = ,,.( ) .^22 2 2 2200 055 2000 2200 ...
436 algebra De mystif ieD If we need to find the distance between two bodies traveling at right angles away from each other, we ...
Chapter 11 QuaDraTiC appliCaTionS 437 () 40 () 30 10 1600 900 100 2500 100 1 222 22 2 2 tt tt t t += += = =^000 2500 100 2500 10 ...
438 algebra De mystif ieD ✔SOLUTIONS Let t represent the number of hours each has traveled. The plane’s distance after t hours ...
Chapter 11 QuaDraTiC appliCaTionS 439 Let t represent the number of hours after the joggers began jogging. The distance covered ...
440 algebra De mystif ieD Let t represent the number of hours after the cyclist crosses the track. The distance traveled by the ...
Chapter 11 QuaDraTiC appliCaTionS 441 ()()24 45 34 576 2025 1156 2601 1156 222 22 2 2 tt tt t t += += = == = = = 1156 2601 4 9 4 ...
442 algebra De mystif ieD Round-trip Problems In the following problems, people are making a round trip. The average speed in ea ...
Chapter 11 QuaDraTiC appliCaTionS 443 1 7 0 1 7 77 343 210 0114930 0511 2 2 () () ()( =−− =−− =− rr rr rr++ −= += 6 50 60 ) rr 1 ...
444 algebra De mystif ieD home is^6 r – 2 . The total time is 1 hour 21 minutes = 6021 = 207 = 11^2720 hours. The equation ...
Chapter 11 QuaDraTiC appliCaTionS 445 r=−− ±− −− = ±+ ()()()() () , 255 255 47 2700 27 255 65 025 75 2 ,, 600 , 14 255 140 625 1 ...
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