27) 12 13 28) 5 8 6 10 29) 16 30) 12 20 5 4 3 Find the lengths of the sides of each right triangle. 31) x 1 x 1 x 3, 4, 5 32) 3x 1 3x 1 2x 33) x 3 x 12 x 2 5, 12, 13 34) x 2x 1 x 7 8, 15, 17 6, 8, 10 Write an equation, and solve. 35) The longer leg of a right triangle is 2 cm more than the shorter leg. The length of the hypotenuse is 4 cm more than the shorter leg. Find the length of the hypotenuse. 10 cm 36) The hypotenuse of a right triangle is 1 in. longer than the longer leg. The shorter leg measures 7 in. less than the longer leg. Find the measure of the longer leg of the triangle. 12 in. 37) A 13-ft ladder is leaning against a wall. The distance from the top of the ladder to the bottom of the wall is 7 ft more than the distance from the bottom of the ladder to the wall. Find the distance from the bottom of the ladder to the wall. 5 ft Ladder x Wall 38) A wire is attached to the top of a pole. The wire is 4 ft longer than the pole, and the distance from the wire on the ground to the bottom of the pole is 4 ft less than the height of the pole. Find the length of the wire and the height of the pole. ire Pole length of wire 20 ft height of pole 16 ft Write an equation, and solve. 39) Lance and Alberto leave the same location with Lance heading due north and Alberto riding due east. When Alberto has ridden 4 miles, the distance between him and Lance is 2 miles more than Lance’s distance from the starting point. Find the distance between Lance and Alberto. 5 miles 40) A car heads east from an intersection while a motorcycle travels south. After 20 minutes, the car is 2 miles farther from the intersection than the motorcycle. The distance between the two vehicles is 4 miles more than the motorcycle’s distance from the intersection. What is the distance between the car and the motorcycle? 10 miles Intersection Car Motorcycle Objective 4: Solve Applied Problems Using Given Quadratic Equations Solve. 41) A rock is dropped from a cliff and into the ocean. The height h (in feet) of the rock after t sec is given by h 16t2 144. a) What is the initial height of the rock? 144 ft b) When is the rock 80 ft above the water? after 2 sec c) How long does it take the rock to hit the water? 3 sec 440 CHAPTER 7 Factoring Polynomials www.mhhe.com/messersmith
messersmith_power_introductory_algebra_1e_ch4_7_10
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