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Pre-Calc Homework Solutions 4

# Pre-Calc Homework Solutions 4 - a b c d e f and g h Then...

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45. Slope: k 5 } D D p d } 5 } 1 1 0 0 .9 0 4 2 2 0 1 }5} 9 1 . 0 9 0 4 } 5 0.0994 atmospheres per meter At 50 meters, the pressure is p 5 0.0994(50) 1 1 5 5.97 atmospheres. 46. (a) d ( t ) 5 45 t (b) [0, 6] by [ 2 50, 300] (c) The slope is 45, which is the speed in miles per hour. (d) Suppose the car has been traveling 45 mph for several hours when it is first observed at point P at time t 5 0. (e) The car starts at time t 5 0 at a point 30 miles past P . 47. (a) y 5 5632 x 2 11,080,280 (b) The rate at which the median price is increasing in dollars per year (c) y 5 2732 x 2 5,362,360 (d) The median price is increasing at a rate of about \$5632 per year in the Northeast, and about \$2732 per year in the Midwest. It is increasing more rapidly in the Northeast. 48. (a) Suppose x 8 F is the same as x 8 C. x 5 } 9 5 } x 1 32 1 1 2 } 9 5 } 2 x 5 32 2} 4 5 } x 5 32 x 52 40 Yes, 2 40 8 F is the same as 2 40 8 C. (b) [ 2 90, 90] by [ 2 60, 60] It is related because all three lines pass through the point ( 2 40, 2 40) where the Fahrenheit and Celsius temperatures are the same. 49. The coordinates of the three missing vertices are (5, 2), ( 2 1, 4) and ( 2 1, 2 2), as shown below. 50. Suppose that the vertices of the given quadrilateral are
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Unformatted text preview: ( a , b ), ( c , d ), ( e , f ), and ( g , h ). Then the midpoints of the consecutive sides are W 1 } a 1 2 c } , } b 1 2 d } 2 , X 1 } c 1 2 e } , } d 1 2 f } 2 , Y 1 } e 1 2 g } , } f 1 2 h } 2 , and Z 1 } g 1 2 a } , } h 1 2 b } 2 . When these four points are connected, the slopes of the sides of the resulting figure are: WX: 5 } e f 2 2 b a } XY: 5 } h g 2 2 d c } ZY: 5 } e f 2 2 b a } WZ: 5 } h g 2 2 d c } Opposite sides have the same slope and are parallel. } h 1 2 b } 2 } b 1 2 d } }} } g 1 2 a } 2 } a 1 2 c } } f 1 2 h } 2 } h 1 2 b } }} } e 1 2 g } 2 } g 1 2 a } } f 1 2 h } 2 } d 1 2 f } }} } e 1 2 g } 2 } c 1 2 e } } d 1 2 f } 2 } b 1 2 d } }} } c 1 2 e } 2 } a 1 2 c } y x ( a , b ) ( c , d ) ( e , f ) ( g , h ) W X Y Z y x 6 6 (–1, 1) (2, 0) (–1, –2) (2, 3) y x 6 6 (–1, 4) (2, 0) (–1, 1) (2, 3) y x 6 6 (2, 3) (2, 0) (–1, 1) (5, 2) 4 Section 1.1...
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