Page 576 - Algebra 1

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Use the Pythagorean Theorem to find the missing side length. Give the answer in simplest radical form.
c
2
4
Find the vertical asymptote: y = _2.4
x + 4.5
+ 6.9.
Given that y varies inversely with x, identify the constant of variation when
x = 4 and y = 2.
Statistics In 2005 the population of North Dakota was about 635,000—a decrease
of about 7000 from five years earlier. The population of Wyoming in 2005 was 509,000—an increase of about 15,000 from five years earlier. If this trend continues, around what year will Wyoming’s population exceed North Dakota’s?
Sail Dimensions A main sail can be modeled by a right triangle whose sides are called the leach edge, the luff edge, and the foot. If the luff edge measures 27.5 feet and the foot measures 10 feet, use the Pythagorean Theorem to estimate the length of the leach edge to the nearest foot.
Leach edge
Foot
Luff edge
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Multi-Step In cooking school, Larissa learns that some foods should never be
kept in the “danger zone”: the temperature at which bacteria grow the fastest, potentially causing food poisoning. She learns that the danger zone is 5°C to 60°C.
a. Write an inequality that shows the temperatures that are in the danger zone in degrees Celsius.
22.
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c. Write an inequality to show at what temperature food should be kept in degrees Fahrenheit.
Verify Solve the inequality 24 < 2x + 6 < 36. Check to make sure that the equation really is an AND inequality.
b. Find an inequality that shows the temperatures that are in the danger zone in degrees Fahrenheit by substituting the expression _5 ( f - 32) for the variable
9 used in the inequality from part a, and then solve for f.
Lesson 85 561