22 Find the equation of the line in the figure 89 10 23 Tayl

22. Find the equation of the line in the figure. (8,9) 10 23. Taylor drove from Bluesville to Greensburg at a speed of 60 mi/h. On the way back, he drove at 45 mi/h. The total trip took 52h of driving time. Find the distance between these two cities. The pressure of a sam ple of gas is directly proportional to the temperature T and inversely proportional to the volume V. Write an equation that expresses this fact if 50 L of gas exerts a pressure of 14 kPa at a temperature of 350 K (abšolute temperature measured on the Kelvin scale). 24· 2T 2V 50T (e) P=2TV 25·The cost for one print run of a book is Jointly proportional to the number of pages in the book and the number of books in the print run. Write an equation for the cost of a print run if it costs $20,000 to print 4000 copies of a 100-page book, and calculate the cost to print 400 copies of 293 page book.

Solution

22)

line passing through center of circle (5,5)

so line has 2 points (5,5),(8,9)

equation of line is

y-5=((9-5)_/(8-5))(x-5)

=>y=(4_/3)(x-5)+5

=>y=(4_/3)x-(20_/3)+5

=>y=(4_/3)x-(5_/3)

so the equation of line is y=(4_/3)x-(5_/3)

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23)

let the distance between the cities = d

total driving time =5³/₅ =28_/5 hours

time =distance_/velocity

=>(d_/60)+(d_/45)=(28_/5)

=>d((45+60)_/(60*45))=(28_/5)

=>d(105_/(60*45))=(28_/5)

=>d=(28_/5)*60*45*(1_/105)

=>d=144

distance between 2 cities is 144 miles

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