The Environmental Protection Agency must visit nine factories for complaints of air pollution. In how many ways can a representative visit five of these to investigate this week? Since the representative's travel to visit the factories includes air travel, rental cars, etc., then the order of the visits will make a difference to the travel costs.

The number of ways is  

Step-by-step explanation:

From the question we are told that

   The number of factories visited is  

    The number of factories to be visited by a representative  r = 5

The number of way to visit the 5 factories is mathematically represented as

Where P represents  permutation

  =>  

 =>    

=>    

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9

answer: 180 degrees clockwise

step-by-step explanation: