Can I get some help with question 12? I need to solve it while making a proof. I’ve asked at least 5 tutors for help and none of
them know what to do.
1 answer:
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Answer:
After 9 movies they will have paid the same amount
Step-by-step explanation:
We must write an equation for Duke's expenses and an equation to represent Tennessee's expenses.
<u>For Duke expenses we have:</u>
A fixed expense of $ 111.60 per year
A variable expense of $ 4.00 for each movie.
The equation that represents the expenses is a linear equation like the one shown below
Where C represents the cost and x the number of movies.
<u>For Tennessee expenses we have:</u>
A variable expense of $ 16.40 for each film.
The equation that represents the expenses is a linear equation like the one shown below
Where C represents the cost and x the number of movies.
To know after how many movies have paid the same amount, we equate both equations and solve the variable x
After 9 movies they will have paid the same amount
Answer:
Area of this parallelogram: 35.
Step-by-step explanation:
What's the equation for the area A of a parallelogram?
A = b · h,
where
- b is the length of the base, and
- h is the length of the height <em>on that base</em>.
Plot the four vertices on a cartesian plane. Two opposite sides of this parallelogram are parallel to the x-axis. As a result, the length of the base is the same as the difference in x-coordinates between two vertices on that side. As seen on the diagram, the length of this base is b = 2 - (-5) = 7.
The height on either of those two sides will be normal to the x-axis and parallel to the y-axis. The length of those heights will be the same as the difference in y-coordinates between two vertices, one on each line. As seen on the diagram, the length of the height on base <em>b</em> is h = 4 - (-1) = 5.
Area of this parallelogram:
A = b · h = 5 × 7 = 35.
