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sweet-ann [11.9K]
3 years ago
14

Find the shaded area in the figure below. Then, explain the steps you used to find the area

Mathematics
1 answer:
Korolek [52]3 years ago
4 0

Answer:

650.

Step-by-step explanation:

ok so first multiply the Length and the width of the rectangle together to get its area, which is 500.

to find the area of the triangle, just multiple the length times the width (15 x 20) and divide it by two. You should get 150.

Add 150 and 500 together, and that's your total area:

650.

Have a nice day dude

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Considering the given function and the asymptote concept, we have that:

  • The vertical asymptote is of x = 25.
  • The horizontal asymptote is of y = 5.
  • The end behavior is that as x \rightarrow \infty, f(x) \rightarrow 5.

<h3>What are the asymptotes of a function f(x)?</h3>

  • The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.
  • The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity. Hence it also gives the end behavior of the function.

In this problem, the function is:

f(x) = \frac{5x}{x - 25}.

The vertical asymptote is found as follows:

x - 25 = 0 -> x = 25.

The horizontal asymptote is found as follows:

y = \lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} \frac{5x}{x - 25} = \lim_{x \rightarrow \infty} \frac{5x}{x} = \lim_{x \rightarrow \infty} 5 = 5.

Hence the end behavior is that as x \rightarrow \infty, f(x) \rightarrow 5.

More can be learned about asymptotes at brainly.com/question/16948935

#SPJ1

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