Determine the equations of the vertical and horizontal asymptotes, if any, for y=x^3/(x-2)^4
2 answers:
Answer:
x=2 is the vertical asymptote.
horizontal asymptote is y=0
Step-by-step explanation:
Find the vertical and horizontal asymptotes
To find out the vertical asymptote, we set the denominator =0 and solve for x
Take fourth root on both sides
Add 2 on both sides , so x=2 is the vertical asymptote.
To find horizontal asymptote , we look at the degree of both numerator and denominator
Degree of numerator is 3 and the degree of denominator is 4
When the degree of numerator is less than the degree of numerator then horizontal asymptote is y=0
Here, so the horizontal asymptote is y=0
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Answer:
608 ft²
Step-by-step explanation:
<u>1) Find the area of the bases</u>
where b is the base length and h is the height
Plug in b and h
Multiply the answer by 2 (because there are 2 bases)
A=96
Therefore, the area of the two bases is 96 ft².
<u>2) Find the area of the two sides facing up</u>
where l is the length and w is the width
Plug in l and w
Multiply the answer by 2 (because there are 2 sides)
A=320
Therefore, the area of these two sides is 320 ft².
<u>3) Find the area of the bottom side</u>
where l is the length and w is the width
Plug in l and w
Therefore, the area of this side is 192 ft².
<u>4) Add all the areas together</u>
96 ft² + 320 ft² + 192 ft²
= 608 ft²
Therefore, the surface area of the triangular prism is 608 ft².
I hope this helps!
The answer is 10.73 years.
Here, the formula we can use is :
(for the average)
Substitute the values mentioned in the question.
10.54 = (10.35 + Girls)/2
21.08 = 10.35 + Girls
Girls = 10.73 years