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Arturiano [62]
3 years ago
11

Find the perimeter of the figure. AND I'LL MAKE YOU THE BRAINIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
abruzzese [7]3 years ago
6 0

9514 1404 393

Answer:

  97 cm

Step-by-step explanation:

The perimeter is the sum of the side lengths. Starting from the upper left corner and working clockwise, the side lengths are ...

  10 +3 +33 +15 +33 +3 = 25+2(36) = 97 . . . cm

The perimeter of the figure is 97 cm.

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How do you find the limit of # (3 x^4 + 4) / ((x^2 - 7)(4 x^2 - 1)) # as x approaches infinity?
KengaRu [80]
\displaystyle\lim_{x\to\infty}\frac{3x^4+4}{(x^2-7)(4x^2-1)}

Expanding the denominator gives


(x^2-7)(4x^2-1)=4x^4-29x^2+7

Then in the whole rational expression, we can divide through by x^4. Since x\to\infty, we assume that x>0, so this is legal.

\dfrac{3x^4+4}{4x^4-29x^2+7}=\dfrac{3+\frac4{x^4}}{4-\dfrac{29}{x^2}+\dfrac7{x^4}}

As x gets arbitrarily large, the rational terms in the numerator and denominator become negligible. So for large x, we have

\dfrac{3x^4+4}{(x^2-7)(4x^2-1)}\approx\dfrac34

And so the limit is \dfrac34.
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3 years ago
URGENT. I DO NOT UNDERSTAND: PLEASES LEAVE AN EXPLANATION
Mandarinka [93]

Answer:

Step-by-step explanation:

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7 0
4 years ago
Why does the graph of a function shift left when K is positive and to the right when K is negative?
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Answer:

You can visualize this easily.

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Now if the argument of the function is taken as (x−h) the value of y will be f((x−h)+h)=f(x)  

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Hope this makes things clear.

Step-by-step explanation:

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ki77a [65]

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