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GarryVolchara [31]
3 years ago
9

If x^2 +2xy -8 = 0, then when x = 4, dy/dx =

Mathematics
2 answers:
Tasya [4]3 years ago
6 0
The correct answer is E, hope I am right!
Katena32 [7]3 years ago
3 0
For simplicity, dy/dx means f'(x);
We have y = ( 8 - x^2 ) / 2x;
Then, y = 4/x - x/2;
So, f'(x) = (4/x - x/2)' = (4/x)' - (x/2)' = -4/(x^2) -1/2 because we use <span> d<span>ifferentiation formulas, such as : (f+g)' = f' + g'; (cf)' = cf'; x'=1; (1/x)' = -1/(x^2);
</span></span>Finally, f'(4) = -4/16 -1/2 = -4/16 - 8/16 = -12/16 = -3/4.
The correct answer is E.
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4 and 1 over 4 divided by 1 and 7 over 8
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Answer:

3 and 23 Over 32

Step-by-step explanation:

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2 years ago
Which fraction is equivalent to 38%?<br> A. 3/8<br> B. 9/25<br> C. 19/50<br> D. 3 4/5
Virty [35]

Answer:

C

Step-by-step explanation:

<h2>—Math</h2>

38% = 38/100

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3 years ago
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Convert 7.23 (3 reapting) to a fraction
Svetllana [295]

x=7.2\overline{3}\\\\10x=72.\overline{3}\\\\100x=723.\overline{3}\\\\100x-10x=723.\overline{3}-72.\overline{3}\\\\90x=651\\\\x=\dfrac{651}{90}=\dfrac{217}{30}

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3 years ago
500 increased by 30%
fgiga [73]

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4 0
2 years ago
Given klmn is a trapezoid, kl = mn, m&lt;1 = m&lt;2, lm/kn = 8/9, pklmn = 132. Find: the length of the legs
Ilia_Sergeevich [38]

Answer:

The length of legs lm, mn, and lk is 32 while that of kn is 36.

Step-by-step explanation:

The diagram is attached in the answer.

As both the angles are equal thus the two forms isosceles triangles. This is true because the converse of base angle theorem is applicable here. The theorem clearly states that when a trapezoid is divided by the diagonal, it forms two set of angles where m<1=m<2 and m<lmk=m<nmk

This leads the two set of legs such as

\dfrac{lm}{kn}=\dfrac{8}{9}

Or this could be written as

lm=8x\\kn=9x

Now the remaining two sides are given as

lk=lm as this form an isosceles triangle so

lk=8x

Similarly

mn=lm\\

Or

mn=8x

Now the perimeter is given as

\text{perimeter}=lm+mn+kn+lk\\

Here perimeter is given as 132 so this gives:

\text{perimeter}=lm+mn+kn+lk\\132=8x+8x+8x+9x\\132=33x\\x=\dfrac{132}{33}\\x=4

So the four legs are of length as given below:

lm=8x=8\times 4=32\\mn=8x=8\times 4=32\\lk=8x=8\times 4=32\\kn=9x=9\times4=36

So the length of legs lm, mn, and lk is 32 while that of kn is 36.

6 0
2 years ago
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