<span>[ (1 / 36) - (1 / x²) ] / [ (1 / 6) + (1 / x) ]
[ (x² - 36) / 36x² ] / [ (x + 6) / 6x ]
</span>remember that<span>:
x² - 36 = (x + 6)(x - 6)
so
[ (x+6)(x-6) / 36x² ] / [ (x + 6) / 6x ]
[ (x+6)(x-6) / 36x² ] * [ 6x / (x + 6) ]
6x / 36x² = 1 / 6x
[ (x+6)(x-6) / 6x ] * [ 1 / (x+6) ] -------------------- > </span>(x - 6) / 6x<span>
The answer is </span>(x - 6) / 6x<span>
</span>
Answer:
9cm
Step-by-step explanation:
3/12 is equal to 1/4 ratio between the size of the window and the building.
Apply that ratio to the the 36 centimeters to get 36/4 which is equal to 9 centimeters.
That's the associative property of addition
it is normally written as
(a+b)+c=a+(b+c)
which is like what you have
(17+4)+9=17+(4+9)
Answer:
![\sqrt[5]{4}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B4%7D)
+ ![\sqrt[10]{3}](https://tex.z-dn.net/?f=%5Csqrt%5B10%5D%7B3%7D)
Step-by-step explanation:
We sure can write 2^2/5+ 3^1/10 as 
// use the ![a^{\frac{m}{n} } =\sqrt[n]{a^{m} }](https://tex.z-dn.net/?f=a%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%20%7D%20%20%3D%5Csqrt%5Bn%5D%7Ba%5E%7Bm%7D%20%7D)
to transform the expression
Convert 
to ![\sqrt[5]{2^{2} }](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B2%5E%7B2%7D%20%7D)
= (here a = 2, n = 5, m = 2)
Then convert 
to ![\sqrt[10]{3^{1} }](https://tex.z-dn.net/?f=%5Csqrt%5B10%5D%7B3%5E%7B1%7D%20%7D)
= (here a = 3, n = 10, m = 1)
Now we get = + . This is the simplified form, which is the answer.
C because if the denominator equals x-2 that means that the horizontal asymptote happens at x=2. And because the numerator and denominator have the same degree then you divide leading coefficients to get the vertical asymptote at y=-2
