Answer:
![k=\sqrt{3}](https://tex.z-dn.net/?f=k%3D%5Csqrt%7B3%7D)
Step-by-step explanation:
Given:
On rationalizing the denominator of
we get
.
To find value of
.
Solution.
In order to rationalize a radical denominator we will multiply the numerator and denominator with the radical as multiplying same numbers to numerator and denominator does not effect the proportions. This will remove the radical from the denominator.
For the given fraction with radical 3 in denominator, we will rationalize by multiplying numerator and denominator with radical 3.
So, we have
![\frac{2}{\sqrt{3}}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B%5Csqrt%7B3%7D%7D)
Rationalizing.
⇒ ![\frac{2\times\sqrt{3}}{\sqrt{3}\times\sqrt{3}}](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Ctimes%5Csqrt%7B3%7D%7D%7B%5Csqrt%7B3%7D%5Ctimes%5Csqrt%7B3%7D%7D)
⇒ ![\frac{2\times\sqrt{3}}{(\sqrt{3})^2}](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Ctimes%5Csqrt%7B3%7D%7D%7B%28%5Csqrt%7B3%7D%29%5E2%7D)
We get,
![\frac{2\sqrt{3}}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Csqrt%7B3%7D%7D%7B3%7D)
On comparing it with the result given which is ![\frac{2k}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2k%7D%7B3%7D)
we find out that value of ![k=\sqrt{3}](https://tex.z-dn.net/?f=k%3D%5Csqrt%7B3%7D)
Step-by-step explanation:
it's late but I hope it helps :)
imagine that the > symbol is just an equal sign
so for example
x+2>4
will look like
x+2=4
and you solve normally
×=2
now we bring the symbol back
x>2
but if you multiple or divide by a negative the sign flips
so say you have
-2x>4
make it into
-2x=4
solve
x=-2
but instead of >
you put
x < -2
Answer:
See attachment
Step-by-step explanation:
In other to draw a mapping diagram for the ordered pairs (1,0) (3,0) (5,4) (7,4) (9,4).
We identify the domain and range:
The domain is the set of the first coordinates of the ordered pairs.
Domain={1,3,5,7,9}
The range is the set of all the second coordinates.
Range: {0,4}
$20 a week for 10 weeks is:
20*10 = $200
She spends $6.75 each day for 5 days:
6.75*5 = $33.75.
Lets subtract her spending from her savings to find out how much she has left:
$200-$33.75 = $166.25
This difference would be 45 - 39, or 6 pages.