Question:
What is the common denominator of
in the complex fraction 
A) 
B) 
C) 
D) 
Answer:
Option D : 3 is the common denominator
Explanation:
It is given that the complex fraction 
We need to determine the common denominator of
from the complex fraction.
Let us consider the fraction 
To find the common denominator, let us take LCM.
Thus, rewriting the above fraction as,

The LCM can be determined by multiplying the denominators.
Thus, we get,

Thus, the common denominator is 3.
Hence, Option D is the correct answer.
To solve this
problem, let us analyze this step by step. The temperature for each day is as
follows:
Water temperature
on Sunday = 78 degrees F
Water temperature
on Monday = changed by -3 degrees F
Water temperature
on Tuesday = changed by 3 degrees F
We can see that
the total change of water temperature from Sunday to Tuesday is:
-3 + 3 = 0
Therefore there
is zero overall change. There the integer which represents the temperature
change is “0”.
Since the overall
change in water temperature is zero, hence the temperature on Sunday and on
Tuesday is similar.
Water temperature
on Tuesday = 78 degrees F
For complex number, the magnitude is pretty straight forward:
sqrt(6^2 + 2^2) = sqrt(40)
For any a + bi, the magnitude will be sqrt(a^2 + b^2)
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I don't know what the relation in your problem is, but I'll just explain this using my own example.
Let's use the following relation as the example (pretend it's a table of values):
x | y
0 | 1
2 | 4
4 | 7
6 | 10
To write the relation as ordered pairs, you need the x and y values from the table. An ordered pair is written like this: (x,y).
Based off of this explanation, the ordered pairs from this example would be:
(0,1) (2,4) (4,7) (6,10)