At most, 20. 20 is the greatest common factor of all numbers.
Here is the explanation.
For the general complex number (a + bi), its conjugate is (a - bi).
By definition, i² = -1.
Evaluate (a + bi)*(a - bi) to obtain
(a + bi)*(a - bi) = a² - abi + abi - b²i²
= a² - b²*(-1)
= a² + b²
This means that multiplying a complex number by its conjugate yields a real number.
For this reason, it is customary to make the denominator of a complex rational expression into a real number, by multiplying the denominator by its conjugate.
Of course, the numerator should also be multiplied by the same conjugate.
Example:
Simplify (2 - 3i)/(1 + 4i) into the form a + bi.
The denominator is (1 + 4i) and its conjugate is (1 - 4i).
Multiply the denominator by its conjugate to obtain
(1 + 4i)*(1 - 4i) =1² + 4² = 17.
Also, multiply the numerator by the same conjugate to obtain
(2 - 3i)*(1 - 4i) = 2 - 8i - 3i + (3i)*(4i)
= 2 - 11i + 12*i²
= 2 - 11i - 12
= -10 - 11i
Therefore
(2 - 3i)/(1 + 4i) = -(10 + 11i)/17
Mean ; 2.6
Median; 2
Mode ; 2
Answer: 20%
Step-by-step explanation:
There are 50 total hours playing sports, 10 of those hours are playing football. This means that of hours played over total hours is 10/50, so just divide and you'll get 0.2, or 20%.
8n + 5 = 139
You would re-Arrange it to make it
8n = 139 + 5
Then take minus five to make it look like
8n=134
Next step would be to divide
Divide 8 on both sides which would leave you with
N= 67 over 4
you will have to convert it if you don’t want a fraction