Answer:
Step-by-step explanation:
We know i×i=i^2 which has value of -1.
We will multiply numerator and denominator by i so the denominator will no longer contain imaginary part(s).
Also multiplying by i/i does not change the value of the fraction because i/i=1.
Numerator × i gives (-5+i)i=-5i+i^2=-5i-1
=-1-5i.
Denominator × i gives (2i)i=2i^2=-2.
So the simplified version of this fraction given is:
The last simplification come from me multiplying fraction by -1/-1.
3/4 is the answer. there are 52 cards in a deck and only 4 suits so there are 13 cards of each suit. you would need to subtract 13 from 52 because you dont want diamonds so you get 39/52 and that simplified is 3/4
Any number to the power 0 is 1.
So 10^0 = 1
We divide
by
using the long division algorithm as follows:
5a^2 - 6a + 20
_____________________
5a^2 + 6a - 9 | 25a^4 + 0a^3 + 19a^2 - a - 78
| 25a^4 + 30a^3 - 45a^2
|___________________
| -30a^3 + 64a^2 - a - 78
| -30a^3 - 36a^2 + 54a
| ____________________
| 100a^2 - 55a - 78
| 100a^2 + 120a - 180
| __________________
-175a + 102
Therefore,
divided into
gives
remainder -175a + 102.