Answer:
(2) x2+1+4/x+2
Step-by-step explanation:
I hope i am right sorry if i am wrong.
Answer:
Step-by-step explanation:
Given the following complex numbers, we are to expressed them in the form of a+bi where a is the real part and b is the imaginary part of the complex number.
1) (2-6i)+(4+2i)
open the parenthesis
= 2-6i+4+2i
collect like terms
= 2+4-6i+2i
= 6-4i
2) (6+5i)(9-2i)
= 6(9)-6(2i)+9(5i)-5i(2i)
= 54-12i+45i-10i²
= 54+33i-10i²
In complex number i² = -1
= 54+33i-10(-1)
= 54+33i+10
= 54+10+33i
= 64+33i
3) For the complex number 2/(3-9i), we will rationalize by multiplying by the conjugate of the denominator i.e 3+9i
= 2/3-9i*3+9i/3+9i
=2(3+9i)/(3-9i)(3+9i)
= 6+18i/9-27i+27i-81i²
= 6+18i/9-81(-1)
= 6+18i/9+81
= 6+18i/90
= 6/90 + 18i/90
= 1/15+1/5 i
4) For (3 − 5i)(7 − 2i)
open the parenthesis
= 3(7)-3(2i)-7(5i)-5i(-2i)
= 21-6i-35i+10i²
= 21-6i-35i+10(-1)
= 21-41i-10
= 11-41i
13) C
14) D (you would change it to -1/5y=3/5x +1)
15) A
Answer: 1/13, 1/4, 1/52, 3/4
Step-by-step explanation:
There are 52 cards in a standard playing deck. There are 4 of each suit (spade, club, heart, diamond) there are also 4 of each number, jack, queen, king.
The chance of you drawing a jack: 4 jacks in a card deck of 52, so 1/13, similar with the spades there are 13 spades in 52 cards, jack of spades there's only 1 in the entire deck, and not a spade there are 13 spades and 52 cards. After that you just simplify the results.