The correct answer is option C
(4 - 6i)(6 - 8i)
= 4(6-8i) - 6i(6-8i)
= 24 - 32i - 36i + 48i²
= 24 - 68i + 48(-1)
= 24 - 68i - 48
= - 24 - 68i
To problem wants to compute the probability of the expected value that could be earn if you would draw again another card. So base on the fact that if draw a face card of K,Q,J from a standard deck correctly you will earn 10 point in just one draw, but loose 2 points if you another card, the probability that you would draw correct card in just one draw is 30.77%, so the possible value earn you have 2 points only
1)

now, let's take a peek at your Unit Circle, as you should have one, if you don't, this is a prime time to get one, you'll need it, you can find many online, or I can post one here for you, many good ones. Anyhow, let's take a peek at π/6.


now, the tangent function is positive, if both the numerator and denominator have the same sign, that happens in the I Quadrant, as in π/6, but is also true in the III Quadrant, since both are negative.

2)
Answer:
x=1
Step-by-step explanation:
2(6x+1)-3x=10-(x-2)
Distribute
12x +2 -3x = 10 -x+2
Combine like terms
9x +2 = 12 -x
Add x to each side
9x +x +2 = 12 -x+x
10x +2 = 12
Subtract 2 from each side
10x +2-2 = 12-2
10x = 10
Divide each side by 10
10x/10 = 10/10
x =1
Hi!
I can help you with joy!
- First, let's list all the factors of 36 and 90:
- 36:
- 1, 2, 3, 4, 6, 12, 18, 36.
- 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
- As you can see, 18 is the greatest common factor.
<u>Answer:</u>
The greatest common factor of 36 and 90 is 18.
Hope it helps.
Do ask if you have any query.
~Misty~