Answer:
The modulus of the complex number 6-2i is:
Step-by-step explanation:
Given the number
We know that
where x and y are real and 
The modulus or absolute value of z is:
Therefore, the modulus of will be:
Therefore, the modulus of the complex number 6-2i is:
Answer: The answer is the 3rd one
Answer:
47 rounds and Eve wins.
Step-by-step explanation:
If read right, the highest player, (player with the most tokens) has to lose 3 tokens each round, so starting off with Evelyn, 17 - 3 = 14, and the other two each have +1 added to them, so, E=14, A=17 V=16, now subtract three from A (Amelia) and don't forget that one token is always being discarded each round. So the toal number of tokens at the start was 48, (17 + 16 + 15) so right now the total tokens should be 47, which it is. now starting the second round, A gives up 3 tokens so, 17 -3, again equals 14 and each of the two other players get one token, so E=15, A=14 V=17. Now you know the general trend, so we can figure this out seeing that after each round the number of tokens decrease by one, so there will be a round till all tokens are out except one, so there will be 47 rounds and since E started with the highest number they will win.
Answer:
6
Step-by-step explanation:
(8/3) / (-4/9)
when dividing fractions you use the acronym k.c.f (keep change flip)
keep the first fraction
change the operation (divide to multiply)
flip the other fraction
(8/-3) x (9/4)
after re-writing your expression, you want to solve
do this by multiplying both numerators by each other and same with the denominators
(-8x9) / (3x-4)
then you get a new fraction,
-72/-12
simplify,
-72/-12 = 6 (multiplying/dividing 2 negatives will always give you a positive)
