<em>z</em> = 3<em>i</em> / (-1 - <em>i</em> )
<em>z</em> = 3<em>i</em> / (-1 - <em>i</em> ) × (-1 + <em>i</em> ) / (-1 + <em>i</em> )
<em>z</em> = (3<em>i</em> × (-1 + <em>i</em> )) / ((-1)² - <em>i</em> ²)
<em>z</em> = (-3<em>i</em> + 3<em>i</em> ²) / ((-1)² - <em>i</em> ²)
<em>z</em> = (-3 - 3<em>i </em>) / (1 - (-1))
<em>z</em> = (-3 - 3<em>i </em>) / 2
Note that this number lies in the third quadrant of the complex plane, where both Re(<em>z</em>) and Im(<em>z</em>) are negative. But arctan only returns angles between -<em>π</em>/2 and <em>π</em>/2. So we have
arg(<em>z</em>) = arctan((-3/2)/(-3/2)) - <em>π</em>
arg(<em>z</em>) = arctan(1) - <em>π</em>
arg(<em>z</em>) = <em>π</em>/4 - <em>π</em>
arg(<em>z</em>) = -3<em>π</em>/4
where I'm taking arg(<em>z</em>) to have a range of -<em>π</em> < arg(<em>z</em>) ≤ <em>π</em>.
Answer:
5
Step-by-step explanation:
For this question , you just need to divide 1 7/8 with 1/12
1 7/8 : 1/12
= 15/8 : 1/12
= 15/8 x 12/1
= 22.5 bags.
So i guess she can make around 22 full bags
hope this helps
Answer:
Not a function
Step-by-step explanation:
(-4,9), (-4,0) : one input (-4) with 2 output -9 , 0
If it is 5 equally spaced marks, then each mark represents 1/6
0 -- 1/6 -- 2/6 -- 3/6 -- 4/6 -- 5/6 -- 1
so the third mark would represent 3/6 which reduces to 1/2
