<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>.
9514 1404 393
Answer:
B. (2, 0)
Step-by-step explanation:
We understand the points on the graph of h(x) to be ...
(0, 2), (1, 5), (2, 8), (3, 11), (4, 14), (5, 17)
The points on the graph of the inverse function will have the x- and y-coordinates reversed:
(2, 0), (5, 1), (8, 2), (11, 3), (14, 4), (17, 5)
The one that appears among the answer choices is ...
(2, 0)
Answer:
What is the smallest number you can form with the given cards? ... Alex, Hans and Stan saved money to buy a tent for a camping trip. Stan ... Alex saved 40 % of what was left of the price.
Find the mean without the outlier <br>
15, 34, 38, 42, 43, 36, 40, 35, 36, 38,
Temka [501]
Is real confusing with this outliers
Answer:
No. They are not proportionate.
Step-by-step explanation:
