<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:
Step-by-step explanation:
Answer:
2. Alex sent the questionnaire only to those who live near her.
Step-by-step explanation:
Given scenario is :
Alex is conducting a survey for a car company. She decides to start by interviewing some people in her neighborhood.
She prepares a questionnaire and emails it to 50 neighbors who own cars. Of those neighbors, 24 respond.
We can see that Alex sent the questionnaire to only her neighbors or people who live near her, so this will be the reason the sample will be biased.
Answer:
-5
Step-by-step explanation:
The y coordinate of the vertex is -5.
Answer:
Basically, you calculate your ratio and find what its is, but after that, you have to simplify it, giving you 4.
Step-by-step explanation:
