Answer:
third option
Step-by-step explanation:
Using De Moivre's theorem
(
+ i)³ , then
|
+ i |
= ![\sqrt{(\sqrt{3})^2+1^2 }](https://tex.z-dn.net/?f=%5Csqrt%7B%28%5Csqrt%7B3%7D%29%5E2%2B1%5E2%20%7D)
=
=
= 2
arg(
+ i) =
(
) = ![\frac{\pi }{6}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%7D%7B6%7D)
Thus
(
+ i)³
= 2³ [ cos(3 ×
) + isin( 3 ×
) ]
= 8 [ cos(
) + isin(
) ]
Answer:
40
Step-by-step explanation:
90/8=11.25 (1 flapjack)
11.25x40=450
Answer:
i
Step-by-step explanation:
note that
= i
Given
- ![\sqrt{-16}](https://tex.z-dn.net/?f=%5Csqrt%7B-16%7D)
=
- ![\sqrt{16(-1)}](https://tex.z-dn.net/?f=%5Csqrt%7B16%28-1%29%7D)
=
×
- (
×
)
= 5i - 4i
= i
Answer:
3/4
Step-by-step explanation:
We can find the slope using the slope formula
m = (y2-y1)/(x2-x1)
= (5-2)/(7-3)
=3/4