Answer:
Step-by-step explanation:
We can determine the power of a complex number by the De Moivre's Theorem, which states that for all 
, where 
, the power of the complex number is:
(1)
Where:
- Magnitude of the complex number, dimensionless.
- Direction of the complex number.
If we know that 
, 
and 
, then the fourth power of the complex number is:
![z^{4} = 1^{4}\cdot \left[\cos\left(\frac{8\pi}{3} \right)+i\,\sin\left(\frac{8\pi}{3}\right)\right]](https://tex.z-dn.net/?f=z%5E%7B4%7D%20%3D%201%5E%7B4%7D%5Ccdot%20%5Cleft%5B%5Ccos%5Cleft%28%5Cfrac%7B8%5Cpi%7D%7B3%7D%20%5Cright%29%2Bi%5C%2C%5Csin%5Cleft%28%5Cfrac%7B8%5Cpi%7D%7B3%7D%5Cright%29%5Cright%5D)
Answer:
see explanation
Step-by-step explanation:
y = 1 is the equation of a horizontal line parallel to the x- axis.
Since it is parallel to the x- axis then its slope is zero.
A line perpendicular to it will therefore be a vertical line parallel to the y- axis.
The slope of the perpendicular line is undefined.
The slope of a parallel line is zero
Answer:
nopw
Step-by-step explanation:
Formula of the area of a triangle:
A = hbb/2
Plug in the numbers.
26 · 26/2
= 338
Therefore, the area of the triangle is 338
