Answer:
xvtxhdgxxxsrhtuhdtuhxdrxyhrdxyvwxtygwxryvbsr xvtxhdgxxxsrhtuhdtuhxdrxyhrdxyvwxtygwxryvbsrysry bsctybtyexbybwxtbwxtywxtybhwxtywxtyhwxtyhwxtybwxtyhsxtybxtyhywxthwxtyhwhxrhwxrywxrhyxrg
Step-by-step explanation:
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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)
The distance between 1 - 10 1/4
____________________
1 - 10 1/4 = -9 1/4
_________________________
Answer
-9 1/4
9 1/4 (in absolute value)
Answer:
m∠Q = 61°
m∠S = 61°
m∠R = 58°
Step-by-step explanation:
Since we have an isosceles triangle, we know that ∠Q and ∠S are congruent.
Step 1: Definition of isosceles triangle
2x + 41 = 3x + 31
41 = x + 31
x = 10
Step 2: Find m∠Q
m∠Q = 2(10) + 41
m∠Q = 20 + 41
m∠Q = 61°
Step 3: Find m∠S
Since m∠Q = m∠S,
m∠S = 61°
Step 4: Find m∠R (Definition of a triangle)
Sum of angles in a triangle adds up to 180°
m∠R = 180 - (61 + 61)
m∠R = 180 - 122
m∠R = 58°
2, 4, 6, 8, 10, 12
difference is 2
