Answer:
ight so
1 - 60
2- 90,90
4 - a=90, b=45
Step-by-step explanation:
Answer:
![i^{15} = -i](https://tex.z-dn.net/?f=i%5E%7B15%7D%20%3D%20-i)
Step-by-step explanation:
The basic relation of the complex numbers is:
![i^{2} = -1](https://tex.z-dn.net/?f=i%5E%7B2%7D%20%3D%20-1)
So, we decompose
in factors of
.
So:
![i^{15} = i^{2}*i^{2}*i^{2}*i^{2}*i^{2}*i^{2}*i^{2}*i](https://tex.z-dn.net/?f=i%5E%7B15%7D%20%3D%20i%5E%7B2%7D%2Ai%5E%7B2%7D%2Ai%5E%7B2%7D%2Ai%5E%7B2%7D%2Ai%5E%7B2%7D%2Ai%5E%7B2%7D%2Ai%5E%7B2%7D%2Ai)
Each
is replaced by -1.
So:
![i^{15} = (-1)*(-1)*(-1)*(-1)*(-1)*(-1)*(-1)*i](https://tex.z-dn.net/?f=i%5E%7B15%7D%20%3D%20%28-1%29%2A%28-1%29%2A%28-1%29%2A%28-1%29%2A%28-1%29%2A%28-1%29%2A%28-1%29%2Ai)
![i^{15} = (-1)^{7}*i](https://tex.z-dn.net/?f=i%5E%7B15%7D%20%3D%20%28-1%29%5E%7B7%7D%2Ai)
Any negative value powered to an odd value will be negative. So:
![(-1)^{7} = -1](https://tex.z-dn.net/?f=%28-1%29%5E%7B7%7D%20%3D%20-1)
![i^{15} = -i](https://tex.z-dn.net/?f=i%5E%7B15%7D%20%3D%20-i)
Answer:
<u>(3, -1)</u>
Step-by-step explanation:
<u>Given</u>
<u>Subbing the value of y</u>
- 4x + 5(3x - 10) = 7
- 4x + 15x - 50 = 7
- 19x = 57
- x = 3
- y = 3(3) - 10
- y = 9 - 10
- y = -1
- Solution is <u>(3, -1)</u>
1600*0.85
The answer is 1360 tickets..
Answer:
a
Step-by-step explanation: