Express √3 + i in polar form:
|√3 + i| = √((√3)² + 1²) = √4 = 2
arg(√3 + i) = arctan(1/√3) = π/6
Then
√3 + i = 2 (cos(π/6) + i sin(π/6))
By DeMoivre's theorem,
(√3 + i)³ = (2 (cos(π/6) + i sin(π/6)))³
… = 2³ (cos(3 • π/6) + i sin(3 • π/6))
… = 8 (cos(π/2) + i sin(π/2))
… = 8i
An equation is:
2(x+3)-7=9
Distribute the 2
2(x)+2(3) -7=9
2x+6-7=9
Combine like terms
2x-1=9
Add one to both sides
2x-1+1=9+1
2x=10
Divide both sides by two to isolate the variable.
2x/2=10/2
x=m
= 5/3 x (-7/2)
= -35/6
= -5 5/6
answer A.
-5 5/6
Answer:
Depositing means that you added 50$ to your account. This means that you account increased by an amount of 50.
The integer describing this is +50.
Then, withdrawing means that you took money from the account. This means that your account decreased by an amount of 20.
This can be expressed as a -20 integer.
Answer:
the slope of the line is 2/3x
Step-by-step explanation:
i hope this helps :)