Answer:
-8i
Step-by-step explanation:
To multiply numbers is polar form
z1 = r1 ( cos theta 1 + i sin theta 1)
z2 = r2 ( cos theta 2 + i sin theta 2)
z1*z2 = r1*r2 (cos (theta1+theta2) + i sin (theta1+theta2)
z1 = 2(cos 70° + i sin 70°)
z2 = 4(cos 200+ i sin 200)
z1z2 = 2*4 (cos (70+200) + i sin (70+200)
z1z2 = 8 (cos(270) + i sin (270))
= 8 (0 + i (-1))
=-8i
Answer:6
Step-by-step explanation:
4(2)^4 − 2(7)^2 + 40
4(16)-2(7)^2+40
64-2(49)+40
64-98+40
-34+40
6
Answer:
Michael and Carlos will have the same amount after 7 weeks
Step-by-step explanation:
Assume the total number of baseball cards that Carlos and Michael need to have to be equal is y, and the amount of time in terms of weeks that it will take for this to be achieved is x.
The following expressions can be derived
For Carlos to achieve y, he will need 85 and an addition of 10 per week (x):
y=85+(10x)..........equation 1
For Michael to achieve y, he will need 120 and an addition of 5 per week (x):
y=120+(5x)..........equation 2
Equating equation 1 and 2 to solve for x
85+10x=120+5x
10x-5x=120-85
5x/5=35/5
x=7
Number of weeks it will take Michael and Carlos to have the same amount=x=7 weeks
Answer:
Yes.
Step-by-step explanation:
Yes.
Assuming a, b and c are integers (not = 0)
a/b + b/c
= (ac + b^2) / bc which is a rational number.
