DeMoivre's theorem says
(2 (cos(12°) + <em>i</em> sin(12°)))⁵ = 2⁵ (cos(5×12°) + <em>i</em> sin(5×12°))
… = 32 (cos(60°) + <em>i</em> sin(60°))
… = 32 (1/2 + √3/2 <em>i</em> )
… = 16 + 16√3 <em>i</em>
Answer:
c = ab -9
Step-by-step explanation:
ab-c=9
Subtract ab from each side
ab-c - ab=9-ab
-c=9-ab
Multiply each side by -1
c = -9+ab
Rewriting
c = ab -9
all of them because it is not a straight line
Part a:
x + y = 55
y = x + 25
part b:
jackie runs 15 minutes every day.
part c:
it is not possible for jackie to spend 45 minutes a day dancing, since the time she spends dancing and running is 55 minutes, and we know that it takes 15 minutes to run
step-by-step explanation:
let's call and while jackie is dancing
let's call x while jackie is running
then we know that jackie runs and dances for a total of 55 minutes every day
this means that:
x + y = 55
we also know that jackie dances 25 minutes more than she runs.
this meant that:
y = x + 25
now we substitute the second equation in the first and solve for the variable x
x + x + 25 = 552x = 55-252x = 30x = 15
jackie runs 15 minutes every day.
now we find the value of the variable -y
15 + y = 55y = 55-15y = 40
note that it is not possible for jackie to spend 45 minutes a day dancing, since the time she spends dancing and running is 55 minutes, and we know that it takes 15 minutes to run
Answer:
Step-by-step explanation:
-4 is negative 4 witch is less then 4. -4 +4 =0
