Answer:
Step-by-step explanation:
If a complex number is z=a+ib, then the trigonometric form of complex number is
where, 
and 
, 
is called the argument of z, 
.
The given complex number is -5i.
It can be rewritten as
Here, a=0 and b=-5. lies in 4th quadrant.
![[\because \text{In 4th quadrant }\theta=2\pi-\theta]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Ctext%7BIn%204th%20quadrant%20%7D%5Ctheta%3D2%5Cpi-%5Ctheta%5D)
So, the trigonometric form is
Answer:
Look at the equations:
y
=
−
9
x
−
21
and
y
=
5
x
+
7
Because both equations equal (y), they both equal the same.
If an equations says "
y
=
−
9
x
−
21
" , that means we can replace (y) with
−
9
x
−
21
.
Therefore when i take the equation:
y
=
5
x
+
7
, we can replace (y) to get:
−
9
x
−
21
=
5
x
+
7
Now isolate (x):
−
9
x
−
21
=
5
x
+
7
⇔
−
21
=
14
x
+
7
⇔
−
28
=
14
x
⇔
x
=
−
2
Answer:
f(n) = 1750 + 70n
Step-by-step explanation:
Since, each of them are depositing 35$ each month, they are adding 35x2 = 70$ each month.
So, in n months, they will be adding 70n $ to their account.
Initially, they had 1,750$ in their account. After n months, they should have 1750+70n $ in their account.
So, the function that represents this is, f(n) = 1750 +70n
ANSWER
Average Rate of Change
EXPLANATION
To find the average rate of change of y=f(x) from x=a to x=b means finding the slope of the secant line joining the points
(a,f(a)) and (b,f(b))
The slope of the secant line joining these points is
This gives the average rate of change of the function.
