Answer:
The complex number 
has Cartesian form
.
Step-by-step explanation:
First, we need to recall the definition of 
when 
is a complex number:
.
Then,
. (I)
Now, recall the definition of the complex exponential:
.
So,
(we use that 
.
Thus,
Now we group conveniently in the above expression:
.
Now, substituting this equality in (I) we get
.
Thus,
![\exp\left(\cos(2+3i)\right) = \exp\left(\cosh 3\cos 2\right)\left[ \cos(\sinh 3\sin 2)-i\sin(\sinh 3\sin 2)\right]](https://tex.z-dn.net/?f=%5Cexp%5Cleft%28%5Ccos%282%2B3i%29%5Cright%29%20%3D%20%5Cexp%5Cleft%28%5Ccosh%203%5Ccos%202%5Cright%29%5Cleft%5B%20%5Ccos%28%5Csinh%203%5Csin%202%29-i%5Csin%28%5Csinh%203%5Csin%202%29%5Cright%5D)
.
A rhombus is a square but turned so it looks like a diamond. This means all the sides are equal. With this information we can build an equation to solve for x.
3x - 10 = 6x - 19
1) Subtract 3x from both sides.
-10 = 3x - 19
2) Add 19 to both sides.
9 = 3x
3) Divide both sides by 3.
3 = x
x =3.
Use point slope formula y-y1=m(x-x1)
You are told that y=-x+3. This equation is of the form y=mx+b. Where m=-1. m is the slope. And you have a point (x1,y1) that is (3,-2). With all of this in mind, you then plug all of these details into the point slope formula y-y1=m(x-x1)
In point slope form, you have the following:
y-(-2)=-1(x-3).
To turn this into slope intercept form, simplify y-(-2) to get y+2 and distribute in the -1 to get:
y+2=-x+3
Subtract 2 from both sides to get
y=-x+1
In slope intercept form, the answer is
y=-x+1 and in point slope form, the answer is y+2=-x+3
Hope this helps!!!
Your decimal is in the wrong place.
However, assuming the number is 50,000, the answer could be 49987.
Assuming the number is 500,000, the answer could be 499954.
How many people are in club on third week is 6
