So let's start from the beginning.
Add 2 and 4:
(2 + 4)
Multiply the sum by 3:
3(2 + 4)
Then add 5 to that product:
3(2 + 4) + 5
Then double the results:
2[3(2 + 4) + 5]
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)
.
Answer:
y-5 = -6(x+3) OR y = -6x-13
Step-by-step explanation:
Let's use slope-intercept form to solve this problem.
Slope intercept form is the following:
y-y1 = m(x-x1)
x1 and y1 are given by the point in the problem.
x1 = -3, y1 = 5.
m is given by the equation in the problem. Lines that are parallel have the same slope. Thus,
m = -6.
If we plug these values into the equation for slope intercept form, we get the following:
y-5 = -6(x-(-3)) which becomes y-5 = -6(x+3)
This is an acceptable answer to the problem. However, point-slope form is also a way it can be written.
y-5 = -6x-18
y = -6x-13
Answer:
Step-by-step explanation:
(2⁶)ˣ = 1
2⁶ˣ = 1
6x = 0
x = 0
