Answer: The slope is 1/3
Step-by-step explanation:
m = y2-y1/x2-x1
m =9-7/4+2
m=2/6
m=1/3
Answer:
$167.03
Step-by-step explanation:
ok
Answer:
11 / 24
Step-by-step explanation:
i'm assuming you mean 1/6
We have to calculate the fraction of Paula`s allowance that she spent on other items if she already had spent 3/8 on clothes and 1/6 on entertainment. First we have to add: 3 / 8 + 1 / 6 = ( LCD is 24 ) = 9 / 24 + 4 / 24 = 13 / 24. Then : 1 - 13 / 24 = 24 / 24 - 13 / 24 = 11 / 24. Answer: She has spent 11 / 24 of her allowance on other items.
Answer:
Step-by-step explanation:
4ab(a-b)+b(2b-2a^2)
=4*1*-1[1-(-1)]+(-1){2(-1)-2*1^2}
=-4(1+1)-1{-2-2}
=-4*2-1(-4)
=-8+4
=-4
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)
.
