Answer:
The imaginary part is 0
Step-by-step explanation:
The number given is:
First, we can expand this power using the binomial theorem:
After that, we can apply De Moivre's theorem to expand each summand:
The final step is to find the common factor of i in the last expansion. Now:
The last part is to multiply these factors and extract the imaginary part. This computation gives:
(It is not necessary to do a lengthy computation: the summands of the imaginary part are the products sin(a)cos(b) and cos(a)sin(b) as they involve exactly one i factor)
A calculator simplifies the imaginary part Im(x⁶) to 0
On the left side, distribute the 2 to x and -3 so the left side should look like 5x+2x-6.
on the right, distribute the -2 to x and -1 so the right side should look like -2x+2.
combine like terms on the left to get 7x-6=-2x+2
add -2x from the right side to the left side to make the equation 9x-6=2 now it's a two step equation.
add 6 to 2 to get 9x=8. divide by 9 and x=8/9.
5.
In 4.75 the 7 makes it round up to 5
As the image is magnified by a factor of 1: 7(1/4)
= 1: (29/4)
= 4/29.
The length of x must've been also increased by a factor of 4/ 29.
Using this,
The scaled value of x will be,
3(4/29)
= 12/29 units.
8 goes into 74 nine times but there is a remainder of 2
9 and a remainder of 2 or 9 and 1/4
