The given points are the vertices of the quadrilateral

By Green's theorem, the line integral is


Answer:
She should buy the monthly plan for the unlimited movies rather than pay $2.99 per movie. This is because, the more she pay that amount for each movie, the higher her expenses would become at the end of each month.
For example, let assume, in a month, she 8 free days (Saturday and Sunday). She paying for each movie each of those days would supersede the amount she could have spent assuming she did the unlimited monthly plan of $7.99.
That notwithstanding other days which will feel like watching movies or the public holidays which she would be free to relax.
Step-by-step explanation:
Given:
Area of rectangle = 
Width of the rectangle is equal to the greatest common monomial factor of
.
To find:
Length and width of the rectangle.
Solution:
Width of the rectangle is equal to the greatest common monomial factor of
is



Now,

So, width of the rectangle is
.
Area of rectangle is

Taking out GCF, we get

We know that, area of a rectangle is the product of its length and width.
Since, width of the rectangle is
, therefore length of the rectangle is
.
Answer:
Your ans is. a12 = 47/12
Step-by-step explanation:
First, you need to find if the series has a common ratio or a common difference between each term. Based from observation, there is a common difference of 1/3 so the series is an arithmetic series.
The solution for this problem goes like this
an=a1+(n-1)d
a12=1/n+(12-1)(1/3)
a12=47/12
Hope it helped you.. Please mark BRAINLIEST
Tysm
Answer:
Hence, the number of daylilies in the first year were:
600
Step-by-step explanation:
It is given that:
the recursive formula
represents the number of daylilies, a, after n years.
Also we are given that in the fifth year they have 2,225 daylilies.
i.e.

Also,


This means that:

Similarly,

so,

and so, putting
in terms of
we get:

Now on putting the value of
we find the value of 

Hence, the number of daylilies in the first year were:
600