Question says to draw a polygon with the given conditions in a coordinate plane. It is talking about Rectangle with perimeter of 20 units.
So we can use formula of perimeter of rectangel to find it's possible dimensions.
We knwo that perimeter of the rectangle is given by 2(L+W)
where L is lenght and W is width.
Given perimeter is 20 so we get:
2(L+W)=20
L+W=10
L=10-W
So basically we can use any number for W which can be from 0 to 10 as side length can't be negative.
Let W=4
Then L=10-W=10-4=6
Hence we just have to draw a rectangle having length 6 and width 4.
So the final answer will be picture in the attached graph.
Answer:
C. 3
Step-by-step explanation:
C&D, A&F, K&J
First, you need to analize and understand the problem, then you must choose and strategy. There is a wide variety of strategies to solve a mathematical problem, in this case, you can use the following, which is based on the information given above:
1. You have that t<span>he sum of three consecutive even integers is </span>

<span>, therefore, you can given the variable </span>

<span> to the first integer, the second even integer is </span>

<span> and the third one is </span>

<span>.
2. Calculate x:
</span>

<span>
</span>

<span> </span>

<span>
</span>

<span>
</span>

<span>
Therefore, the answer is:</span>
Answer:

The interval of convergence is:
Step-by-step explanation:
Given


The geometric series centered at c is of the form:

Where:
first term
common ratio
We have to write

In the following form:

So, we have:

Rewrite as:


Factorize

Open bracket

Rewrite as:

Collect like terms

Take LCM


So, we have:

By comparison with: 



At c = 6, we have:

Take LCM

r = -\frac{1}{3}(x + \frac{11}{3}+6-6)
So, the power series becomes:

Substitute 1 for a


Substitute the expression for r

Expand
![\frac{9}{3x + 2} = \sum\limits^{\infty}_{n=0}[(-\frac{1}{3})^n* (x - \frac{7}{3})^n]](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B3x%20%2B%202%7D%20%3D%20%20%5Csum%5Climits%5E%7B%5Cinfty%7D_%7Bn%3D0%7D%5B%28-%5Cfrac%7B1%7D%7B3%7D%29%5En%2A%20%28x%20-%20%5Cfrac%7B7%7D%7B3%7D%29%5En%5D)
Further expand:

The power series converges when:

Multiply both sides by 3

Expand the absolute inequality

Solve for x

Take LCM


The interval of convergence is: