Answer: 
Step-by-step explanation:
1) Move all terms to the left: 
2) Add all the numbers together, and all the variables: 
3) Move all terms containing r to the left, all other terms to the right: 


If Origami paper is always in the shape of a square. The dimensions of the paper square that can be used is 8.5" x 8.5". the length of the diagonal is 12 inches.
<h3>
Hypotenuse</h3>
Square piece of paper=8.5" x 8.5"
Using the Pythagorean theorem
Diagonal or hypotenuse of a square with sides = 8.5" will be:
Hypotenuse = √[(8.5)×+ (8.5)²]
Hypotenuse=√72.25+72.25
Hypotenuse=√144.5
Hypotenuse=12 inches
Therefore the dimensions of the paper square that can be used is 8.5" x 8.5". the length of the diagonal is 12 inches.
The complete question is:
Origami paper is always in the shape of a square. If you take the top corner of either side of an 8.5 x 11-inch piece of paper and fold it to the lower opposite side and trim off the excess paper, this creates the square that we need. Then fold the top corner to the opposite corner to create a diagonal, which is a typical first step to most origami designs. What are the dimensions of your square? What is the length of the diagonal?
Learn more about Hypotenuse here:
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Answer:
The base is: ![3 \sqrt[3]{4}](https://tex.z-dn.net/?f=3%20%5Csqrt%5B3%5D%7B4%7D)
Step-by-step explanation:
Given
![f(x) = \frac{1}{4}(\sqrt[3]{108})^x](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B1%7D%7B4%7D%28%5Csqrt%5B3%5D%7B108%7D%29%5Ex)
Required
The base
Expand 108
![f(x) = \frac{1}{4}(\sqrt[3]{3^3 * 4})^x](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B1%7D%7B4%7D%28%5Csqrt%5B3%5D%7B3%5E3%20%2A%204%7D%29%5Ex)
Rewrite the exponent as:

Expand


Rewrite as:
![f(x) = \frac{1}{4}(3 \sqrt[3]{4})^x](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B1%7D%7B4%7D%283%20%5Csqrt%5B3%5D%7B4%7D%29%5Ex)
An exponential function has the following form:

Where

By comparison:
![b =3 \sqrt[3]{4}](https://tex.z-dn.net/?f=b%20%3D3%20%5Csqrt%5B3%5D%7B4%7D)
So, the base is: ![3 \sqrt[3]{4}](https://tex.z-dn.net/?f=3%20%5Csqrt%5B3%5D%7B4%7D)
Answer:
y = 2x + 1
Step-by-step explanation: