The length of one side of the square room of Rhett for his movie and music collection is (2x+7) feet.
<h3>What is area of square?</h3>
Area of square is the square of its sides length. It can be given as,
![A=a^2](https://tex.z-dn.net/?f=A%3Da%5E2)
Here,
is the length of the side of the square
Rhett decides to build a square room for his movie and music collection. The area of the room is given by the polynomial equation as,
![A=(4x^2 +28x +49)\rm ft^2](https://tex.z-dn.net/?f=A%3D%284x%5E2%20%2B28x%20%2B49%29%5Crm%20ft%5E2)
Find the factors of the above equation using the split the middle term method as,
![A=4x^2 +28x +49\\A=4x^2 +14x+14x +49A=x(2x+7)+7(2x+7)\\A=(2x+7)(2x+7)\\A=(2x+7)^2\rm ft^2](https://tex.z-dn.net/?f=A%3D4x%5E2%20%2B28x%20%2B49%5C%5CA%3D4x%5E2%20%2B14x%2B14x%20%2B49A%3Dx%282x%2B7%29%2B7%282x%2B7%29%5C%5CA%3D%282x%2B7%29%282x%2B7%29%5C%5CA%3D%282x%2B7%29%5E2%5Crm%20ft%5E2)
Compare it with the area of the square we get,
![a=(2x+7)\rm ft](https://tex.z-dn.net/?f=a%3D%282x%2B7%29%5Crm%20ft)
Hence, the length of the square room of Rhett for his movie and music collection is (2x+7) feet.
Learn more about the area of square here;
brainly.com/question/1658516
Answer:
Step-by-step explanation:
Answer:
Total sales = $3600
Commission earned on $3600 = $576
Commission rate can be calculated as =
= 16%
Hence, the commission rate is 16%
Answer:
![y=30x+45](https://tex.z-dn.net/?f=y%3D30x%2B45)
Step-by-step explanation:
Let
x ----> the number of hours
y ----> the cost in dollars
we know that
The linear equation in slope intercept form is equal to
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
where'
m is the slope or unit rate
b is the y-intercept of initial value
In this problem
we have
The slope is equal to
![m=\$30\ per\ hour](https://tex.z-dn.net/?f=m%3D%5C%2430%5C%20per%5C%20hour)
The y-intercept or initial value is equal to
![b=\$45](https://tex.z-dn.net/?f=b%3D%5C%2445)
therefore
The linear equation in slope intercept form is equal to
![y=30x+45](https://tex.z-dn.net/?f=y%3D30x%2B45)
False, the side across from the right angle is called the hypotenuse