Answer:
![4x^2 + 22x + 15](https://tex.z-dn.net/?f=4x%5E2%20%2B%2022x%20%2B%2015)
Step-by-step explanation:
The side length of a square is represented by the expression 2x + 5.
The area of a square is given as:
![A = a^2](https://tex.z-dn.net/?f=A%20%3D%20a%5E2)
where a = length of side of the square
The area of the square is therefore:
![A = (2x + 5)^2\\\\A = (2x + 5)(2x + 5)\\\\A = 4x^2 + 20x + 25](https://tex.z-dn.net/?f=A%20%3D%20%282x%20%2B%205%29%5E2%5C%5C%5C%5CA%20%3D%20%282x%20%2B%205%29%282x%20%2B%205%29%5C%5C%5C%5CA%20%3D%204x%5E2%20%2B%2020x%20%2B%2025)
The perimeter of a square is given as:
![P = 4a](https://tex.z-dn.net/?f=P%20%3D%204a)
The perimeter of the square is therefore:
![P = 4(2x + 5) \\\\P = 8x + 10](https://tex.z-dn.net/?f=P%20%3D%204%282x%20%2B%205%29%20%5C%5C%5C%5CP%20%3D%208x%20%2B%2010)
The difference between the area of the square and the perimeter of the square is:
![4x^2 + 30x + 25 - (8x + 10)\\\\4x^2 + 30x + 25 - 8x - 10\\\\4x^2 + 30x - 8x + 25 -10\\\\4x^2 + 22x + 15](https://tex.z-dn.net/?f=4x%5E2%20%2B%2030x%20%2B%2025%20-%20%288x%20%2B%2010%29%5C%5C%5C%5C4x%5E2%20%2B%2030x%20%2B%2025%20-%208x%20-%2010%5C%5C%5C%5C4x%5E2%20%2B%2030x%20-%208x%20%2B%2025%20-10%5C%5C%5C%5C4x%5E2%20%2B%2022x%20%2B%2015)
The expression that represents the difference between the area and the perimeter of the square is:
![4x^2 + 22x + 15](https://tex.z-dn.net/?f=4x%5E2%20%2B%2022x%20%2B%2015)
Answer:
D
Step-by-step explanation:
Answer:
Step-by-step explanation:
Find the perimeter of an isosceles triangle whose equal sides have a size of 10 m each and the angle between them equal to 30°. We need to know all sides in order to find the perimeter of this triangle. Let x be the base of this isosceles triangle.
Answer:
f(x) = ![x^{3} - x^{2} - 10x -8](https://tex.z-dn.net/?f=x%5E%7B3%7D%20%20-%20x%5E%7B2%7D%20%20-%20%2010x%20%20-8)
Step-by-step explanation:
All you have to do is multiply (x + 1)(x + 2)(x - 4)
You should get ![x^{3} - x^{2} - 10x -8](https://tex.z-dn.net/?f=x%5E%7B3%7D%20%20-%20x%5E%7B2%7D%20%20-%20%2010x%20%20-8)
So, f(x) = ![x^{3} - x^{2} - 10x -8](https://tex.z-dn.net/?f=x%5E%7B3%7D%20%20-%20x%5E%7B2%7D%20%20-%20%2010x%20%20-8)
Answer:
-20f+32
Step-by-step explanation:
-5×4=-20 put the x back
4×8=32