Circumference: 21.991 feet
Area: 38.485 feet
Answer:
314
Step-by-step explanation:
Answer:
![1)\ \ 4h^2-13h+6\\2)\ \ 7x^3y^2-x^2y+1\\3)\ \ -7n+2\\4)\ \ -8m+4](https://tex.z-dn.net/?f=1%29%5C%20%5C%204h%5E2-13h%2B6%5C%5C2%29%5C%20%5C%207x%5E3y%5E2-x%5E2y%2B1%5C%5C3%29%5C%20%5C%20-7n%2B2%5C%5C4%29%5C%20%5C%20-8m%2B4)
Step-by-step explanation:
1.
Simplify the expression by combining like terms. Remember, like terms have the same variable part, to simplify these terms, one performs operations between the coefficients. Please note that a variable with an exponent is not the same as a variable without the exponent. A term with no variable part is referred to as a constant, constants are like terms.
![2h^2-7h+2h^2-h+6+4h-9h](https://tex.z-dn.net/?f=2h%5E2-7h%2B2h%5E2-h%2B6%2B4h-9h)
![(2h^2+2h^2)+(-7h-h+4h-9h)+(6)](https://tex.z-dn.net/?f=%282h%5E2%2B2h%5E2%29%2B%28-7h-h%2B4h-9h%29%2B%286%29)
![4h^2-13h+6](https://tex.z-dn.net/?f=4h%5E2-13h%2B6)
2.
Use a very similar method to solve this problem as used in the first. Please note that all of the rules mentioned in the first problem also apply to this problem; for that matter, the rules mentioned in the first problem generally apply to any pre-algebra problem.
![8x^3y^2-7x^2y+8x-4-x^3y^2+2x^2y+4x^2y-8x+5](https://tex.z-dn.net/?f=8x%5E3y%5E2-7x%5E2y%2B8x-4-x%5E3y%5E2%2B2x%5E2y%2B4x%5E2y-8x%2B5)
![(8x^3y^2-x^3y^2)+(-7x^2y+2x^2y+4x^2y)+(8x-8x)+(-4+5)](https://tex.z-dn.net/?f=%288x%5E3y%5E2-x%5E3y%5E2%29%2B%28-7x%5E2y%2B2x%5E2y%2B4x%5E2y%29%2B%288x-8x%29%2B%28-4%2B5%29)
![7x^3y^2-x^2y+1](https://tex.z-dn.net/?f=7x%5E3y%5E2-x%5E2y%2B1)
3.
Use the same rules as applied in the first problem. Also, keep the distributive property in mind. In simple terms, the distributive property states the following (
). Also note, a term raised to an exponent is equal to the term times itself the number of times the exponent indicates. In the event that the term raised to an exponent is a constant, one can simplify it. Apply these properties here,
![-2(8n+1)-(5-9n)+3^2](https://tex.z-dn.net/?f=-2%288n%2B1%29-%285-9n%29%2B3%5E2)
![-2(8n+1)-(5-9n)+(3*3)](https://tex.z-dn.net/?f=-2%288n%2B1%29-%285-9n%29%2B%283%2A3%29)
![-2(8n+1)-(5-9n)+9](https://tex.z-dn.net/?f=-2%288n%2B1%29-%285-9n%29%2B9)
![(-2)(8n)+(-2)(1)+(-)(5)+(-)(-9n)+9](https://tex.z-dn.net/?f=%28-2%29%288n%29%2B%28-2%29%281%29%2B%28-%29%285%29%2B%28-%29%28-9n%29%2B9)
![-16n-2-5+9n+9](https://tex.z-dn.net/?f=-16n-2-5%2B9n%2B9)
![(-16n+9n)+(-2-5+9)](https://tex.z-dn.net/?f=%28-16n%2B9n%29%2B%28-2-5%2B9%29)
![-7n+2](https://tex.z-dn.net/?f=-7n%2B2)
4.
The same method used to solve problem (3) can be applied to this problem.
![\frac{1}{2}(10-8m+6m^2)-(3m^2+4m-7)-2^3](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%2810-8m%2B6m%5E2%29-%283m%5E2%2B4m-7%29-2%5E3)
![\frac{1}{2}(10-8m+6m^2)-(3m^2+4m-7)-(2)(2)(2)](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%2810-8m%2B6m%5E2%29-%283m%5E2%2B4m-7%29-%282%29%282%29%282%29)
![(\frac{1}{2})(10)+(\frac{1}{2})(-8m)+(\frac{1}{2})(6m^2})+(-)(3m^2)+(-1)(4m)+(-1)(-7)-8](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B2%7D%29%2810%29%2B%28%5Cfrac%7B1%7D%7B2%7D%29%28-8m%29%2B%28%5Cfrac%7B1%7D%7B2%7D%29%286m%5E2%7D%29%2B%28-%29%283m%5E2%29%2B%28-1%29%284m%29%2B%28-1%29%28-7%29-8)
![5-4m+3m^2-3m^2-4m+7-8](https://tex.z-dn.net/?f=5-4m%2B3m%5E2-3m%5E2-4m%2B7-8)
![(-3m^2-3m^2)+(-4m-4m)+(5+7-8)](https://tex.z-dn.net/?f=%28-3m%5E2-3m%5E2%29%2B%28-4m-4m%29%2B%285%2B7-8%29)
![-8m+4](https://tex.z-dn.net/?f=-8m%2B4)
You take the radius, multiply it by 2, and then multiply it by pi. AKA c=2•pi•r