Answer:
20 yd^2
Step-by-step explanation:
Your work is partially correct.
Assuming that the sides marked 8 yds and 2 yds are parallel, then the area of the trapezoid is
A = ( 8 yds + 2 yds)
------------------------ * 4 = 20 yd^2
2
Answer:
250
Step-by-step explanation:
mulitply 28.95 by 4 to get that out of the way, this equals 115.
subtract: 200-115=85
divide: 85/.34
answer:250
Answer:
Length is 6 feet
Step-by-step explanation:
l=A
w=12
2=6
hope you get it right
Given:
The expression is:
![2x^3+mx^2+nx+c](https://tex.z-dn.net/?f=2x%5E3%2Bmx%5E2%2Bnx%2Bc)
It leaves the same remainder when divided by x -2 or by x+1.
To prove:
![m+n=-6](https://tex.z-dn.net/?f=m%2Bn%3D-6)
Solution:
Remainder theorem: If a polynomial P(x) is divided by (x-c), thent he remainder is P(c).
Let the given polynomial is:
![P(x)=2x^3+mx^2+nx+c](https://tex.z-dn.net/?f=P%28x%29%3D2x%5E3%2Bmx%5E2%2Bnx%2Bc)
It leaves the same remainder when divided by x -2 or by x+1. By using remainder theorem, we can say that
...(i)
Substituting
in the given polynomial.
![P(-1)=2(-1)^3+m(-1)^2+n(-1)+c](https://tex.z-dn.net/?f=P%28-1%29%3D2%28-1%29%5E3%2Bm%28-1%29%5E2%2Bn%28-1%29%2Bc)
![P(-1)=-2+m-n+c](https://tex.z-dn.net/?f=P%28-1%29%3D-2%2Bm-n%2Bc)
Substituting
in the given polynomial.
![P(2)=2(2)^3+m(2)^2+n(2)+c](https://tex.z-dn.net/?f=P%282%29%3D2%282%29%5E3%2Bm%282%29%5E2%2Bn%282%29%2Bc)
![P(2)=2(8)+m(4)+2n+c](https://tex.z-dn.net/?f=P%282%29%3D2%288%29%2Bm%284%29%2B2n%2Bc)
![P(2)=16+4m+2n+c](https://tex.z-dn.net/?f=P%282%29%3D16%2B4m%2B2n%2Bc)
Now, substitute the values of P(2) and P(-1) in (i), we get
![16+4m+2n+c=-2+m-n+c](https://tex.z-dn.net/?f=16%2B4m%2B2n%2Bc%3D-2%2Bm-n%2Bc)
![16+4m+2n+c+2-m+n-c=0](https://tex.z-dn.net/?f=16%2B4m%2B2n%2Bc%2B2-m%2Bn-c%3D0)
![18+3m+3n=0](https://tex.z-dn.net/?f=18%2B3m%2B3n%3D0)
![3m+3n=-18](https://tex.z-dn.net/?f=3m%2B3n%3D-18)
Divide both sides by 3.
![\dfrac{3m+3n}{3}=\dfrac{-18}{3}](https://tex.z-dn.net/?f=%5Cdfrac%7B3m%2B3n%7D%7B3%7D%3D%5Cdfrac%7B-18%7D%7B3%7D)
![m+n=-6](https://tex.z-dn.net/?f=m%2Bn%3D-6)
Hence proved.