Answer:
63.6m²
Step-by-step explanation:
The radius is 4.5m because it's half of the diameter.
Area = πr²
Area = π(4.5)² = 63.6m²
33 1/2 of 24= 67/2(into mixed number)*(of means times)24
67/2*24=1608/2=804
37 1/2 of 80=75/2*80=6000/2=3000
66 2/3 of 45=200/3*45=9000/3=3000
Answer:
1. Fill in the box with 1
2. Fill in the box with -2
Step-by-step explanation:
Expression:
![(-2x^3 + [\ ]x)(x^{[\ ]}+1.5) = A](https://tex.z-dn.net/?f=%28-2x%5E3%20%2B%20%5B%5C%20%5Dx%29%28x%5E%7B%5B%5C%20%5D%7D%2B1.5%29%20%3D%20A)
Solving (1): Fill in the box to make it a polynomial.
To make it a polynomial, we simply fill in the box with a positive integer (say 1)
Fill in the box with 1
![(-2x^3 + [1]x)(x^{[1]}+1.5) = A](https://tex.z-dn.net/?f=%28-2x%5E3%20%2B%20%5B1%5Dx%29%28x%5E%7B%5B1%5D%7D%2B1.5%29%20%3D%20A)
Remove the square brackets
![(-2x^3 + x)(x^1+1.5) = A](https://tex.z-dn.net/?f=%28-2x%5E3%20%2B%20x%29%28x%5E1%2B1.5%29%20%3D%20A)
![(-2x^3 + x)(x+1.5) = A](https://tex.z-dn.net/?f=%28-2x%5E3%20%2B%20x%29%28x%2B1.5%29%20%3D%20A)
Open bracket
![-2x^4 - 3x^3 + x^2 + 1.5x = A](https://tex.z-dn.net/?f=-2x%5E4%20-%203x%5E3%20%2B%20x%5E2%20%2B%201.5x%20%3D%20A)
Reorder
![A = -2x^4 - 3x^3 + x^2 + 1.5x](https://tex.z-dn.net/?f=A%20%3D%20-2x%5E4%20-%203x%5E3%20%2B%20x%5E2%20%2B%201.5x)
The above expression is a polynomial.
This will work for any positive integer filled in the box
Solving (2): Fill in the box to make it not a polynomial.
The powers of a polynomial are greater than or equal to 0.
So, when the boxes are filled with a negative integer (say -2), the expression will cease to be a polynomial
Fill in the box with -2
![(-2x^3 + [-2]x)(x^{[-2]}+1.5) = A](https://tex.z-dn.net/?f=%28-2x%5E3%20%2B%20%5B-2%5Dx%29%28x%5E%7B%5B-2%5D%7D%2B1.5%29%20%3D%20A)
Remove the square brackets
![(-2x^3 - 2x)(x^{-2}+1.5) = A](https://tex.z-dn.net/?f=%28-2x%5E3%20-%202x%29%28x%5E%7B-2%7D%2B1.5%29%20%3D%20A)
Reorder
![A = (-2x^3 - 2x)(x^{-2}+1.5)](https://tex.z-dn.net/?f=A%20%3D%20%28-2x%5E3%20-%202x%29%28x%5E%7B-2%7D%2B1.5%29)
Open brackets
![A = -2x-3x^3-2x^{-1}-3x](https://tex.z-dn.net/?f=A%20%3D%20-2x-3x%5E3-2x%5E%7B-1%7D-3x)
Collect Like Terms
![A = -3x^3-2x-3x-2x^{-1}](https://tex.z-dn.net/?f=A%20%3D%20-3x%5E3-2x-3x-2x%5E%7B-1%7D)
![A = -3x^3-5x-2x^{-1}](https://tex.z-dn.net/?f=A%20%3D%20-3x%5E3-5x-2x%5E%7B-1%7D)
Notice that the least power of x is -1.
Hence, this is not a polynomial.
Answer:
2
Step-by-step explanation:
I think :)
Answer:
x = 5/9
Step-by-step explanation:
1/3 +x = 8/9
We need to get a common denominator of 9
1/3 * 3/3 +x = 8/9
3/9 + x = 8/9
Subtract 3/9 from each side
3/9 - 3/9 +x = 8/9 - 3/9
x = 5/9