Answer:
215 mm
Step-by-step explanation:
1 cm = 10 mm
21.5 cm * (10 mm)/(1 cm) = 215 mm
Answer: 215 mm
First you should write 2 3/4 as a decimal, 2.75 then multiply 2.75 by 2 to get 5.5. 5.5 equals 5 1/2.
Ms. Addison needs 5 1/2 cups of flour.
. Multiplying the denominator by
gives
![x^2(x^2+2x+8)=x^4+2x^3+8x^2](https://tex.z-dn.net/?f=x%5E2%28x%5E2%2B2x%2B8%29%3Dx%5E4%2B2x%5E3%2B8x%5E2)
Subtracting this from the numerator gives a remainder of
![(x^4+x^3+7x^2-6x+8)-(x^4+2x^3+8x^2)=-x^3-x^2-6x+8](https://tex.z-dn.net/?f=%28x%5E4%2Bx%5E3%2B7x%5E2-6x%2B8%29-%28x%5E4%2B2x%5E3%2B8x%5E2%29%3D-x%5E3-x%5E2-6x%2B8)
. Multiplying the denominator by
gives
![-x(x^2+2x+8)=-x^3-2x^2-8x](https://tex.z-dn.net/?f=-x%28x%5E2%2B2x%2B8%29%3D-x%5E3-2x%5E2-8x)
and subtracting this from the previous remainder gives a new remainder of
![(-x^3-x^2-6x+8)-(-x^3-2x^2-8x)=x^2+2x+8](https://tex.z-dn.net/?f=%28-x%5E3-x%5E2-6x%2B8%29-%28-x%5E3-2x%5E2-8x%29%3Dx%5E2%2B2x%2B8)
This last remainder is exactly the same as the denominator, so
divides through it exactly and leaves us with 1.
What we showed here is that
![\dfrac{x^4+x^3+7x^2-6x+8}{x^2+2x+8}=x^2-\dfrac{x^3+x^2+6x-8}{x^2+2x+8}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%5E4%2Bx%5E3%2B7x%5E2-6x%2B8%7D%7Bx%5E2%2B2x%2B8%7D%3Dx%5E2-%5Cdfrac%7Bx%5E3%2Bx%5E2%2B6x-8%7D%7Bx%5E2%2B2x%2B8%7D)
![=x^2-x+\dfrac{x^2+2x+8}{x^2+2x+8}](https://tex.z-dn.net/?f=%3Dx%5E2-x%2B%5Cdfrac%7Bx%5E2%2B2x%2B8%7D%7Bx%5E2%2B2x%2B8%7D)
![=x^2-x+1](https://tex.z-dn.net/?f=%3Dx%5E2-x%2B1)
and this last expression is the quotient.
To verify this solution, we can simply multiply this by the original denominator:
![(x^2+2x+8)(x^2-x+1)=x^2(x^2-x+1)+2x(x^2-x+1)+8(x^2-x+1)](https://tex.z-dn.net/?f=%28x%5E2%2B2x%2B8%29%28x%5E2-x%2B1%29%3Dx%5E2%28x%5E2-x%2B1%29%2B2x%28x%5E2-x%2B1%29%2B8%28x%5E2-x%2B1%29)
![=(x^4-x^3+x^2)+(2x^3-2x^2+2x)+(8x^2-8x+8)](https://tex.z-dn.net/?f=%3D%28x%5E4-x%5E3%2Bx%5E2%29%2B%282x%5E3-2x%5E2%2B2x%29%2B%288x%5E2-8x%2B8%29)
![=x^4+x^3+7x^2-6x+8](https://tex.z-dn.net/?f=%3Dx%5E4%2Bx%5E3%2B7x%5E2-6x%2B8)
which matches the original numerator.
The answer is 5.
You just plug whatever number is in the f(?) part in for x!
Answer:
The 8 will end up in the ones place.
Step-by-step explanation:
If you want to divide 2380 by 10… sry gtg