Answer:
4.58257569 meters (Could probably get away with rounding it to 4.6 meters)
Step-by-step explanation:
Pythag theorem
a^2 +b^2 =c^2
Insert your numbers
10^2+b^2=11^2
Simplify squares
100+b^2=121
subtract 100 from both sides
b^2=21
sqrt both sides
sqrt(b^2)=sqrt(21)
simplify sqrts to get b
b= 4.58257569
Answer:
The answer to your question is x = 0 and x = 1
Step-by-step explanation:
Equation
![\frac{x}{x - 2} + \frac{x - 1}{x + 1} = -1](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7Bx%20-%202%7D%20%2B%20%5Cfrac%7Bx%20-%201%7D%7Bx%20%2B%201%7D%20%3D%20-1)
1)
![\frac{x(x + 1) + (x - 2)(x - 1)}{(x - 2)(x + 1)} = - 1](https://tex.z-dn.net/?f=%5Cfrac%7Bx%28x%20%2B%201%29%20%2B%20%28x%20-%202%29%28x%20-%201%29%7D%7B%28x%20-%202%29%28x%20%2B%201%29%7D%20%3D%20-%201)
Expand
2) x² + x + x² - x - 2x + 2 = -1(x - 2)(x + 1)
Simplify
3) 2x² -2x + 2 = -1(x² + x - 2x - 2)
4) 2x² - 2x + 2 = -x² + x + 2
Equal to zero
5) 2x² - 2x + 2 + x² - x - 2 = 0
6) 3x² - 3x = 0
Factor
7) 3x(x - 1) = 0
8) 3x₁ = 0 x₂ - 1 = 0
9) x₁ = 0/3 x₂ = 1
10) x₁ = 0 x₂ = 1
5!/2!=120/2= 60 arrangements
One weighs a pound and the other pounds away!