Answer:
189
Step-by-step explanation:
If you mean this, my answer is 3x63= 189
![{x}^{2} + {y}^{2} = 57 \\ xy = 3](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%2B%20%20%7By%7D%5E%7B2%7D%20%20%3D%2057%20%5C%5C%20xy%20%3D%203)
![{x}^{2} + {y}^{2} + 2xy = 57 + 2 \times 3](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%2B%20%20%7By%7D%5E%7B2%7D%20%20%2B%202xy%20%3D%2057%20%2B%202%20%5Ctimes%203)
![{(x + y)}^{2} = 63](https://tex.z-dn.net/?f=%20%7B%28x%20%2B%20y%29%7D%5E%7B2%7D%20%20%3D%2063)
![3 {(x + y)}^{2} = 3 \times 63 = 189](https://tex.z-dn.net/?f=3%20%7B%28x%20%2B%20y%29%7D%5E%7B2%7D%20%20%3D%203%20%5Ctimes%2063%20%3D%20189)
Answer:
<em>5</em><em> players participated in the tournament.</em>
Step-by-step explanation:
In a small chess tournament, 20 matches were played.
Let us assume that n number of players participated in the tournament
As in each game 2 players play, so the number of ways they can play is,
![=\ ^nC_2](https://tex.z-dn.net/?f=%3D%5C%20%5EnC_2)
As they played 2 games with every other participant in the tournament.
So the total number of games is,
![=\ 2\times ^nC_2](https://tex.z-dn.net/?f=%3D%5C%202%5Ctimes%20%5EnC_2)
But it is given to be 20, so
![\Rightarrow \ 2\times ^nC_2=20](https://tex.z-dn.net/?f=%5CRightarrow%20%5C%202%5Ctimes%20%5EnC_2%3D20)
![\Rightarrow \ ^nC_2=10](https://tex.z-dn.net/?f=%5CRightarrow%20%5C%20%5EnC_2%3D10)
![\Rightarrow \dfrac{n!}{2!(n-2)!}=10](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7Bn%21%7D%7B2%21%28n-2%29%21%7D%3D10)
![\Rightarrow \dfrac{n(n-1)}{2}=10](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7Bn%28n-1%29%7D%7B2%7D%3D10)
![\Rightarrow {n(n-1)=20](https://tex.z-dn.net/?f=%5CRightarrow%20%7Bn%28n-1%29%3D20)
As
, so we get n=5.
Therefore, 5 players participated in the tournament.
Answer:
1c 2d
Step-by-step explanation:
^-1 is just 1/x
(x^2)^2 is x^(2*2)
Answer:
1: 0.5 for the village market
1: 0.51 for the Sam's club
Step-by-step explanation:
Village market is the better buy because for 1 can, it costs 0.50, but at sam's club, one costs 0.51
we have to find the unit price for both of them, so 2.50 divided by 5 is 0.5
5.10 divided by 10 is 0.51
The Village Market is the better buy.