X^2 + y^2 = 5
y = 2x
The second equation is solved for y, so substitute it in the first equation.
x^2 + (2x)^2 = 5
x^2 + 4x^2 = 5
5x^2 = 5
x^2 = 1
x^2 - 1 = 0
(x + 1)(x - 1) = 0
x = -1 or x = 1
Now substitute both values of x in the second equation and solve for y.
y = 2x
For x = -1
y = 2(-1)
y = -2
For x = 1
y = 2(1)
y = 2
Solution: (-1, -2), (1, 2)
Answer:
Solving the expression
we get 6
The answer is 6.
Step-by-step explanation:
We need to find value of expression: ![\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-\frac{18}{\sqrt{81} } -2)](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B%5Csqrt%5B6%5D%7B8%7D%20%7D.%5Csqrt%7B2%7D-%28-%5Cfrac%7B18%7D%7B%5Csqrt%7B81%7D%20%7D%20-2%29)
We know that 
Our expression will become
![\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-\frac{18}{\sqrt{81} } -2)\\=\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-\frac{18}{9 } -2)\\=\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-2 -2)\\=\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-4)\\=\frac{2}{\sqrt[6]{8} }.\sqrt{2}+4](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B%5Csqrt%5B6%5D%7B8%7D%20%7D.%5Csqrt%7B2%7D-%28-%5Cfrac%7B18%7D%7B%5Csqrt%7B81%7D%20%7D%20-2%29%5C%5C%3D%5Cfrac%7B2%7D%7B%5Csqrt%5B6%5D%7B8%7D%20%7D.%5Csqrt%7B2%7D-%28-%5Cfrac%7B18%7D%7B9%20%7D%20-2%29%5C%5C%3D%5Cfrac%7B2%7D%7B%5Csqrt%5B6%5D%7B8%7D%20%7D.%5Csqrt%7B2%7D-%28-2%20-2%29%5C%5C%3D%5Cfrac%7B2%7D%7B%5Csqrt%5B6%5D%7B8%7D%20%7D.%5Csqrt%7B2%7D-%28-4%29%5C%5C%3D%5Cfrac%7B2%7D%7B%5Csqrt%5B6%5D%7B8%7D%20%7D.%5Csqrt%7B2%7D%2B4)
We can write ![\sqrt[6]{8}=(2^3)^{\frac{1}{6}}=(2)^{\frac{3}{6}}=2^\frac{1}{2}=\sqrt{2} \\](https://tex.z-dn.net/?f=%5Csqrt%5B6%5D%7B8%7D%3D%282%5E3%29%5E%7B%5Cfrac%7B1%7D%7B6%7D%7D%3D%282%29%5E%7B%5Cfrac%7B3%7D%7B6%7D%7D%3D2%5E%5Cfrac%7B1%7D%7B2%7D%3D%5Csqrt%7B2%7D%20%20%5C%5C)
Now, replacing ![\sqrt[6]{8}=\sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%5B6%5D%7B8%7D%3D%5Csqrt%7B2%7D)
![=\frac{2}{\sqrt[6]{8} }.\sqrt{2}+4\\=\frac{2}{\sqrt{2} }.\sqrt{2}+4\\=2+4\\=6](https://tex.z-dn.net/?f=%3D%5Cfrac%7B2%7D%7B%5Csqrt%5B6%5D%7B8%7D%20%7D.%5Csqrt%7B2%7D%2B4%5C%5C%3D%5Cfrac%7B2%7D%7B%5Csqrt%7B2%7D%20%7D.%5Csqrt%7B2%7D%2B4%5C%5C%3D2%2B4%5C%5C%3D6)
So, solving the expression
we get 6
1, because 1 1/3 is only 1/3, or 0.3 recurring, away from 1, but it is 2/3, or 0.6 recurring, away from 2.
-3 1/12 should be your main answer :3
one more point. because bobcats scored
14 and huskies scored 15