<span>Number
line is a way of expressing an integer into a line.
We have the given numbers:
Let x = -5
and Let y = 3
Now let’s create line with 0 in the center. Pls. see the attached image for the
number line presentation.
The answer is -2</span><span>
</span>
Answer:
x = 2.25
Step-by-step explanation:
-9(x - 5) = x + 22 1/2
Distribute the nine and then add 9x to both sides
-9x + 45 = x +22 1/2
+ 9x + 9x
Then try to get x alone
45 = 10x + 22 1/2
-22 1/2 -22 1/2
22.5 = 10x
![\frac{22.5}{10} = \frac{10x}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B22.5%7D%7B10%7D%20%3D%20%5Cfrac%7B10x%7D%7B10%7D)
2.25 = x
Answer:
Option (B) is correct.
To prove
As given the epression in the question is given by
![= 5\sqrt{8} - \sqrt{18} - 2 \sqrt{2}](https://tex.z-dn.net/?f=%3D%205%5Csqrt%7B8%7D%20-%20%5Csqrt%7B18%7D%20-%202%20%5Csqrt%7B2%7D)
Now simplify the above
Terms are written as
![\sqrt{8} = \sqrt{2\times 2\times 2} = 2 \sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B8%7D%20%3D%20%5Csqrt%7B2%5Ctimes%202%5Ctimes%202%7D%20%3D%202%20%5Csqrt%7B2%7D)
![\sqrt{18} = \sqrt{3\times 3\times 2} = 3 \sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B18%7D%20%3D%20%5Csqrt%7B3%5Ctimes%203%5Ctimes%202%7D%20%3D%203%20%5Csqrt%7B2%7D)
Put in the above expression.
![= 5\times 2 \sqrt{2} -3 \sqrt{2} - 2 \sqrt{2}](https://tex.z-dn.net/?f=%3D%205%5Ctimes%202%20%5Csqrt%7B2%7D%20-3%20%5Csqrt%7B2%7D%20-%202%20%5Csqrt%7B2%7D)
![= 10 \sqrt{2} -5 \sqrt{2}](https://tex.z-dn.net/?f=%3D%2010%20%5Csqrt%7B2%7D%20-5%20%5Csqrt%7B2%7D)
![=5 \sqrt{2}](https://tex.z-dn.net/?f=%3D5%20%5Csqrt%7B2%7D)
![Therefore\ the\ expression\ 5\sqrt{8} - \sqrt{18} - 2 \sqrt{2}\ is\ equivalent\ to\ 5 \sqrt{2} .](https://tex.z-dn.net/?f=Therefore%5C%20the%5C%20expression%5C%205%5Csqrt%7B8%7D%20-%20%5Csqrt%7B18%7D%20-%202%20%5Csqrt%7B2%7D%5C%20is%5C%20equivalent%5C%20to%5C%205%20%5Csqrt%7B2%7D%20.)
Answer:
66
Step-by-step explanation:
11 times 6 = 66