Answer:
6 -
![\frac{50}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B50%7D%7B9%7D)
3² -
![8\frac{1}{3}](https://tex.z-dn.net/?f=8%5Cfrac%7B1%7D%7B3%7D)
7 -
= ![\frac{55}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B55%7D%7B8%7D)
Step-by-step explanation:
1. 6 - ![(\frac{2}{3} )^{2}](https://tex.z-dn.net/?f=%28%5Cfrac%7B2%7D%7B3%7D%20%29%5E%7B2%7D)
First, apply the exponent to 2/3. Because it's to the second power, multiply 2/3 by itself.
![(\frac{2}{3} )^{2}=\frac{4}{9}](https://tex.z-dn.net/?f=%28%5Cfrac%7B2%7D%7B3%7D%20%29%5E%7B2%7D%3D%5Cfrac%7B4%7D%7B9%7D)
6 - ![\frac{4}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B9%7D)
Now, subtract.
6 -
= ![\frac{50}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B50%7D%7B9%7D)
------------------------------------------
2. 3² - ![\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D)
First, apply the exponent.
3² = 9
9 - ![\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D)
Now, subtract.
9 - ![\frac{2}{3}=\frac{25}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%3D%5Cfrac%7B25%7D%7B3%7D)
![\frac{25}{3} =8\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B25%7D%7B3%7D%20%3D8%5Cfrac%7B1%7D%7B3%7D)
------------------------------------------
3. 7 - ![(\frac{1}{2} )^{3}](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B2%7D%20%29%5E%7B3%7D)
First, apply the exponent.
= ![\frac{1}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B8%7D)
7 - ![\frac{1}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B8%7D)
Now, subtract.
7 - ![\frac{1}{8}=\frac{55}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B8%7D%3D%5Cfrac%7B55%7D%7B8%7D)
hope this helps!
Answer:
The first choice.
Step-by-step explanation:
The area is multiplied by (1/2)^2 = 1/4.
This is because lengths are one dimensional and areas are 2 dimensional.
Down 11, left 2 is the transition
40 miles an hour and yeah..
Answer:
3
Step-by-step explanation:
![( \sqrt{3} + \sqrt{6) } \times ( \sqrt{6} - \sqrt{3} )](https://tex.z-dn.net/?f=%28%20%5Csqrt%7B3%7D%20%20%2B%20%20%5Csqrt%7B6%29%20%7D%20%20%5Ctimes%20%28%20%5Csqrt%7B6%7D%20%20-%20%20%5Csqrt%7B3%7D%20%29)
![( \sqrt{6} + \sqrt{3} ) \times ( \sqrt{6} - \sqrt{3)}](https://tex.z-dn.net/?f=%28%20%5Csqrt%7B6%7D%20%20%2B%20%20%5Csqrt%7B3%7D%20%29%20%5Ctimes%20%28%20%5Csqrt%7B6%7D%20%20-%20%20%5Csqrt%7B3%29%7D%20)
![6 - 3](https://tex.z-dn.net/?f=6%20-%203)
![3](https://tex.z-dn.net/?f=3)