Answer:
![xy^\frac{2}{9} = x*\sqrt[9]{y^2}](https://tex.z-dn.net/?f=xy%5E%5Cfrac%7B2%7D%7B9%7D%20%3D%20x%2A%5Csqrt%5B9%5D%7By%5E2%7D)
Step-by-step explanation:
Given

Required
The equivalent expression (see attachment)
We have:

Split

Apply the following laws of indices
![y^\frac{m}{n} = \sqrt[n]{y^m}](https://tex.z-dn.net/?f=y%5E%5Cfrac%7Bm%7D%7Bn%7D%20%3D%20%5Csqrt%5Bn%5D%7By%5Em%7D)
So, we have:
![xy^\frac{2}{9} = x*\sqrt[9]{y^2}](https://tex.z-dn.net/?f=xy%5E%5Cfrac%7B2%7D%7B9%7D%20%3D%20x%2A%5Csqrt%5B9%5D%7By%5E2%7D)
<em>Hence (d) is correct</em>
Answer:

Step-by-step explanation:
1. Use the distributive property
5 ( x - 7 ) = 6 ( x + 2 ) → 5x - 35 = 6x + 12
2. Subtract 5x from both sides of the equation
5x - 5x -35 = 6x - 5x + 12 → -35 = x + 12
3. Subtract 12 from both sides
-35 - 12 = x + 12 - 12 → -47 = x
4. So, the answer is

Think of 180 divide by 3
it’ll give you 60
so there are 60 green apples
Setting up a right triangle, the 100 would be the hypotenuse, the 45 would be the angle of elevation, and you're looking for the opposite side.
Sin 45 = x/100
100sin45 = x
100 * ✓(2)/2 = x
50 ✓2 =x
x = 50✓2 ft