For this case we must simplify the following expression:
![\sqrt {\frac {2160x ^ 8} {60x ^ 2}}](https://tex.z-dn.net/?f=%5Csqrt%20%7B%5Cfrac%20%7B2160x%20%5E%208%7D%20%7B60x%20%5E%202%7D%7D)
We rewrite the expression:
![\sqrt {\frac {60 * 36 * x ^ 8} {60x ^ 2}} =](https://tex.z-dn.net/?f=%5Csqrt%20%7B%5Cfrac%20%7B60%20%2A%2036%20%2A%20x%20%5E%208%7D%20%7B60x%20%5E%202%7D%7D%20%3D)
We eliminate common terms:
![\sqrt {\frac {36 * x ^ 8} {x ^ 2}} =](https://tex.z-dn.net/?f=%5Csqrt%20%7B%5Cfrac%20%7B36%20%2A%20x%20%5E%208%7D%20%7Bx%20%5E%202%7D%7D%20%3D)
For division of powers of the same base, the same base is placed and the exponents are subtracted:
![\sqrt {36x ^ {8-2}} =\\\sqrt {36x ^ {6}} =](https://tex.z-dn.net/?f=%5Csqrt%20%7B36x%20%5E%20%7B8-2%7D%7D%20%3D%5C%5C%5Csqrt%20%7B36x%20%5E%20%7B6%7D%7D%20%3D)
By definition of properties of powers and roots we have:
![\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%20%5E%20m%7D%20%3D%20a%20%5E%20%7B%5Cfrac%20%7Bm%7D%20%7Bn%7D%7D)
So:
![6x ^ {\frac {6} {2}} =\\6x ^ 3](https://tex.z-dn.net/?f=6x%20%5E%20%7B%5Cfrac%20%7B6%7D%20%7B2%7D%7D%20%3D%5C%5C6x%20%5E%203)
Answer:
Option C
Answer and Step-by-step explanation:
First, you want to graph the line of x = -1. This line is simply a vertical line running through (-1, 0).
The coordinates of each of the points are:
G(5, 9)
F(8, 9)
D(5, 6)
E(8, 6)
When we reflect point G over the line x = -1, we will get a point with the same y-coordinate, but with a different x-coordinate. Since 5 is 6 units away from -1, when you reflect G, the new x-coordinate will be -1 - 6 = -7. So, the new point for G is (-7, 9).
By similar reasoning for all the other points, we have:
F'(-10, 9)
D'(-7, 6)
E'(-10, 6)
Finally, just graph the points G'(-7, 9), F'(-10, 9), D'(-7, 6), and E'(-10, 6), and that's your new shape.
Hope this helps!
6.40=4n
6.4/4 = 4n/4
n=$1.60
n= notebook
p=price in $
Final Answer: $1.60 per notebook
Answer:
(-1,-2.5)
Step-by-step explanation:
Answer:
5%
Step-by-step explanation:
Bank amount=PA*(1+r/100)^t
4410=4000*(1+x/100)^2
1.05=(1+x/100), x=5%