Answer:
The answer is
![\sqrt[3]{ {x}^{2} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B%20%7Bx%7D%5E%7B2%7D%20%7D%20)
Step-by-step explanation:

Since they have the same base and are dividing we can use the rules of indices
That's
subtract the exponents
So we have



Rewriting it in radical form
We have the final answer as
![\sqrt[3]{ {x}^{2} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B%20%7Bx%7D%5E%7B2%7D%20%7D%20)
Hope this helps you
Answer:
The length of each side of the cube is 
Step-by-step explanation:
we know that
The volume of a cube is equal to

but remember that in a cube
Length, width and height have the same value
so
Let
b-----> the length side of the cube

substitute in the formula

In this problem we have

substitute and solve for b

![b=\sqrt[3]{\frac{1}{512}}\\ \\b=\frac{1}{8}\ m](https://tex.z-dn.net/?f=b%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B1%7D%7B512%7D%7D%5C%5C%20%5C%5Cb%3D%5Cfrac%7B1%7D%7B8%7D%5C%20m)
therefore
The length of each side of the cube is 
Answer:
y = 3x - 9
Step-by-step explanation:
We first need to find the slope (m)
m =
=
=
= 3
y = mx + b
y = 3x + b
(4, 3)
y = 3x + b
3 = 3(4) + b
3 = 12 + b
-12 -12
-9 = b
(1, –6)
y = 3x + b
-6 = 3(1) + b
-6 = 3 + b
-3 -3
-9 = b
y = 3x - 9
To check: (1, –6)
y = 3x - 9
-6 = 3(1) - 9
-6 = 3 - 9
-6 = -6
Hope this helps!
Answer:
D
Step-by-step explanation:
The correct answer choice is D. Note how BC and MN appear to have nearly the same lengths, whereas none of the other statements are true. Note, also, that this diagram is not to scale; you could make the problem easier by redrawing MNOP so that it has the same orientation as does ABCD and the same corresponding side lengths.
Answer:
x=50
Step-by-step explanation:
-0.2(x-20)=44-x
Distribute
-0.2x+4=44-x
Add x to each side
-.2x +4+x = 44-x+x
.8x+4 = 44
Subtract 4 from each side
.8x+4-4 = 44-4
.8x = 40
Divide each side by .8
.8x/.8 = 40/.8
x=50