Answer:
The second alternative is correct
Step-by-step explanation:
We have been given the expression;

The above expression can be re-written as;

On the other hand;
![y^{\frac{1}{3}}=\sqrt[3]{y}](https://tex.z-dn.net/?f=y%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%3D%5Csqrt%5B3%5D%7By%7D)
Therefore, we have;
![x^{9}\sqrt[3]{y}](https://tex.z-dn.net/?f=x%5E%7B9%7D%5Csqrt%5B3%5D%7By%7D)
Surface area of a cube is given by
SA=6a²
but
SA=150 in²
thus
150=6a²
solving for a we obtain:
150/6=a²
a²=25
thus
a=√25
a=5 inches
hence the side length is 5inches
Answer:


Step-by-step explanation:
The given system is:
4x-3y=8
5x-2y=-11
We make x the subject in the top equation to get:

Plug this expression for x in the bottom equation to get

We expand to obtain

Multiply through by 4

Group similar terms



This means


Answer:

Step-by-step explanation:
Given;
x² - 2x - 1 = 0
Solve by completing the square method;
⇒ take the constant to the right hand side of the equation.
x² - 2x = 1
⇒ take half of coefficient of x = ¹/₂ x -2 = -1
⇒ square half of coefficient of x and add it to the both sides of the equation


⇒ take the square root of both sides;

Therefore, option B is the right solution.