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Answer:
=45x√5x
Step-by-step explanation:
The provided expression is: 3√5x×3√25x²
We can simplify 3√25x² because √25x²=5x
3×5x=15x
Combine with the rest of the expression through multiplication.
3√5x×15x
=45x√5x
The expression 3√5x×3√25x² is equivalent to 45x√5x.
The expected simplified answer is 45x√5x
<h3>
Answer: C) 2</h3>
Explanation:
Recall that the general point-slope form is
where m is the slope and
is the point the line goes through. We see that the 2 and the m match up, so m = 2 is the slope.
Side note: We can rewrite that given equation into y - (-5) = 2(x - (-1)) to see that the line goes through the point (-1, -5)
For the first one it would be 10/3 ( 10 over 3 ) and for the second one, it would be 7/13 ( 7 over 13 ) PLUS 4i/13 ( 4i over 13)
Answer:


Step-by-step explanation:
<u>Equation Solving</u>
We are given the equation:
![\displaystyle x=\sqrt[3]{\frac{3y+16}{2y+9}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B3y%2B16%7D%7B2y%2B9%7D%7D)
i)
To make y as a subject, we need to isolate y, that is, leaving it alone in the left side of the equation, and an expression with no y's to the right side.
We have to make it in steps like follows.
Cube both sides:
![\displaystyle x^3=\left(\sqrt[3]{\frac{3y+16}{2y+9}}\right)^3](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%5E3%3D%5Cleft%28%5Csqrt%5B3%5D%7B%5Cfrac%7B3y%2B16%7D%7B2y%2B9%7D%7D%5Cright%29%5E3)
Simplify the radical with the cube:

Multiply by 2y+9

Simplify:

Operate the parentheses:


Subtract 3y and
:

Factor y out of the left side:

Divide by
:

ii) To find y when x=2, substitute:




