Answer:
To simplify first factorize both the numerator and the denominator
For the numerator
5x² + 20xy + 20y²
Factor 5 out
5 ( x² + 4xy + 4y²)
Using a² + 2ab + b² = ( a + b)²
The numerator is
5( x + 2y)²
For the denominator
x² - xy - 6y²
Rewrite -xy as a difference
x² + 2xy - 3xy - 6y²
Factorize
We have the denominator as
( x + 2y)( x - 3y)
So we now have
<h2>Simplify
<h2>We have the final answer as
<h2>Hope this helps you
Answer:
40.5 centimeters.
Step-by-step explanation:
Given:
The width of the prism is 3 centimeters.
The width of the prism is 1/3 of its length.
The height of a rectangular prism is half its width.
To find:
<u>Volume of a rectangular prism = ?</u>
Solution:
Width of the prism = 3 cm
As given, height of a rectangular prism is half its width.
height of a rectangular prism =
Similarly, as given, the width of the prism is 1/3 of its length.
Width of the prism =
By multiplying both sides by 3
Thus, length of prism = 9 cm
Now, as we know:
Therefore, the volume of a rectangular prism is 40.5 centimeters.
Answer:
0.23
Step-by-step explanation:
use sine rule
sinQ/q=sinR/r
