Answer:
This shows 3 pivot position matrixes.
Step-by-step explanation:
The given matrix is:
![\left[\begin{array}{ccc}1&-2&-5\\0&4&3\\-3&3&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26-2%26-5%5C%5C0%264%263%5C%5C-3%263%260%5Cend%7Barray%7D%5Cright%5D)
The option D is correct for this matrix.
The matrix is invertible and the given matrix has 3 pivot positions.
The matrix is invertible if its determinant is nonzero.
Multiply the 3rd row by 1/3.we get:
![\left[\begin{array}{ccc}1&-2&-5\\0&4&3\\-1&1&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26-2%26-5%5C%5C0%264%263%5C%5C-1%261%260%5Cend%7Barray%7D%5Cright%5D)
Now, add the first row with third row:
![\left[\begin{array}{ccc}0&-1&-5\\0&4&3\\-1&1&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%26-1%26-5%5C%5C0%264%263%5C%5C-1%261%260%5Cend%7Barray%7D%5Cright%5D)
Replace third row by first row:
![\left[\begin{array}{ccc}-1&1&0\\0&4&3\\0&-1&-5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%261%260%5C%5C0%264%263%5C%5C0%26-1%26-5%5Cend%7Barray%7D%5Cright%5D)
This shows 3 pivot position matrixes.
Hence, a matrix is invertible and has 3 pivot positions.
Answer: 
Step-by-step explanation:
<u>Given information</u>
Height = 2 m
Base = 5 m
Length = 15 m
<u>Given the formula for Triangular Prism Volume</u>


<u>Substitute values into the formula</u>

<u>Simplify by multiplication</u>


Hope this helps!! :)
Please let me know if you have any questions
Hello there!

Explanation:
↓↓↓↓↓↓↓↓↓↓↓↓
First you had to subtract by 7 from both sides of the equation.

Simplify

Then you add by x from both sides of the equation.

Simplify

Divide by 4 from both sides of the equation.

Simplify it should be the correct answer.

Answer⇒⇒⇒x=-2
Hope this helps!
Thank you for posting your question at here on Brainly.
Have a great day!
-Charlie
Answer:
Step-by-step explanation:
3 hope this helps :))
Answer:
1/6
Step-by-step explanation:
50% is 0.5 or 1/2 so you just multiply 1/3 by 1/2 to get 1/6