Answer:
associative property with respect to addition and subtraction
3+[7+(-4)]=(3+7)+(-4)
3+[7-4]=10+(-4)
3+3=10-4
6=6
Step-by-step explanation:
i hope it will help you
frankly yes, because when you want inverse a function you must inverse it with line x=y
so when you inverse a function Df and Rf will convert together!
Given:
- Surface area of cube = 150 ft²
To Find:
Solution:
As here in Question we are given Surface area of cube is 150 sq. feet. So, firstly we have find the side of edge of cube. Let 'a' be the edge of the cube
We know that,

Substituting the required values,

- Edge of the cube is 5 feet
Now,

Hence,
- Volume of the cube is 125 cu. feet
I think that is D cus you take 10 off
Answer:
Step-by-step explanation:
![CI=\left[\begin{array}{ccc}1&6&0\\0&1&2\\1&-1&3\end{array}\right] \left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]](https://tex.z-dn.net/?f=CI%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%266%260%5C%5C0%261%262%5C%5C1%26-1%263%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%260%5C%5C0%261%260%5C%5C0%260%261%5Cend%7Barray%7D%5Cright%5D)
Subtract row 3 from row 1:
![\left[\begin{array}{ccc}1&6&0\\0&1&2\\0&7&-3\end{array}\right] \left[\begin{array}{ccc}1&0&0\\0&1&0\\1&0&-1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%266%260%5C%5C0%261%262%5C%5C0%267%26-3%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%260%5C%5C0%261%260%5C%5C1%260%26-1%5Cend%7Barray%7D%5Cright%5D)
Subtract row 3 from 7 times row 2:
![\left[\begin{array}{ccc}1&6&0\\0&1&2\\0&0&17\end{array}\right] \left[\begin{array}{ccc}1&0&0\\0&1&0\\-1&7&1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%266%260%5C%5C0%261%262%5C%5C0%260%2617%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%260%5C%5C0%261%260%5C%5C-1%267%261%5Cend%7Barray%7D%5Cright%5D)
Divide row 3 by 17:
![\left[\begin{array}{ccc}1&6&0\\0&1&2\\0&0&1\end{array}\right] \left[\begin{array}{ccc}1&0&0\\0&1&0\\\frac{-1}{17} &\frac{7}{17} &\frac{1}{17} \end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%266%260%5C%5C0%261%262%5C%5C0%260%261%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%260%5C%5C0%261%260%5C%5C%5Cfrac%7B-1%7D%7B17%7D%20%26%5Cfrac%7B7%7D%7B17%7D%20%26%5Cfrac%7B1%7D%7B17%7D%20%5Cend%7Barray%7D%5Cright%5D)
Subtract 2 of row 3 from row 2:
![\left[\begin{array}{ccc}1&6&0\\0&1&0\\0&0&1\end{array}\right] \left[\begin{array}{ccc}1&0&0\\\frac{2}{17} &\frac{3}{17} &\frac{-2}{17} \\\frac{-1}{17} &\frac{7}{17} &\frac{1}{17} \end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%266%260%5C%5C0%261%260%5C%5C0%260%261%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%260%5C%5C%5Cfrac%7B2%7D%7B17%7D%20%26%5Cfrac%7B3%7D%7B17%7D%20%26%5Cfrac%7B-2%7D%7B17%7D%20%5C%5C%5Cfrac%7B-1%7D%7B17%7D%20%26%5Cfrac%7B7%7D%7B17%7D%20%26%5Cfrac%7B1%7D%7B17%7D%20%5Cend%7Barray%7D%5Cright%5D)
Subtract 6 of row 2 from row 1:
![\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right] \left[\begin{array}{ccc}\frac{5}{17}&\frac{-18}{17}&\frac{12}{17}\\\frac{2}{17} &\frac{3}{17} &\frac{-2}{17} \\\frac{-1}{17} &\frac{7}{17} &\frac{1}{17} \end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%260%5C%5C0%261%260%5C%5C0%260%261%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%5Cfrac%7B5%7D%7B17%7D%26%5Cfrac%7B-18%7D%7B17%7D%26%5Cfrac%7B12%7D%7B17%7D%5C%5C%5Cfrac%7B2%7D%7B17%7D%20%26%5Cfrac%7B3%7D%7B17%7D%20%26%5Cfrac%7B-2%7D%7B17%7D%20%5C%5C%5Cfrac%7B-1%7D%7B17%7D%20%26%5Cfrac%7B7%7D%7B17%7D%20%26%5Cfrac%7B1%7D%7B17%7D%20%5Cend%7Barray%7D%5Cright%5D)
![C^{-1}=\frac{1}{17} \left[\begin{array}{ccc}5&-18&12\\2&3&-2\\-1&7&1\end{array}\right]](https://tex.z-dn.net/?f=C%5E%7B-1%7D%3D%5Cfrac%7B1%7D%7B17%7D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%26-18%2612%5C%5C2%263%26-2%5C%5C-1%267%261%5Cend%7Barray%7D%5Cright%5D)
![C^{-1}b=\frac{1}{17} \left[\begin{array}{ccc}5&-18&12\\2&3&-2\\-1&7&1\end{array}\right]\left[\begin{array}{c}10&1&3\end{array}\right]=\left[\begin{array}{c}4&1&0\end{array}\right]](https://tex.z-dn.net/?f=C%5E%7B-1%7Db%3D%5Cfrac%7B1%7D%7B17%7D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%26-18%2612%5C%5C2%263%26-2%5C%5C-1%267%261%5Cend%7Barray%7D%5Cright%5D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D10%261%263%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D4%261%260%5Cend%7Barray%7D%5Cright%5D)