X is the variable , 4 is the coefficient of x the variable
Answer:
1.
, 2. ![\left[\begin{array}{ccc}-8&-4&21\\-8&6&7\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-8%26-4%2621%5C%5C-8%266%267%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation
1. ![\left[\begin{array}{ccc}4&-3\\0&-1\\5&8\end{array}\right] - \left[\begin{array}{ccc}7&5\\-6&-4\\3&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%26-3%5C%5C0%26-1%5C%5C5%268%5Cend%7Barray%7D%5Cright%5D%20-%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D7%265%5C%5C-6%26-4%5C%5C3%260%5Cend%7Barray%7D%5Cright%5D)
To solve just that each in the first matrix block and substract with their equivalent in the second matrix block.
For example 4 -7 = -3, -3-5= -8
2. ![-2\left[\begin{array}{ccc}10&2&-3\\1&6&-5\end{array}\right] + 3\left[\begin{array}{ccc}4&0&5\\-2&6&-1\end{array}\right]](https://tex.z-dn.net/?f=-2%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D10%262%26-3%5C%5C1%266%26-5%5Cend%7Barray%7D%5Cright%5D%20%20%2B%203%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%260%265%5C%5C-2%266%26-1%5Cend%7Barray%7D%5Cright%5D)
Multiply first block with -2 and the second block by 3
![\left[\begin{array}{ccc}-20&-4&6\\-2&-12&10\end{array}\right] + \left[\begin{array}{ccc}12&0&15\\-6&18&-3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-20%26-4%266%5C%5C-2%26-12%2610%5Cend%7Barray%7D%5Cright%5D%20%2B%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D12%260%2615%5C%5C-6%2618%26-3%5Cend%7Barray%7D%5Cright%5D)
Add just the same as question 1
![\left[\begin{array}{ccc}-8&-4&21\\-8&6&7\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-8%26-4%2621%5C%5C-8%266%267%5Cend%7Barray%7D%5Cright%5D)
The main formula is
sector area = n / 360° x Pi r²
4 = n / 360 x r² = <span>n° / 36,
144° = n</span>
Distance she rode the bike = 2 miles.
Distance she walks = 4 miles ( to Justin's home) + 6 miles ( from Justin's home to her home) = 10 miles
The required difference = 10-2 = 8 miles