The gradient for a parallel line is the same.
perpendicular lines are negative reciprocals.
so all you have to do is re arrange it so y=Mx+b so the check out the gradients to what I listed above... remember y shouldn't have any number on it.
The fraction for 469 is 469/1.
-1/3 slope will make another perpendicular line
Answer:
![6A- 8B = \left[\begin{array}{ccc}56&50&-14\\-126&92&62\\-78&26&2\end{array}\right]](https://tex.z-dn.net/?f=6A-%208B%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D56%2650%26-14%5C%5C-126%2692%2662%5C%5C-78%2626%262%5Cend%7Barray%7D%5Cright%5D)
Option A is correct.
Step-by-step explanation:
![A=\left[\begin{array}{ccc}-4&-1&-9\\-9&6&9\\-1&-1&3\end{array}\right] \\B=\left[\begin{array}{ccc}-10&-7&-5\\9&-7&-1\\9&-4&2\end{array}\right]](https://tex.z-dn.net/?f=A%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-4%26-1%26-9%5C%5C-9%266%269%5C%5C-1%26-1%263%5Cend%7Barray%7D%5Cright%5D%20%5C%5CB%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-10%26-7%26-5%5C%5C9%26-7%26-1%5C%5C9%26-4%262%5Cend%7Barray%7D%5Cright%5D)
We need to find 6A - 8B
Multiply matrix A with 6 and matrix B with 8 and then subtract 6A - 8B
![6A=\left[\begin{array}{ccc}-24&-6&-54\\-54&36&54\\-6&-6&18\end{array}\right] \\8B=\left[\begin{array}{ccc}-80&-56&-40\\72&-56&-8\\72&-32&16\end{array}\right]\\6A - 8B =\left[\begin{array}{ccc}-24-(-80)&-6-(-56)&-54-(-40)\\-54-(72)&36-(-56)&54-(-8)\\-6-(72)&-6-(-32)&18-(16)\end{array}\right] \\6A - 8B =\left[\begin{array}{ccc}-24+80&-6+56&-54+40\\-54-72&36+56&54+8\\-6-72&-6+32&18-16\end{array}\right] \\6A- 8B = \left[\begin{array}{ccc}56&50&-14\\-126&92&62\\-78&26&2\end{array}\right]](https://tex.z-dn.net/?f=6A%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-24%26-6%26-54%5C%5C-54%2636%2654%5C%5C-6%26-6%2618%5Cend%7Barray%7D%5Cright%5D%20%5C%5C8B%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-80%26-56%26-40%5C%5C72%26-56%26-8%5C%5C72%26-32%2616%5Cend%7Barray%7D%5Cright%5D%5C%5C6A%20-%208B%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-24-%28-80%29%26-6-%28-56%29%26-54-%28-40%29%5C%5C-54-%2872%29%2636-%28-56%29%2654-%28-8%29%5C%5C-6-%2872%29%26-6-%28-32%29%2618-%2816%29%5Cend%7Barray%7D%5Cright%5D%20%5C%5C6A%20-%208B%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-24%2B80%26-6%2B56%26-54%2B40%5C%5C-54-72%2636%2B56%2654%2B8%5C%5C-6-72%26-6%2B32%2618-16%5Cend%7Barray%7D%5Cright%5D%20%5C%5C6A-%208B%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D56%2650%26-14%5C%5C-126%2692%2662%5C%5C-78%2626%262%5Cend%7Barray%7D%5Cright%5D)
So,
Option A is correct.
9/20
45% is 0.45. To switch into a fraction you do 45 over 100, simplified is 9/20.
