Answer:
Step-by-step explanation:
Consider the system:

The matrix form of the system is:
![\begin {bmatrix} \dfrac{dx}{dt} \\ \\ \dfrac{dy}{dt} \\ \\ \dfrac{dz}{dt}\end {bmatrix} = \left[\begin{array}{ccc}-3&6&-9\\7&-1&0\\10&6&3\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right]](https://tex.z-dn.net/?f=%5Cbegin%20%7Bbmatrix%7D%20%20%20%5Cdfrac%7Bdx%7D%7Bdt%7D%20%5C%5C%20%5C%5C%20%5Cdfrac%7Bdy%7D%7Bdt%7D%20%5C%5C%20%5C%5C%20%5Cdfrac%7Bdz%7D%7Bdt%7D%5Cend%20%7Bbmatrix%7D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-3%266%26-9%5C%5C7%26-1%260%5C%5C10%266%263%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%5C%5Cy%5C%5Cz%5Cend%7Barray%7D%5Cright%5D)
Which can be written as:
![X' = \left[\begin{array}{ccc}-3&6&-9\\7&-1&0\\10&6&3\end{array}\right] X](https://tex.z-dn.net/?f=X%27%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-3%266%26-9%5C%5C7%26-1%260%5C%5C10%266%263%5Cend%7Barray%7D%5Cright%5D%20X)
where;
![X' = \begin {bmatrix} \dfrac{dx}{dt} \\ \\ \dfrac{dy}{dt} \\ \\ \dfrac{dz}{dt}\end {bmatrix} \ \ \ \& \ \ \ X = \left[\begin{array}{c}x\\y\\z\end{array}\right]](https://tex.z-dn.net/?f=X%27%20%3D%20%5Cbegin%20%7Bbmatrix%7D%20%20%20%5Cdfrac%7Bdx%7D%7Bdt%7D%20%5C%5C%20%5C%5C%20%5Cdfrac%7Bdy%7D%7Bdt%7D%20%5C%5C%20%5C%5C%20%5Cdfrac%7Bdz%7D%7Bdt%7D%5Cend%20%7Bbmatrix%7D%20%20%5C%20%5C%20%5C%20%5C%26%20%20%20%5C%20%5C%20%5C%20%20X%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%5C%5Cy%5C%5Cz%5Cend%7Barray%7D%5Cright%5D)
Answer:
|x| - |-x| = 0
Step-by-step explanation:
8 is the answer because you count up from the lower number
Answer:
2√13
Step-by-step explanation:
using the distance formula;
d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}
you plug the numbers in. once done you get 2√13.
Hope it helps!