The slope is 0. This is since the line is actually vertical
Answer:
In mathematics, the determinant is a scalar value that is a function of the entries of a square matrix. It allows characterizing some properties of the matrix and the linear map represented by the matrix.
He would have about 3 gallons of gas
Answer:
{1}
Step-by-step explanation:
We find determinant for the given matrix and set it equal to -1
To find determinant we apply formula
![|A| = a_{11}(a_{22}a_{33} − a_{32}a_{23}) - a_{12}(a_{21}a_{33} − a_{31}a_{23})+a_{13}(a_{21}a_{32} - a_{31}a_{22})](https://tex.z-dn.net/?f=%7CA%7C%20%3D%20a_%7B11%7D%28a_%7B22%7Da_%7B33%7D%20%E2%88%92%20a_%7B32%7Da_%7B23%7D%29%20-%20a_%7B12%7D%28a_%7B21%7Da_%7B33%7D%20%E2%88%92%20a_%7B31%7Da_%7B23%7D%29%2Ba_%7B13%7D%28a_%7B21%7Da_%7B32%7D%20-%20a_%7B31%7Da_%7B22%7D%29)
![|A| = x(1x - 2) - 0(7-7) + 0(14-7x)](https://tex.z-dn.net/?f=%7CA%7C%20%3D%20x%281x%20-%202%29%20-%200%287-7%29%20%2B%200%2814-7x%29%20)
|A| = x^2 - 2x
Now we set the determinant = -1
![x^2 - 2x=-1](https://tex.z-dn.net/?f=x%5E2%20-%202x%3D-1)
Add 1 on both sides
![x^2 - 2x + 1=0](https://tex.z-dn.net/?f=x%5E2%20-%202x%20%2B%201%3D0)
Now factor it
(x-1)(x-1) = 0
Set each factor =0 and solve for x
x- 1=0 so x=1