Answer:
Step-by-step explanation:
We have the following system
![\left[\begin{matrix} 4 & -2 \\ 2 & 1 \end{matrix}\right]x =\left[\begin{matrix} 8 \\ 2 \end{matrix}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Bmatrix%7D%204%20%26%20-2%20%5C%5C%202%20%26%201%20%5Cend%7Bmatrix%7D%5Cright%5Dx%20%3D%5Cleft%5B%5Cbegin%7Bmatrix%7D%208%20%5C%5C%202%20%5Cend%7Bmatrix%7D%5Cright%5D)
The number of solutions depend on the determinant of the matrix of the system. If the determinant is different from 0, then it has one unique solution, if it 0 then it has infinite solutions.
Note that the determinant of a matrix
![\left[\begin{matrix} a & b \\ c & d \end{matrix}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Bmatrix%7D%20a%20%26%20b%20%5C%5C%20c%20%26%20d%20%5Cend%7Bmatrix%7D%5Cright%5D)
is ad-bc. So in our case we have 4*1-(-2)*2 = 8 which is not 0. Then the system has an unique solution.
Answer:
y = -2x + 9
Step-by-step explanation:
The slope of the line can be found from 2 points.
(y2-y1)/(x2-x1)
7-3/1-3
4/-2
= -2
-2 is the slope.
The y-intercept is 9.
The equation of a line is y=mx+b.
m is the slope, and b is the y-intercept.
y = -2x + 9
You need to ask the question while you say you have troubles, But what can I help you with?
Answer:
hi there is that something you can block
using the given coordinates, the rectangle is 7 by 3 units
area = 7*3 = 21 square units
