That picture doesn’t show that they are supplementary angles it’s shows that they are complementary angles.
Answer:
<h2>
The solution to the system of equation is x = 8, y = 13</h2>
Step-by-step explanation:
The system of equation using matrix equation can be solved using crammers rule. Given the equation;
7x-4y=4
10x-6y=2
The equation will be rewritten in the format AX = B
matrix A will be 2*2 matrix
X will be a column matrix containing the variables
B will be a column matrix
![\left[\begin{array}{cc}7&-4\\10&-6\\\end{array}\right] \left[\begin{array}{c}x&y\\\\\end{array}\right] = \right] \left[\begin{array}{c}4&2\\\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D7%26-4%5C%5C10%26-6%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%26y%5C%5C%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D4%262%5C%5C%5C%5C%5Cend%7Barray%7D%5Cright%5D)
first we will find the determinant of the matrix A

To get the value of x, we will substitute the column matrix at the right hand side to replace the first column pf matrix A, then we look for the determinant and divide the determinant by the determinant of matrix A itself.
![|X|=\left[\begin{array}{cc}4&-4\\2&-6\\\end{array}\right]\\|X|= -24+8\\|X|=-16](https://tex.z-dn.net/?f=%7CX%7C%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D4%26-4%5C%5C2%26-6%5C%5C%5Cend%7Barray%7D%5Cright%5D%5C%5C%7CX%7C%3D%20-24%2B8%5C%5C%7CX%7C%3D-16)
x = |X|/|A|
x = -16/-2
x = 8
Similarly for y, we will substitute the column matrix at the right hand side to replace the second column of matrix A, then we look for the determinant and divide the determinant by the determinant of matrix A itself.
![|Y|=\left[\begin{array}{cc}7&4\\10&2\\\end{array}\right]\\|Y|= 14-40\\|Y|=-26](https://tex.z-dn.net/?f=%7CY%7C%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D7%264%5C%5C10%262%5C%5C%5Cend%7Barray%7D%5Cright%5D%5C%5C%7CY%7C%3D%2014-40%5C%5C%7CY%7C%3D-26)
y = |Y|/|A|
y = -26/-2
y = 13
The solution to the system of equation is x = 8, y = 13
Answer:
38000
Step-by-step explanation:
=5*(88)^2 -720
=5*7744 -720
=38720-720
=38000
I did it without using calculator
Answer:
As x increase, y decreases.
The rate of change for y as a function of x is not constant, therefore the function is non-linear.
For all values of x, the function y > 0.
The y-intercept of the graph is the function value y = 8.
When x = 1, the function value y = 5.