Answer:
C -2.2675
Irrational numbers cannot be expressed as a fraction for any integers and they have decimal expansions
Answer:
4x - 5y + 30 = 0
Step-by-step explanation:
When a slope of a line and a point passing through it is given then we use slope - one point form to determine the equation of the line.
It is given by:
![$ (y - y_1) = m (x - x_1) $](https://tex.z-dn.net/?f=%24%20%28y%20-%20y_1%29%20%3D%20m%20%28x%20-%20x_1%29%20%24)
where
is the slope of the line and
is the point passing through it.
Here
and
.
Substituting in the equation we get
![$ (y - 2) = \frac{4}{5} (x + 5) $](https://tex.z-dn.net/?f=%24%20%28y%20-%202%29%20%3D%20%5Cfrac%7B4%7D%7B5%7D%20%28x%20%2B%205%29%20%24)
![$ \implies 5y - 10 = 4x + 20 $](https://tex.z-dn.net/?f=%24%20%5Cimplies%205y%20-%2010%20%3D%204x%20%2B%2020%20%24)
![$ \implies 4x - 5y + 30 = 0 $](https://tex.z-dn.net/?f=%24%20%5Cimplies%204x%20-%205y%20%2B%2030%20%3D%200%20%24)
A. For y= 2x-1, the slope is 2 and the y intercept is -1. Therefore, we should first plot (0,-1). From there, for each increment of x, increase y by 2. For y= 4x-5, the slope is 4 and the y ntercelt is -5. Therefore we should plot (0,-5) and plot an increase of 4 on the y axis per increase of 1 on the x axis. The solution is where the lines cross.
B. (2,3)
Answer:
Yes
Step-by-step explanation:
To see is (2, 6) is a system, we can plug it into the system to check if it gives us true statements:
6 = -2+8
6 = 6
6 = 5(2)-4
6 = 10-4
6 = 6
Both of the equations are true, therefore (2, 6) is a solution to this system.
If you multiply or divide by a positive number the inequality sign DOES NOT CHANGE!
If you multiply or divide by a negative number the inequality sign flips around and becomes the opposite.