Its 75 because you at the 2 variables and then subtract them by 180 so 180-105=75
You will need to set equations to solve for x and y coordinate.
(2+x)/2=4
2+x=8
x=6
(6+y)/2=10
6+y=20
y=14
The answer is A. (6,14)
K is the slope of the line formed by connecting the points.
Use slope formula:
where the 2 points are the end points of the line (First and last going Left to right)
Substitute into slope formula
You can check if this is correct by going back to graph and going "up 7" and "over 2" to get from one point to the next.
Answer:
Step-by-step explanation:
This is a homogeneous linear equation. So, assume a solution will be proportional to:
Now, substitute into the differential equation:
Using the characteristic equation:
Factor out
Where:
Therefore the zeros must come from the polynomial:
Solving for :
These roots give the next solutions:
Where and are arbitrary constants. Now, the general solution is the sum of the previous solutions:
Using Euler's identity:
Redefine:
Since these are arbitrary constants
Now, let's find its derivative in order to find and
Evaluating :
Evaluating :
Finally, the solution is given by: