<u>Given</u>:
Given that the two sides of the triangle are x, 4.0 and 5.6
We need to determine the range of possible sizes for the side x.
<u>Range of x:</u>
The range of x can be determined using the triangle inequality theorem.
The triangle inequality theorem states that, "if any side of a triangle must be shorter than the other two sides added together".
Thus, applying the theorem, we have;
Also, the the triangle inequality theorem states that, "the third side must be also larger than the difference between the other two sides".
Thus, we have;
Thus, the range of possible values for x are
The area of the rectangle is 32 cm squared and the area of the triangle is 22 cm squared. When you add them together you get the area of the entire figure, which is 54 cm squared
Hope this helps!
Answer:
The<u> rise divided by the run </u>is the slope of a line. The rise and run are used to estimate the slope of a line from its graph.
To determine the intercepts from a graph, We <u>put y equal to zero</u> and solve for x to find the x-intercept. Similarly, we put x equal to zero and solve for y to find the y-intercept.
I'll assume the ODE is
Solve the homogeneous ODE,
The characteristic equation
has roots at and . Then the characteristic solution is
For nonhomogeneous ODE (1),
consider the ansatz particular solution
Substituting this into (1) gives
For the nonhomogeneous ODE (2),
take the ansatz
Substitute (2) into the ODE to get
Lastly, for the nonhomogeneous ODE (3)
take the ansatz
and solve for .
Then the general solution to the ODE is