The two labeled angles are alternate interior angles, and as such, they are the same.
From this result you can build the equation
and solve it for x: subtract 13x from both sides to get
and add 2 to both sides to get
Check: if we plug the value we found we have
So the angles are actually the same, as requested.
Answer:
{12,2}
Step-by-step explanation:
From the given graph it is clear that the initial point of the vector is (-5,0) and the terminal point (7,2).
If initial point of a vector is and terminal point is
, then
Using this formula, we get
Using braces, we get
Therefore, the required vector is {12,2}.
If and
, separate variables in the differential equation to get
Integrate both sides:
Use the initial condition to solve for :
Then the particular solution to the initial value problem is
(A)