Answer:
Step-by-step explanation:
The slope of straight line PR where P(2,3) and R(5,-1) are two vertices of triangle PQR will be =
Therefore, the slope of the altitude passing through Q(-1,1) will be
{Since, the product of slopes of two perpendicular straight line is -1}
So, equation of the altitude is
where c is a constant.
Now, putting x = -1 and y = 1 in the above equation we get
⇒
Therefore, the equation of the altitude is
(Answer)
Answer:
I put the numbers first because it was easier for me to do but if it confuses you I can redo it
1. C
2. D
3. F
4. B
5. E
6. A
Answer:

Step-by-step explanation:
Rewrite the equation as:

Isolating 

Factor:

Dividing both sides by
and multiplying them by 

Integrate both sides:

Evaluate the integrals:

Solving for y:

Evaluating the initial condition:


Converting 60 degrees to radians:

Replacing
in the diferential equation solution:

Answer:
see explanation
Step-by-step explanation:
If f(x) and g(x) are the inverses of each other, then
f(g(x)) = g(f(x)) = x
f(g(x)) = f(x -
) = x -
+
= x
g(f(x)) = g(x +
) = x +
-
= x
Hence f(x) and g(x) are the inverse of each other