What is the value of x ??
2 answers:
You might be interested in
Given:
The focus of the parabola is at (6,-4).
Directrix at y=-7.
To find:
The equation of the parabola.
Solution:
The general equation of a parabola is:
...(i)
Where, (h,k) is vertex, (h,k+p) is the focus and y=k-p is the directrix.
The focus of the parabola is at (6,-4).
On comparing both sides, we get
...(ii)
Directrix at y=-7. So,
...(iii)
Adding (ii) and (iii), we get
Putting in (ii), we get
Putting in (i), we get
Therefore, the equation of the parabola is .
Answer:
172.76 yards.
Step-by-step explanation:
The dog chasing some birds got away from its owner by x yards (say).
It is clear from the problem that this x yards is the slant distance from the dog to the owner.
The vertical distance from the dog to the owner is given to be 30 yards, and the angle of elevation from the owner to the dog is 10°.
Therefore, we can write that
⇒ yards. (Answer)