I don’t understand how to do this . Any help would be appreciated thank you .
1 answer:
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If you use a proportion, you'll get:
Then, you use cross products:
Then, you algebraically solve x:
The answer is 5/3 inches , or 1 5/13 inches, or 1.6 repeating.
Then, you use cross products:
Then, you algebraically solve x:
The answer is 5/3 inches , or 1 5/13 inches, or 1.6 repeating.
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 .