A horizontal line has points D, B, C. A line extends vertically from point B to point A. Given that Ray B A bisects ∠DBC, which
1 answer:
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Answer:
The equation of the parabola is .
Step-by-step explanation:
Since the directrix is of the form , the parabola is vertical. The vertex of the parabola (
) is the midpoint between the focus (
) and a point of the directrix (
), that is to say:
(1)
If we know that and
, then the coordinates of the vertex of the parabola:
The vertex factor () is the distance of the focus with respect to the vertex:
(2)
If we know that and
, then the vertex factor is:
The equation of the parabola in the vertex form is described below:
(3)
Where:
- Independent variable.
- Dependent variable.
- Coordinates of the vertex.
If we know that and
, then the equation of the parabola is
.
we know that
the perimeter of the rectangle is equal to
where
P is the perimeter of the rectangle
W is the width of the rectangle
L s the length of the rectangle
In this problem
Substitute the values in the formula above
therefore
the answer is
the length of the longer side of the rectangle is equal to