Answer:#1- 3.0 in. #2- 11.0 in.
Step-by-step explanation:
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
.
3/4 = x / 7.5
4x = 3(7.5)
4x = 22.5
x = 5.625
The answer is A. Because you can’t lose the amount of steps you took.
CD and DE are equal distance so their equations are equal:
2x+7 = 4(x-3)
2x+7 = 4x-12
Subtract 2x from both sides
7 = 2x-12
Add 12 to both sides
19 = 2x
9.5 = x
Now that u have x just plug it into the equation for DE
4(9.5-3)
38-12
26 is the answer