Answer:

Step-by-step explanation:
we know that
The directrix of the parabola is perpendicular to the axis of symmetry of the parabola
In this problem the directrix is y=-3.5
so
The axis of symmetry is parallel to the y-axis
we have a vertical parabola
Also, the vertex is at the origin
That means-----> the parabola open upward
The equation of a vertical parabola can be written as

where
p is the distance between the vertex and the directrix
In this problem
the distance between the vertex and the directrix is 3.5
----> the value of p is positive because the parabola open upward
substitute


isolate the variable y

9514 1404 393
Answer:
41.4
Step-by-step explanation:
The Law of Cosines tells you ...
a² = b² +c² -2bc·cos(A)
where sides a, b, c are opposite angles A, B, C, respectively. Filling in the given numbers, you have ...
a² = 30² +26² -2·30·26·cos(95°)
a² ≈ 1711.96
a ≈ √1711.96 ≈ 41.38
The length of BC is about 41.4 units.
Answer:
9 + 15 = 3(3 + 5)
Step-by-step explanation:
The greatest common factor of 9 and 15 is 3.
Factor 3 out of both 9 and 15.
9 + 15 = 3(3 + 5)
Answer:
B
Step-by-step explanation:
y = (x + 1)/x
xy = x + 1
xy - x = 1
x(y - 1) = 1
x = 1/(y - 1)
Interswitch variables
f^-1(x) = 1/(x - 1)