Where p is the distance the focus is above the vertex, the equation of a parabola with vertex (h, k) can be written as
... y = 1/(4p)·(x -h)² +k
The vertex is halfway between the focus and directrix. The focus of your parabola is on the y-axis at y=6, and the directrix of your parabola is at y=-6, so the vertex of your parabola is on the y-axis at y=0. That is, the vertex is
... (h, k) = (0, 0).
The distance p from the focus at y=6 to the vertex at y=0 is 6 units, so
... p = 6.
Filling these values into the equation gives
... y = 1/(4·6)·(x -0)² +0
... y = (1/24)x²
Answer:
y - 13 = 5(x + 2)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Given y = 5x - 3 in slope- intercept form
with slope m = 5, then
m = 5 and (a, b) = (- 2, 13)
y - 13 = 5(x - (- 2)), that is
y - 13 = 5(x + 2) ← in point- slope form
Answer: OPTION D: 
Step-by-step explanation:
By definiton, fractions have the following form:
Where "a" is called numerator and "b" is the denominator. The numerator and the denominator are Integers.
In order to solve this exercise you need to remember de Division of fractions:
In this case, according to the information given in the exercise, you know that 
of rubies are divided into 4 lots.
Therefore, in order to calculate the weight in pounds of each lot, you need to divide by 4.
Then, you get the following result:
As you can notice, this result matches with the Option D.
Answer:
61 km/s
Step-by-step explanation:
First, you count the number of hours he travelled: 22
Next, divide the distance he travelled, 1342, by the time he travelled, 22, 
The answers are 22, 23, and 24
