Answer:
Step-by-step explanation:
Notice that the focus is a points on the vertical axis, that means the parabolla opens vertically, and has the form
Because the parameter 
is positive and equal to 0.75. Additionally, the vertex is at the origin, that's why the equation is this simple.
Replacing the parameter value, we have
Therefore, the equation of a parabolla with vertex at the origin and focus at (0, 0.75) is .
An outlier number is the number that's completely different from the rest.
For example;
1, 15, 17, 16, 14.
"1" is the outlier.
Our list of numbers range (on average) from 7-12.
Let's look at our answer choices.
A.) There is one outlier that indicates an unusually large number of players on that team.
This is true, as we have 21, the one and only outlier in our list.
Your answer is A.)
I hope this helps!
Answer:
Step-by-step explanation:
The directrix is a vertical line, so the parabola is horizontal. The focus lies to the left of the directrix, so the parabola opens to the left.
For a left-opening parabola:
x = a(y-k)²+h,
a < 0,
vertex (h,k)
focal length p = 1/|4a|
focus (h-p, k)
directrix: x=h+p
Apply your data
focus (1,-4)
directrix x=2
vertex (1.5,-4).
focal length p = 0.5
a = -1/|4p| = -½
x = -½(y-2)²+ ½
Given that y varies inversely with x, then:
y=k/x
where
k is the constant of proportionality:
k=yx
hence, given that x=28 when y=2, then the value of k will be:
k=28×2
k=56
Answer: k=56
