Answer:
y = 1/12 (x − 5)²
Step-by-step explanation:
We can solve this graphically without doing calculations.
The y component of the focus is y = 3. Since this is above the directrix, we know this is an upward facing parabola, so it must have a positive coefficient. That narrows the possible answers to A and C.
The x component of the focus is x = 5. Since this is above the vertex, we know the x component of the vertex is also x = 5.
So the answer is A. y = 1/12 (x−5)².
But let's say this wasn't a multiple choice question and we needed to do calculations. The equation of a parabola is:
y = 1/(4p) (x − h)² + k
where (h, k) is the vertex and p is the distance from the vertex to the focus.
The vertex is halfway between the focus and the directrix. So p is half the difference of the y components:
p = (3 − (-3)) / 2
p = 3
k, the y component of the vertex, is the average:
k = (3 + (-3)) / 2
k = 0
And h, the x component of the vertex, is the same as the focus:
h = 5
So:
y = 1/(4×3) (x − 5)² + 0
y = 1/12 (x − 5)²
Answer:
Step-by-step explanation:
Total Students = 28
Brown Hair = 22
NOT Brown Hair = 28 - 22 = 6
The probability of an event is the number of that event divided by total number.
So, let denote probability of without brown hair be P(NOT BROWN). So, we can say:
P(NOT BROWN) = 6/28
Reducing, we get:
P(NOT BROWN) = 3/14
Answer:
option 3
Step-by-step explanation:
not sure if right
Lila jumped 5 feet.
8 1/3-2 2/3=5 feet
