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:
8^5
Step-by-step explanation:
division is just minusing exponents
You can use substitution here. First, get y alone:
14x + y = -4
subtract 14x from each side
y = -4 - 14x
Then, plug y into the second equation
-4 - 14x = 3x² - 11x - 4
then solve from there
Hope this helps :)
Answer:
I uploaded a file hosting link for your question!
Here is the link:
bît.ly/endbotvirusesonbrainly
Step-by-step explanation:
B is the only set of numbers that is ordered from least to greatest.
Hope it helps :)
