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:1
Step-by-step explanation:
Her average over those three months already is 54 so she has and average on 1 min left
Let, the original price = x
x = 45 * 125 /100
x = 45 * 1.25
x = 56.25
So, your final answer is $56.25
Hope it helped
Answer:
362880 ways
Step-by-step explanation:
The word dragonfly has 9 different letters.
So, to find how many ways this word can be arranged, we just need to calculate the factorial of 9:
First letter has 9 possibilities
Second letter has 8 possibilities (one used)
Third letter has 7 possibilities (two used), and so on.
So the number of ways is:
9*8*7*6*5*4*3*2*1 = 362880 ways
Answer:
slope =1
Step-by-step explanation:
hope it help you
