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:
20
Step-by-step explanation:
We have the following expression given:
We can start selecting as common factor 4y^2 and we got:
Now we can select y+7 as common factor and we got:
So then our final answer would be:
Answer: everyone gets 1/4 of the pizza.
Step-by-step explanation: you can convert the 3/4 to .75 and divide that by 3. or you can think about it as the pizza is a dollar and the slices are quarters/ 25 cents. OOOO those are your 4 quarters that make up a dollar/ pizza. OOO those are the 3/4 of the pizza left. if there are 3 people each gets a quarter/ fourth of a pizza. so the answer is 1/4.
Sixty-seven times a number, plus eight and nine tenths, is not greater than negative three hundred two
It the answer
