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:
Opposite sides must be congruent.
Step-by-step explanation:
Given is a picture of a quadrilateal ABCD
We have to prove that this is a parallelogram.
Recall the properties of parallelogram as
i) diagonals bisect each other
ii) opposite sides parallel
iii) opposite sides congruent
or iv) one pair of opposite sides equal and parallel
We have hence to get opposite sides congruent
So last option is right
Ratio is written in x:y. therefore for this case, red:yellow
5 : 7
since the question states that there are 392 yellow poms, the 7 units represents 392 yellow poms. now you have to gind what is one unit and then multiply by 5 to find the number of red poms.
392 represents 7 units
1 unit: 392/7=56
5 units: 5×56=280 red poms
therefore the answer is 280 red poms which is C.
Answer:
14.14
Step-by-step explanation:
V=4
3πr3=4
3·π·1.53≈14.13717
Answer:
You cannot solve this
Step-by-step explanation:
you need at least one value given like x=something or y=something so you can plug it in
if you meant solve for x, then x= -4y+32
