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:
Electricity bill is 175
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Step-by-step explanation:
Given
monthly
Required
Determine the electricity bill
If each roommate pays 425, then 5 roommates pay 5 * 425
This implies that: the monthly cost of room, gas and electricity add up to 2125.
In other words,
<em>Hence, the electricity bill is 175</em>
Hello! The answer is definitely not C or D, because that's way too i God an increase for this type of setting. It increased by around 20%, because when 35 and 29 are divided and you multiply the decimal by 100, when you ignore the "1" at the front, it shows an approximate 20% increase. The answer is A.
Answer:
Step-by-step explanation:
The correct steps to solve the equation are:
Because 
So, solving we get:
Sum 3 on every side:
Dividing by 2 into both sides:
So, the answer is
You have 28 meters of fence to make 3 sides.
28/3 = 9.3333
The pen will be 9.3333 by 9.3333 meters
