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
A:
Width of the deck = 
units
Length of the deck = 
units
So area of rectangular deck = Length * width
= 
Area = 
Area= 
units square
As mentioned in part B, the area of the pool is 
so the combined area of the deck and pool is
Area = area of rectangular deck + area of pool
= 
unit square
B:
The area of only the deck is unit square
Answer:
or what does it mean that eu only portuguese phallus translate for portuguese please
Answer:
(2,1)
Step-by-step explanation:
The solutions are the points located inside the shaded region. The only point not located in that region is the point (2, 1). Therefore, (2, 1) is not a solution to the system of inequalities.
Answer:
Step-by-step explanation:
(4,5)
