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:
The equation has infinity solutions
Step-by-step explanation:
we have
Applying distributive property left side
Combine like terms
The linear equation of the left side is equal to the linear equation of the right side
Both lines are identical
therefore
Is a consistent dependent system
The equation has infinity solutions
<span>4/100×50 is your answer $2</span>
Answer:
53
Step-by-step explanation:
Coterminal angles are angles that end in the same position on a unit circle.
We can find angles that are coterminal to -4pi/3 by adding and subtracting 2pi.
-4pi/3 + 2pi = 2pi/3
The answer is 2pi/3
