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
Mark these points on the graph to form a right angled triangle.
Angle Y will be 90 degrees
Answer:
so add the ones that are given and then subtract from 360 because they must total to 360. so 360-80-68-84-56-40=32 so A
Answer:
Red balls 2/14
Green balls 1/14
Step-by-step explanation:
I hope that helped.
Answer:
(-3,5)
Step-by-step explanation:
4x + 3y = 3
x − 3y = −18
Solve by addition/Elimination
x = -3
y = 5
So,
The solution of the system is (-3,5).
HELPPP PLZZ (I got you)
<u><em>Ace </em></u>
