1 km / 5 mins
Convert 1 km to meters:
1000 m / 5 mins
Divide by 5 on both sides:
200m / 1 min
Convert 1 min to seconds:
200m / 60 sec
Divide by 60 on both sides
3.33m / sec (nearest hundredth)
Answer: Matty's speed is 3.33m/s
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
The correct answer is a || move the constant over (5x=-15-5), combine like terms (5x=-20), divide both sides by 5 to get x alone (x=-20/5), solve (x=-4) || please mark brainliest
Step-by-step explanation:
