Write the equation for a parabola with a focus at (-7,-5) and a directrix at x = -4
2 answers:
Answer:
y² + 10y + 6x + 58 = 0
Step-by-step explanation:
Focus of the parabola has been given as (-7, -5) and directrix as x = -4
Let a point on the parabola is (x, y).
By the definition of a parabola, "distance of a point on parabola is equidistant from focus and directrix".
Distance from focus of the given point =
Distance of the point from directrix =
Therefore, equation of the parabola will be,
x² + 14x + 49 + y² + 10y + 25 = x² + 8x + 16
y² + 14x + 10y + 74 = 8x + 16
y² + 10y + 6x + 58 = 0
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Answer:
7 hours
Step-by-step explanation:
It is given that the plane was flying at 847 km/hour. So the speed of the plane was 847 kilometers per hour.
It is also given that the distance between Rome and New Delhi is 5,929 kilometers.
We know that the distance is equal to the product of speed and time, so we have,
, where 'd' represents the distance, 's' represents the speed, and 't' represents the time.
Putting the values we get,
Solving for 't' we get,
So the time taken to fly from Rome to New Delhi is 7 hours.