What is an equation of the parabola with vertex at the origin and focus (0, 0.75)?
1 answer:
Answer:
Step-by-step explanation:
Notice that the focus is a points on the vertical axis, that means the parabolla opens vertically, and has the form
Because the parameter is positive and equal to 0.75. Additionally, the vertex is at the origin, that's why the equation is this simple.
Replacing the parameter value, we have
Therefore, the equation of a parabolla with vertex at the origin and focus at (0, 0.75) is .
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Velocity, distance and time:
This question is solved using the following formula:
In which v is the velocity, d is the distance, and t is the time.
On the first day of travel, a driver was going at a speed of 40 mph.
Time , distance of
, v = 40. So
The next day, he increased the speed to 60 mph. If he drove 2 more hours on the first day and traveled 20 more miles
On the second day, the velocity is .
On the first day, he drove 2 more hours, which means that for the second day, the time is:
On the first day, he traveled 20 more miles, which means that for the second day, the distance is:
Thus
System of equations:
Now, from the two equations, a system of equations can be built. So
Find the total distance traveled in the two days:
We solve the system of equation for , which gets the distance on the first day. The distance on the second day is
, and the total distance is:
From the first equation:
Replacing in the second equation:
Thus, the total distance is:
The total distance traveled in two days was of 380 miles.
For the relation between velocity, distance and time, you can take a look here: brainly.com/question/14307500