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dolphi86 [110]
3 years ago
8

A parabola has a vertex at the origin. The equation of the directrix of the parabola is y = 3. What are the coordinates of its f

ocus?
Mathematics
2 answers:
yawa3891 [41]3 years ago
8 0

Answer:

Step-by-step explanation:

Given that a parabola has a vertex at the origin.

The equation of the directrix of the parabola is y = 3.

When directrix  is a horizontal line y =3 we find that distance of vertex from directrix is 3 units.

By definition of parabola, the focus lies on the axis of parabola which here is x=0(since perpendicular to y=3 and through vertex)

Since any point is equidistant from focus and directrix,

we get vertex is 3 units down from origin on y axis.

Hence focus is (0,-3)

Yuliya22 [10]3 years ago
6 0
Focus -
(0,-3)

let me know if explanation needed.
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Answer:

The monorail runs 18 hours runs every day.

Step-by-step explanation:

You know that the total number of riders the monorail carry each day is 92700 and the number of riders the monorail carry per hour is 5150.

The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them.

A direct proportionality relationship is established between two quantities if:

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If the relationship between the magnitudes is direct the direct rule of three must be applied and to solve a direct rule of three, the following formula must be followed:

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Being

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In this case the rule of three can be applied in the following way: if the monorail carries 5,150 passengers in 1 hour, the monorail will transport 92,700 passengers in how many hours?

amount of hours=\frac{92,700 passengers*1hour}{5,150 passengers}

amount of hours= 18 hours

So <u><em>the monorail runs 18 hours runs every day.</em></u>

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Answer:

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