How can the equation of a parabola be derived when given the focus and the directrix

1 answer:

7 0

If the focus of a parabola is and the directrix is , find theequation of the parabola. Let ( x 0 , y 0 ) be any point on theparabola. Find the distance between ( x 0 , y 0 ) and the focus. Then find the distance between ( x 0 , y 0 ) and directrix.

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Suden wants to know the theoretical and experimental probability of rolling a number smaller than a 3 on a 6-sided number cube n

MakcuM [25]

Answer:

The theoretical probability of rolling a number smaller than a 3 is __1/3_____because this is what__we expect to happen____ . The experimental probability of rolling a number smaller than a 3 is __1/4____ because this is what___actually happened____

Step-by-step explanation:

The experimental probability is

P (<3) = ( getting a one or 2)/ number of times that he rolled

He rolled a one or a two 2 times of the 8 times rolled

= 2/8 = 1/4

Theoretical probability is what we expect happen

P (<3) = (getting a one or two) / 6

= 2/6 = 1/3

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3 years ago

How many learners can enrol if there are 12 teachers and a ratio of teachers to learners is 30:1

VladimirAG [237]

Answer:

360 learners

Step-by-step explanation:

One way to solve these types of problems is that you could set up a proportion

learners/teachers = learners/teachers

Let x = no. of learners to enrol

30/1 = x/12

12(30) = x

x = 360 learners

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3 years ago

Chicago Avenue is parallel to Ontario Street what is the relationship between angles five and seven?

Triss [41]

Answer:

they are corresponding angles

6 0

3 years ago

Tickets for a certain show cost $17, $21, or, for VIP seats, $40. If ten times as many $17 tickets were sold as VIP tic

lawyer [7]

Answer:

Tickets sold:

VIP $=126$

$17 tickets $=1,260$

$21 tickets $=9\cdot 126+57=1,191$

Step-by-step explanation:

Let x be the number of VIP tickets.

If ten times as many $17 tickets were sold as VIP tickets, then the number of $17 tickets is $10x.$

If the number of $17 tickets sold was 57 more than the sum of the number of $21 tickets and VIP tickets, then $10x+57=x+y$ and the number y of $21 tickets is $9x+57.$