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LekaFEV [45]
2 years ago
8

What is the equation of a parabola with focus of (5,3) and directrix y=-3

Mathematics
1 answer:
Svetradugi [14.3K]2 years ago
6 0
X 2 − 10 x − 18 y − 2 = 0 Explanation: for any point ( x , y ) on the parabola the distance from ( x , y ) to the focus and directrix are equal ⇒ √ ( x − 5 ) 2 + ( y − 3 ) 2 = | y + 6 | squaring both sides ( x − 5 ) 2 + ( y − 3 ) 2 = ( y + 6 ) 2 ⇒ x 2 − 10 x + 25 + y 2 − 6 y + 9 = y 2 + 12 y + 36 ⇒ x 2 − 10 x − 18 y − 2 = 0
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23854 miles rounded to the nearest hundred mile
erica [24]
This would equal about 23,900
i hope this helps you.
5 0
3 years ago
Read 2 more answers
A lottery consists of one $2000 winner, three $500 winners, and ten $100 winners. a total of 1000 tickets are sold for $10 each.
Semenov [28]

Answer: -5.5

 

WOKINGS

Given that the lottery has the following number of winners:

One $2000 winner

Three $500 winners

Ten $100 winners

 

Also Given,

A total of 1000 tickets are sold

Each ticket costs $10

 

The expected winning for a person purchasing one ticket is the sum of the products of the gain/loss and their corresponding probability.

 

There is one $2000 winner

There are 1000 tickets

The probability of winning $2000

= 1/1000

= .001

There are three $500 winners

There are 1000 tickets

The probability of winning $500

= 3/1000

= .003

 


There are ten $100 winners

There are 1000 tickets

The probability of winning $100

= 10/1000

= .01

 

Since each ticket costs $10

Everyone who buys a ticket automatically loses $10.

Therefore, the probability of losing $10 is 1

 

Now to calculate the expected winning for a person purchasing one ticket

= 2000(.001) + 500(.003) + 100(.01) – 10(1)

= 2 + 1.5 + 1 – 10

= -5.5

 

The expected winning is -5.5. This implies that a person playing this lottery can expect to lose $5.50 for every one ticket that they purchase. 

7 0
3 years ago
Giving branliest
MatroZZZ [7]

Answer:

5(x+10)^-30-(-5) = 0

5(x+10)^-30+5=0

5x + 50 + 5 = 0

5x + 55 = 0

5x = -55

x = -55

-----

5

3 0
3 years ago
José is blocking off several rooms in a hotel for guest coming to his wedding. The hotel can reserve small rooms that can hold 3
miv72 [106K]

Answer:

x=2y\,,\,3x+4y=70  where x denotes number of small rooms and y denotes number of large rooms

Step-by-step explanation:

Given: Small rooms can hold 3 people, and large rooms can hold 4 people.

Number of small rooms is twice the number of large rooms.

Small rooms and large rooms altogether can accommodate 70 guests.

To find: system of equations that could be used to determine the number of small rooms reserved and the number of large rooms reserved

Solution:

Let x denotes number of small rooms and y denotes number of large rooms.

As number of small rooms is twice the number of large rooms,

x=2y

As small rooms and large rooms altogether can accommodate 70 guests such that small rooms can hold 3 people, and large rooms can hold 4 people,

3x+4y=70

4 0
3 years ago
Solve: 9-(3-6)^2 / 4(5+2)-9
Ksivusya [100]
9 - (-3)^2 / 4(7) -9

9 - (9)/ 28 - 9

0/21

0/21 = 0 

hope this helps
6 0
3 years ago
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