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REY [17]
3 years ago
15

A train left Podunk and traveled north at 75 km/h. Two hours later, another train left Podunk and traveled in the same direction

at 100 km/h. How many hours had the first train traveled when the second train overtook it?​
Mathematics
1 answer:
Andreyy893 years ago
6 0
Answer:

8 hours

Steps:

Train 1:

Hours: 1, 2, 3, 4, 5, 6, 7, 8

Miles: 75, 150, 225, 300, 375, 450, 525, 600

Train 2:

Hours: 1, 2, 3, 4, 5, 6, 7, 8

Miles: 0, 0, 100, 200, 300, 400, 500, 600
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Find the vertices and foci of the hyperbola with equation quantity x plus one squared divided by sixteen minus the quantity of y
katrin2010 [14]

Answer:

The vertices are (3 , -5) , (-5 , -5)

The foci are (4 , -5) , (-6 , -5)

Step-by-step explanation:

* Lets study the equation of the hyperbola

- The standard form of the equation of a hyperbola with  

  center (h , k) and transverse axis parallel to the x-axis is

  (x - h)²/a² - (y - k)²/b² = 1

- The length of the transverse axis is 2 a

- The coordinates of the vertices are  (h  ±  a  ,  k)

- The coordinates of the foci are (h ± c , k), where c² = a² + b²

- The distance between the foci is  2c

* Now lets solve the problem

- The equation of the hyperbola is (x + 1)²/16 - (y + 5)²/9 = 1

* From the equation

# a² = 16 ⇒ a = ± 4

# b² = 9 ⇒ b = ± 3

# h = -1

# k = -5

∵ The vertices are (h + a , k) , (h - a , k)

∴ The vertices are (-1 + 4 , -5) , (-1 - 4 , -5)

* The vertices are (3 , -5) , (-5 , -5)

∵ c² = a² + b²

∴ c² = 16 + 9 = 25

∴ c = ± 5

∵ The foci are (h ± c , k)

∴ The foci are (-1 + 5 , -5) , (-1 - 5 , -5)

* The foci are (4 , -5) , (-6 , -5)

4 0
3 years ago
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I REALLY NEED HELP PLEASE!
zhuklara [117]

Answer:

The answer to that question is b

Step-by-step explanation:

6 0
2 years ago
Cameron rent is 2,308 per month and wants to pay rent in $100 dollar bills and $1 dollar bills. How many $100 dollar bills will
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(2308*10)/100=230.3 so he would have to pay 230 hundos (and 30 singles)
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2 years ago
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It was 4:00 P.M. when John started mowing the lawn and it took him 50 minutes to finish. What time did John finish mowing the la
Oksi-84 [34.3K]

Answer:

4:50 P.M.

Step-by-step explanation:

Sorry I don't know how to properly explain it but I just added 50 minutes to 4 o' clock to get the answer.

Hope this helps!

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7 0
2 years ago
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What is (2x^2+6x-3) added to (2x^3-3x+2)?
Bas_tet [7]
2x² + 6x - 3 + 2x³ - 3x + 2

Combine like terms

2x³ + 2x² + 6x - 3x - 3 + 2

Final answer:
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