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-Dominant- [34]
3 years ago
11

Please help me with this

Mathematics
1 answer:
polet [3.4K]3 years ago
5 0
1 , 5
5

7
15

i think this is right
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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
Read 2 more answers
18 3/8f = -29 4/7 please help
KatRina [158]

Answer:

f=-552 /343 or 5=1 and 209/343

Step-by-step explanation:

4 0
3 years ago
Please help me out I need it done ASAP
Anni [7]
Your answer will be letter b
3 0
3 years ago
(1,9) m=-3 in point slope form
Marysya12 [62]
Use the given slope and point and put it into the point-slope formula
y - y1 = m ( x - x1 )

1 is your x value (x1) and 9 is your y value (y1). M = -3

In point slope form, the answer is
y - 9 = -3 ( x - 1 )
4 0
3 years ago
Solve and SHOW WORK please help me<br><br> express 3/8 as a percent
Brrunno [24]
Its 37.5 just device them and round to the nearest tenth.
8 0
3 years ago
Read 2 more answers
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