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tresset_1 [31]
3 years ago
10

What's 2/3 times 3/11 in simplest form

Mathematics
1 answer:
myrzilka [38]3 years ago
3 0
The answer is 2/11 in simplest form
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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
What is 1256467x4453564
Arturiano [62]

5,595,756,198,388

Step-by-step explanation:

6 0
3 years ago
Please help me due tomorrow
Nostrana [21]

Answer:

y=3

Step-by-step explanation:

(i used point-slope form which is (y1-y2)=m(x1-x2))

(10-y)=7(4-3)

10-y=7

-y=-3

y=3

7 0
2 years ago
Adjacent angles and linear pairs can you help?
Natalija [7]

Answer:

Step-by-step explanation:

x + 13 + 4x + 2 = 180

Add the like terms,

5x + 15 = 180

Subtract 15 form both sides

5x + 15 - 15 = 180 -15

5x = 165

Divide both sides by 5

5x/5 = 16/5

x = 33

8 0
3 years ago
Help what is 10*_=60
lozanna [386]

16.666666666667%

How much is 10 out of 60 written as a percentage? Convert fraction (ratio) 10 / 60 Answer: 16.666666666667%

4 0
3 years ago
Read 2 more answers
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