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alexdok [17]
3 years ago
9

In the diagram, line / is parallel to line m and line w is a transversal.

Mathematics
1 answer:
steposvetlana [31]3 years ago
7 0

here this might help

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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
Eric took a test with 15 questions. he answered 2/5 of the questions correctly, how many did he get wrong?
givi [52]

Answer: 9

3/5's of 15 = 9

7 0
2 years ago
728 increased by 30% ?
aliina [53]

Answer:

Number 728 increased by 30% (30 percent) of its value (percentage increase) and calculated absolute change (actual difference)

Increase the number 728 by 30% of its value

Step-by-step explanation:

6 0
3 years ago
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Which situation can be represented by 16 x 4?
Alex787 [66]

Answer:

the answer should be c.

Step-by-step explanation:

here's why....A uses 4 more which is adding. B uses 4 fewer which is subtracting and D does not complete so it should be C.

6 0
3 years ago
Help help help help help help help help!!!!
mina [271]

Answer:

c

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
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