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Nastasia [14]
2 years ago
5

This hyperbola is centered at the

Mathematics
1 answer:
Varvara68 [4.7K]2 years ago
5 0

Answer:

The equation is ( x² / 9 ) - ( y² / 7 ) = 1

Step-by-step explanation:

Given the data in question;

hyperbola is centered at the  origin, this means h and k are all equals to 0.

Vertices: (-3,0) and (3,0)

Since y-coordinates are constant, this implies it is a hyperbola with horizontal transverse axis.

h - a = -3

0 - a = -3

a = 3

Foci: (-4,0) and (4,0)

h - c = -4

0 - c = -4

c = 4

we know that, for a hyperbola

c² = a² + b²

so

⇒ ( 4 )² = ( 3 )² + b²

16 = 9 + b²

b² = 16 - 9

b² = 7

So the equation for the hyperbola will be;

⇒ ( (x-h)² / a² ) - ( (y-k)² / b² ) = 1

so we substitute

⇒ ( (x-0)² / 3² ) - ( (y-0)² / 7 ) = 1

⇒ ( x² / 3² ) - ( y² / 7 ) = 1

⇒ ( x² / 9 ) - ( y² / 7 ) = 1

Therefore, The equation is ( x² / 9 ) - ( y² / 7 ) = 1

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Help please. Just need to answer 29-31 then I’m done. Thanks
Free_Kalibri [48]

Answer:

29. See table below

30. See attached graph

31. The slope is m= 0.10

The slope represent the cost for every additional call minute.

Step-by-step explanation:

The cost is $0.5  first minute and $0.10 for any additional minutes

If c is the total cost of a call that last t minutes then;

c= 0.10t + 0.5-----where t is the time the call lasted

29. Use the equation above to create the table as;

t {x}            c{y}

1                  0.6

2                 0.7

3                 0.8

4                 0.9

5                 1.0

6                 1.1

The graph of this plot is as attached , where the coordinates are

{1,0.6} , {2,0.7} ,{3,0.8} ,{4,0.9} ,{5,1.0}, {6,1.1}

The slope can be found using the formula;

m=Δy/Δx

m= 1.1 - 0.6 / 6-1

m= 0.5 / 5 = 0.10

The slope represent the cost for every additional call minute.

5 0
2 years ago
The area of a circle, in terms of π, is 196π m2.<br> Find the value of the radius.
AleksandrR [38]

Step-by-step explanation:

if area of circle = pi times radius^2,

area of circle divided by pi = radius^2

so, square root (area of circle divided by 2) = radius.

so, 196pi = m2

approx 616

616=m2

sqrt 616 =m

approx value of radius is 25 or 24.8

pls mark this as brainliestttt

5 0
2 years ago
What value makes 2 square root 51 equal to 10 square root 51x
scoundrel [369]
25 is the answer
hope it helps
4 0
3 years ago
How do you solve this step-by-step?
gtnhenbr [62]

Answer:

  • 7 1/20

<u>OAmalOHopeO</u>

4 0
2 years ago
On the graph shown, what is f(-2)
WARRIOR [948]

Answer:

3 because when x=2 the lines are at y 1 and 3, but the y 1 isn't shaded, so the answer is 3

3 0
2 years ago
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