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Lesechka [4]
3 years ago
15

Which equation represents a hyperbola with a center at (0,0), a vertex at (0,60), and a focus at (0,-65)

Mathematics
2 answers:
Leona [35]3 years ago
7 0
Given that the hyperbola has a center at (0,0), and its vertices and foci are on y-axis. This, the equation of the hyperbola is of the form
x²/a²-y²/b²=-1 (a>0, b>0)
In the equation, vertices are (0, +/-b) .
Thus, 
b=60
Foci (0,+/-√(a²+b²))
thus
√(a²+60²)=65
hence solving for a²
a²=65²-60²
a²=625
a²=25²
hence the equation is:
x²/25²-y²/60²=-1
Scrat [10]3 years ago
4 0

Answer:

So for everybody in the future, a clarification is d)y^2/60^2 -x^2/25^2=1

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Step-by-step explanation:

Given that number of ants double after every ten days, form a table that shows numbe of ants from day 1 to day 91

Day                                                  Number of Ants

1                                                                       10

11                                                                      20

21                                                                     40

31                                                                     80

41                                                                     160

<em>51                                                                    320-----------------given</em>

<em>61                                                                    640------------------given</em>

<em>71                                                                    1280----------------given</em>

81                                                                   2560

91                                                                    5120

Using the given values for number of ants and the number of days, you can notice the trend for values of days and number of ants.After every ten days, number of ants doubles.Using this information, you can navigate backwards up to day 1 and forward up to day 91

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3 years ago
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