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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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What two numbers are located 5/8 of a unit from 1/6 on a number line?
Molodets [167]
First find the common denominator. It would be 24. For 8 to get to 24 you have to multiply it by 3. So 8*3=24 and 5*3=15. For 6 to get to 24 you have to multiply it by 4. So 6*4=24 and 1*4=4. Our fractions are now at 15/24 and 4/24. 15+4 is 19 and 15-4 is 11. Your answers are 19/24 and 11/24.
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3 years ago
What is the next number in the series 167, 118, 82
Katyanochek1 [597]

The next number in the series are 57, 41, 37, 31, 29, 23, 19, 17, 13, 11, 7, 5, 3, 2.

<h3>What is a sequence?</h3>

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

It is given that:

The series is:

167, 118, 82

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

As we know, the prime is divisible by 1 and itself.

The prime numbers before 82 are:

57, 41, 37, 31, 29, 23, 19.. and so on

The next number in series are 57, 41, 37, 31, 29, 23, 19, 17, 13, 11, 7, 5, 3, 2

Thus, the next number in the series are 57, 41, 37, 31, 29, 23, 19, 17, 13, 11, 7, 5, 3, 2.

Learn more about the sequence here:

brainly.com/question/21961097

#SPJ1

3 0
1 year ago
Help please i'll give you brainliest
Lena [83]

Answer:

C

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
PLEASE HELP ADSAPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Rasek [7]

Answer:

Part A: (0.25+0.30+0.75) - 0.20

Part B:

Step-by-step explanation:

The jar contains 0.25 of apple juice and 0.30 liter of grape juice. Then, another 0.75 litter is added. Melissa drank 0.20 of that, making the value lower (Hint: subtraction).

So we have to add 0.25, 0.30, and 0.75. Subtract it by 0.20. My equation would look like:

(0.25+0.30+0.75) - 0.20

The simplified equation will be:

1.3 - 0.20

= 1.1

I used the associative property to simplify the parenthesed part of the equation, and subtracted it by 1.1. Even though it has been simplified, the result has no changed and it is still the same value as it would have been in the previous equation.

Best of luck, and have a blessed day! For any question or comments, please say so!

4 0
3 years ago
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Solve the equation.
Zina [86]

Answer:

x=5

Step-by-step explanation:

esa es la respuesta correcta

7 0
2 years ago
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