Find the Foci ((y-2)^2)/64-((x-4)^2)/36=1

Find the Foci ((y-2)^2)/64-((x-4)^2)/36=1
Simplify each term in the equation in order to set the right side equal to . The standard form of an ellipse or hyperbola requires the right side of the equation be .
This is the form of a hyperbola. Use this form to determine the values used to find vertices and asymptotes of the hyperbola.
Match the values in this hyperbola to those of the standard form. The variable represents the x-offset from the origin, represents the y-offset from origin, .
Find , the distance from the center to a focus.
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Find the distance from the center to a focus of the hyperbola by using the following formula.
Substitute the values of and in the formula.
Simplify.
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Raise to the power of .
Raise to the power of .
Add and .
Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
Find the foci.
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The first focus of a hyperbola can be found by adding to .
Substitute the known values of , , and into the formula and simplify.
The second focus of a hyperbola can be found by subtracting from .
Substitute the known values of , , and into the formula and simplify.
The foci of a hyperbola follow the form of . Hyperbolas have two foci.
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Name

Name two billion forty-five million seven hundred thirty-two thousand one hundred nineteen

Interesting facts

  • 2045732119 has 8 divisors, whose sum is 2058114960
  • The reverse of 2045732119 is 9112375402
  • Previous prime number is 197

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 34
  • Digital Root 7

Name

Name one hundred seventy-eight million three hundred thirty-nine thousand one hundred fourteen

Interesting facts

  • 178339114 has 4 divisors, whose sum is 267508674
  • The reverse of 178339114 is 411933871
  • Previous prime number is 2

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 37
  • Digital Root 1

Name

Name one billion sixty-nine million eight hundred sixty-two thousand three

Interesting facts

  • 1069862003 has 16 divisors, whose sum is 1099008000
  • The reverse of 1069862003 is 3002689601
  • Previous prime number is 317

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 35
  • Digital Root 8