Graph (x^2)/9-(y^2)/16=1

Graph (x^2)/9-(y^2)/16=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, .
The center of a hyperbola follows the form of . Substitute in the values of and .
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 vertices.
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The first vertex of a hyperbola can be found by adding to .
Substitute the known values of , , and into the formula and simplify.
The second vertex of a hyperbola can be found by subtracting from .
Substitute the known values of , , and into the formula and simplify.
The vertices of a hyperbola follow the form of . Hyperbolas have two vertices.
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.
Find the eccentricity.
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Find the eccentricity by using the following formula.
Substitute the values of and into the formula.
Simplify the numerator.
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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 focal parameter.
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Find the value of the focal parameter of the hyperbola by using the following formula.
Substitute the values of and in the formula.
Raise to the power of .
The asymptotes follow the form because this hyperbola opens left and right.
Simplify .
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Add and .
Combine and .
Simplify .
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Add and .
Combine and .
Move to the left of .
This hyperbola has two asymptotes.
These values represent the important values for graphing and analyzing a hyperbola.
Center:
Vertices:
Foci:
Eccentricity:
Focal Parameter:
Asymptotes: ,
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Name

Name seven hundred two million seven hundred seven thousand two hundred fifty-four

Interesting facts

  • 702707254 has 4 divisors, whose sum is 1054060884
  • The reverse of 702707254 is 452707207
  • Previous prime number is 2

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 34
  • Digital Root 7

Name

Name nine hundred forty million two hundred seventeen thousand seven hundred twenty-three

Interesting facts

  • 940217723 has 4 divisors, whose sum is 940979040
  • The reverse of 940217723 is 327712049
  • Previous prime number is 1237

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 35
  • Digital Root 8

Name

Name three hundred sixty-eight million one hundred ninety-two thousand seven hundred seventy-four

Interesting facts

  • 368192774 has 8 divisors, whose sum is 552723480
  • The reverse of 368192774 is 477291863
  • Previous prime number is 1283

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 47
  • Digital Root 2