Graph ((x-1)^2)/9+((y-3)^2)/4=1

Graph ((x-1)^2)/9+((y-3)^2)/4=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 an ellipse. Use this form to determine the values used to find the center along with the major and minor axis of the ellipse.
Match the values in this ellipse to those of the standard form. The variable represents the radius of the major axis of the ellipse, represents the radius of the minor axis of the ellipse, represents the x-offset from the origin, and represents the y-offset from the origin.
The center of an ellipse 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 ellipse 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 .
Multiply by .
Subtract from .
Find the vertices.
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The first vertex of an ellipse can be found by adding to .
Substitute the known values of , , and into the formula.
Simplify.
The second vertex of an ellipse can be found by subtracting from .
Substitute the known values of , , and into the formula.
Simplify.
Ellipses have two vertices.
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:
:
:
Find the foci.
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The first focus of an ellipse can be found by adding to .
Substitute the known values of , , and into the formula.
The second vertex of an ellipse can be found by subtracting from .
Substitute the known values of , , and into the formula.
Simplify.
Ellipses have two foci.
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:
:
:
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 .
Multiply by .
Subtract from .
These values represent the important values for graphing and analyzing an ellipse.
Center:
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:
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:
Eccentricity:
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Name

Name one billion two hundred sixteen million three thousand three hundred forty

Interesting facts

  • 1216003340 has 32 divisors, whose sum is 3328188480
  • The reverse of 1216003340 is 0433006121
  • Previous prime number is 73

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 20
  • Digital Root 2

Name

Name two hundred thirteen million four hundred eight thousand forty-six

Interesting facts

  • 213408046 has 8 divisors, whose sum is 320261760
  • The reverse of 213408046 is 640804312
  • Previous prime number is 2239

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 28
  • Digital Root 1

Name

Name one billion four hundred thirty-four million five hundred six thousand five hundred sixty-one

Interesting facts

  • 1434506561 has 8 divisors, whose sum is 1459174464
  • The reverse of 1434506561 is 1656054341
  • Previous prime number is 1367

Basic properties

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