Graph ((x+1)^2)/25+((y-5)^2)/16=1

Graph ((x+1)^2)/25+((y-5)^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 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 .
Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
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.
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 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 .
Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
These values represent the important values for graphing and analyzing an ellipse.
Center:
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:
Eccentricity:
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Name

Name one hundred fifty-nine million five hundred forty-four thousand two hundred eighty-six

Interesting facts

  • 159544286 has 32 divisors, whose sum is 280599552
  • The reverse of 159544286 is 682445951
  • Previous prime number is 67

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 44
  • Digital Root 8

Name

Name nine hundred seventy-three million seven hundred forty-four thousand six hundred forty-two

Interesting facts

  • 973744642 has 8 divisors, whose sum is 1466531136
  • The reverse of 973744642 is 246447379
  • Previous prime number is 247

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 46
  • Digital Root 1

Name

Name one billion nine hundred six million nine hundred eighty-eight thousand five hundred fifty-three

Interesting facts

  • 1906988553 has 16 divisors, whose sum is 2171188800
  • The reverse of 1906988553 is 3558896091
  • Previous prime number is 809

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 54
  • Digital Root 9