Graph x^2+y^2+2x-3y=8

Graph x^2+y^2+2x-3y=8
Complete the square for .
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Use the form , to find the values of , , and .
Consider the vertex form of a parabola.
Substitute the values of and into the formula .
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Find the value of using the formula .
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Simplify each term.
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Raise to the power of .
Multiply by .
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Multiply by .
Subtract from .
Substitute the values of , , and into the vertex form .
Substitute for in the equation .
Move to the right side of the equation by adding to both sides.
Complete the square for .
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Use the form , to find the values of , , and .
Consider the vertex form of a parabola.
Substitute the values of and into the formula .
Multiply by .
Find the value of using the formula .
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Simplify each term.
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Raise to the power of .
Multiply by .
Subtract from .
Substitute the values of , , and into the vertex form .
Substitute for in the equation .
Move to the right side of the equation by adding to both sides.
Simplify .
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Find the common denominator.
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Write as a fraction with denominator .
Multiply by .
Multiply and .
Write as a fraction with denominator .
Multiply by .
Multiply and .
Combine the numerators over the common denominator.
Simplify the expression.
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Multiply by .
Add and .
Add and .
This is the form of a circle. Use this form to determine the center and radius of the circle.
Match the values in this circle to those of the standard form. The variable represents the radius of the circle, represents the x-offset from the origin, and represents the y-offset from origin.
The center of the circle is found at .
Center:
These values represent the important values for graphing and analyzing a circle.
Center:
Radius:
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Name

Name one hundred thirty-seven million seven hundred ninety-nine thousand one hundred sixty-five

Interesting facts

  • 137799165 has 4 divisors, whose sum is 139111644
  • The reverse of 137799165 is 561997731
  • Previous prime number is 105

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 48
  • Digital Root 3

Name

Name one billion eight hundred ninety million three hundred eighty-four thousand six hundred twenty-seven

Interesting facts

  • 1890384627 has 16 divisors, whose sum is 2553015168
  • The reverse of 1890384627 is 7264830981
  • Previous prime number is 131

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 48
  • Digital Root 3

Name

Name two hundred sixty-seven million five hundred seven thousand two hundred fifty-two

Interesting facts

  • 267507252 has 32 divisors, whose sum is 645714720
  • The reverse of 267507252 is 252705762
  • Previous prime number is 29

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 36
  • Digital Root 9