Graph x^2+y^2-10x+18y=-42

Graph x^2+y^2-10x+18y=-42
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 .
Simplify the right side.
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Cancel the common factor of and .
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Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Divide by .
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 .
Divide by .
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 .
Cancel the common factor of and .
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Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Divide 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 .
Divide by .
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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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 seventy million three hundred seventy-four thousand two hundred twenty-six

Interesting facts

  • 70374226 has 8 divisors, whose sum is 113681484
  • The reverse of 70374226 is 62247307
  • Previous prime number is 13

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 8
  • Sum of Digits 31
  • Digital Root 4

Name

Name two hundred thirty-four million four hundred forty-one thousand seven hundred eighty-three

Interesting facts

  • 234441783 has 32 divisors, whose sum is 402700800
  • The reverse of 234441783 is 387144432
  • Previous prime number is 23

Basic properties

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

Name

Name one billion six hundred ninety-four million three hundred fifty-four thousand one hundred thirty

Interesting facts

  • 1694354130 has 64 divisors, whose sum is 3664465920
  • The reverse of 1694354130 is 0314534961
  • Previous prime number is 281

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 36
  • Digital Root 9