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

Graph x^2+y^2-10x+18y=-42
Complete the square for .
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.
Cancel the common factor of and .
Factor out of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Divide by .
Multiply by .
Find the value of using the formula .
Simplify each term.
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 .
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 .
Factor out of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Divide by .
Find the value of using the formula .
Simplify each term.
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 .
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:
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Name

Name one billion nine hundred eighty-eight million two hundred three thousand two hundred four

Interesting facts

• 1988203204 has 128 divisors, whose sum is 5331287808
• The reverse of 1988203204 is 4023028891
• Previous prime number is 263

Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 37
• Digital Root 1

Name

Name one billion thirty-three million four hundred sixty-eight thousand four hundred seventy

Interesting facts

• 1033468470 has 64 divisors, whose sum is 2466432000
• The reverse of 1033468470 is 0748643301
• Previous prime number is 149

Basic properties

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

Name

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

Interesting facts

• 1692783491 has 8 divisors, whose sum is 1961858304
• The reverse of 1692783491 is 1943872961
• Previous prime number is 71

Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 50
• Digital Root 5