# Graph x^2+y^2+18x-4y+76=0

Graph x^2+y^2+18x-4y+76=0
Subtract from both sides of the equation.
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.
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.
Cancel the common factor of and .
Rewrite as .
Apply the product rule to .
Raise to the power of .
Multiply by .
Factor out of .
Cancel the common factors.
Cancel the common factor.
Rewrite the expression.
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 two billion eleven million six hundred ninety-three thousand five hundred ninety-three

### Interesting facts

• 2011693593 has 16 divisors, whose sum is 3301241216
• The reverse of 2011693593 is 3953961102
• Previous prime number is 13

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 39
• Digital Root 3

### Name

Name one billion four hundred seventy-four million ninety-four thousand three hundred twenty-seven

### Interesting facts

• 1474094327 has 8 divisors, whose sum is 1561882176
• The reverse of 1474094327 is 7234904741
• Previous prime number is 1487

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 41
• Digital Root 5

### Name

Name one billion two hundred seventy-nine million seven hundred thirteen thousand five hundred fourteen

### Interesting facts

• 1279713514 has 16 divisors, whose sum is 1957250952
• The reverse of 1279713514 is 4153179721
• Previous prime number is 53

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 40
• Digital Root 4