# Find the Foci ((y-2)^2)/64-((x-4)^2)/36=1

Find the Foci ((y-2)^2)/64-((x-4)^2)/36=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 a hyperbola. Use this form to determine the values used to find vertices and asymptotes of the hyperbola.
Match the values in this hyperbola to those of the standard form. The variable represents the x-offset from the origin, represents the y-offset from origin, .
Find , the distance from the center to a focus.
Find the distance from the center to a focus of the hyperbola by using the following formula.
Substitute the values of and in the formula.
Simplify.
Raise to the power of .
Raise to the power of .
Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
Find the foci.
The first focus of a hyperbola can be found by adding to .
Substitute the known values of , , and into the formula and simplify.
The second focus of a hyperbola can be found by subtracting from .
Substitute the known values of , , and into the formula and simplify.
The foci of a hyperbola follow the form of . Hyperbolas have two foci.
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### Name

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

### Interesting facts

• 1236423790 has 8 divisors, whose sum is 1907625384
• The reverse of 1236423790 is 0973246321
• Previous prime number is 35

### Basic properties

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

### Name

Name seven hundred forty-four million four hundred eleven thousand three hundred seventy-one

### Interesting facts

• 744411371 has 4 divisors, whose sum is 812085144
• The reverse of 744411371 is 173114447
• Previous prime number is 11

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 32
• Digital Root 5

### Name

Name one billion two million eight hundred three thousand sixty-seven

### Interesting facts

• 1002803067 has 8 divisors, whose sum is 1019278080
• The reverse of 1002803067 is 7603082001
• Previous prime number is 2609

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 27
• Digital Root 9