sethwenn
sethwenn sethwenn
  • 08-05-2017
  • Mathematics
contestada

What is the equation of a hyperbola with a = 9 and c = 12? Assume that the transverse axis is horizontal

Respuesta :

meerkat18
meerkat18 meerkat18
  • 22-05-2017
Given a and c, we solve for b by using the formula: 
c² = a² + b²
12² = 9² + b²
b = 3√7

The standard equation for a hyperbola with a horizontal transverse axis is  
(x-h)
²/a² - (y-k)²/b² = 1, where (h,k) is the center.

Assuming that center is (0,0), the equation of the hyperbola will be:

x²/9² - y²/(3√7)² = 1 or
x²/81 - y²/63 = 1

Answer Link

Otras preguntas

Write and solve problem when there 3 tables for every 8 chairs
Please help!! I would be very great full!!!!
On october 31, 2009, sky co. borrowed $16 million cash and issued a 7-month, noninterest-bearing note. the loan was made by star finance co. whose stated discou
how to convert 450 mm to cm
in addition to dog walking on Tuesday Eric made $45 dog sitting at one of his customers homes if he made $168 on Tuesday right in equation to find the number of
Write each decimal number in words 9.2105
A credit card company has cheated one million cardholders out of 50 cents each. marlene, one of the defrauded cardholders, wants to sue the credit card company
What was a result of Thomas Paine's Common Sense?
What is the solution to the following equation 7x-3=3+6x
Cultural traits are transmitted horizontally and vertically through learning. which of the examples below shows the horizontal transmission of culture?