Provide an appropriate response.
-x = 6u cosh 3v, y = 6u sinh 3v
A) 54u
B) 54v
C) 108u
D) 108v

Question

Quizplus · Accepted Answer

The given equations are parametric equations of a hyperbola in standard form. To find the distance between the two foci of the hyperbola, we use the formula c = sqrt(a^2 + b^2), where a and b are the semi-major and semi-minor axes, respectively. In this case, a = 6 and b = 3, so c = sqrt(6^2 + 3^2) = sqrt(45) = 3sqrt(5). Multiplying this by 2, we get 6sqrt(5), which is equal to 108u. Therefore, the correct answer is C.

Provide an Appropriate Response