Question

question 8 of 10
the length of the transverse axis is 11, and the length of the red line segment is 19. how long is the blue line segment?
a. 8
b. 19
c. 11
d. 30

Explanation:

Step1: Recall the property of hyperbola

For a hyperbola, the difference between the distances from any point on the hyperbola to the two foci is equal to the length of the transverse axis.
Let the length of the blue line segment be \(x\).

Step2: Set up the equation

We know that \(19 - x=11\) (by the property of hyperbola).

Step3: Solve the equation for \(x\)

Subtract 11 from both sides of the equation: \(x = 19 - 11\).
So, \(x = 8\).

Answer:

A. 8