Question

question 2 of 10
the length of the major axis of the ellipse below is 14, and the length of the red line segment is 3. how long is the blue line segment?
a. 14
b. 11
c. 10
d. 17

Explanation:

Step1: Recall ellipse property

The sum of the distances from any point on the ellipse to the two foci is equal to the length of the major - axis.

Step2: Set up equation

Let the length of the blue line segment be \(x\). We know that \(x + 3=14\).

Step3: Solve for \(x\)

Subtract 3 from both sides of the equation: \(x=14 - 3\). So \(x = 11\).

Answer:

B. 11