Answer:
D
Step-by-step explanation:
The formula we need to solve this is:
[tex]d_1+d_2=2a[/tex]
Where
[tex]d_1[/tex] is the distance from one focus to the vertex
[tex]d_2[/tex] is the second distance from another focus to same vertex
Note: Here, vertex point is the point on top. The common point from which the RED and BLUE line meets the 2 foci
[tex]a[/tex] is half the length of the major axis (which is 9 here since total major axis is given as 18)
Now we can plug into the equation and solve:
[tex]d_1+d_2=2a\\8.5+d_2=2(9)\\8.5+d_2=18\\d_2=18-8.5\\d_2=9.5[/tex]
D is the correct answer.
