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kkurt [141]
3 years ago
11

The black figure is an ellipse, and the black line segment is is major axis. What is the length of the blue line segment?

Mathematics
1 answer:
NeTakaya3 years ago
6 0

Answer:

D

Step-by-step explanation:

The formula we need to solve this is:

d_1+d_2=2a

Where

d_1  is the distance from one focus to the vertex

d_2  is the second distance from another focus to same vertex

<u>Note:</u> Here, vertex point is the point on top. The common point from which the RED and BLUE line meets the 2 foci

a  is half the length of the major axis (which is 9 here since total major axis is given as 18)

<em>Now we can plug into the equation and solve:</em>

<em>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</em>

<em />

<em>D is the correct answer.</em>

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