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blagie [28]
3 years ago
14

The length of the red line segment is 8 and the length of the blue line segment is 4. How long is the major axis of the eclipse?

Mathematics
1 answer:
liraira [26]3 years ago
7 0

The major axis of the eclipse is 12 units long

The given parameters can be represented as:

Red = 8

Blue = 4

See attachment for illustration

To solve this question, we make use of the following theorem

The distance between a point and the foci sums up to the major axis

This translates to:

Major\ axis = Red + Blue

Major\ axis = 8 + 4

Major\ axis = 12

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Step-by-step explanation:

1) lets use elimination to solve this:

multiply 10x+4y=24 with 3 in order to get "4y" into "12y"

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now subtract both equations to eliminate 'y"

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---------------------

24x=24

x=1

now substitute 1 in the above equation:

6(1)+12y=48

6+12y=48

12y=42

y=7/2

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