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bonufazy [111]
3 years ago
15

Can someone explain and answer this for me??

Mathematics
1 answer:
OleMash [197]3 years ago
4 0
The mistake is in line 2, the parenthesis means multiplication therefore it has to be 3x
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HELP. How long is the minor axis for the ellipse shown below?
kifflom [539]

Given:

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\dfrac{(x+4)^2}{25}+\dfrac{(y-1)^2}{16}=1

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Solution:

The standard form of an ellipse is

\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1      ...(i)

where, (h,k) is center, if a>b, then 2a is length of major axis and 2b is length of minor axis.

We have,

\dfrac{(x+4)^2}{25}+\dfrac{(y-1)^2}{16}=1      ...(ii)

On comparing (i) and (ii), we get

b^2=16

Taking square root on both sides.

b=\pm 4

Consider only positive value of b because length cannot be negative.

b=4

Now,

Length of minor axis = 2b

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                                  = 8

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Therefore, the correct option is B.

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