SOLUTION: Find the length of the major axis for the graph of 49x^2 + 16y^2 = 784 I'm struggling with this one. Any help would be appreciated. Thank you Michele

Question 170009: Find the length of the major axis for the graph of 49x^2 + 16y^2 = 784
I'm struggling with this one. Any help would be appreciated.
Thank you
Michele

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Divide both sides by 784. The goal here is to make the right side equal to 1

Simplify

Break up the fraction

Reduce

Rewrite 16 as . Rewrite 49 as

Now the equation is in the form where , , , and .

The values of "a" and "b" are the lengths of the major and minor axis. If "a" is larger than "b", then is the length of the major axis. On the other hand, if "b" is larger than "a", then is the length of the major axis.

Since , this means that the length of the major axis is .

So multiply the value of "b" by 2 to get

So the length of the major axis is 14 units
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