Respuesta :
Answer:
A. 20.
Step-by-step explanation:
The denominators 49 and 100 are the squares of 1/2 of the lengths of the minor and major axis. The standard form is x^2/a^2 + y^2/b^2 = 1 so
a = 2 * √49 and b = 2 * √100.
The length of the major axis is therefore 2* √100
= 2 * 10
= 20 (answer).
Answer: A. 20
Step-by-step explanation:
For the general equation of ellipse :-
[tex]\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1[/tex]
If a > b , then the length of major axis = 2a
If b> a , then the length of major axis = 2b
The given equation : [tex]\dfrac{(x-3)^2}{49}+\dfrac{(y+6)^2}{100}=1[/tex]
Which can be written as :
[tex]\dfrac{(x-3)^2}{7^2}+\dfrac{(y+6)^2}{10^2}=1[/tex]
Here 10 >7 , then the length of major axis =2(10)=20 units