SOLUTION: Consider the elipse 9x^2 + 36y^2=324 Which of the following statements about the vertices is correct? A) the vertices on the major axis are (-3,0) and (3,0), and the vertice

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Consider the elipse 9x^2 + 36y^2=324 Which of the following statements about the vertices is correct? A) the vertices on the major axis are (-3,0) and (3,0), and the vertice      Log On


   



Question 1198937: Consider the elipse 9x^2 + 36y^2=324
Which of the following statements about the vertices is correct?
A) the vertices on the major axis are (-3,0) and (3,0), and the vertices on minor axis are (0,-6) and (0,6)
B) the vertices on the major axis are (0,-6) and (0,6), and the vertices on minor axis are (-3,0) and (3,0)
C) the vertices on the major axis are (0,-3) and (0,3), and the vertices on minor axis are (-6,9) and (6,0)
D) the vertices on the major axis are (-6,0) and (6,0), and the vertices on minor axis are (0,-3) and (0,3)

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

9x%5E2+%2B+36y%5E2=324.......divide by 324
9x%5E2%2F324+%2B+36y%5E2%2F324=324%2F324
x%5E2%2F36%2B+y%5E2%2F9=1
=>
h=0, k=0
a=6, b=3

For an ellipse with major axis parallel to the x-axis, the vertices are: (h%2Ba,k), (h-a,+k)

the vertices on the major axis are (-6,0) and (6,0),
and the vertices on minor axis are (0,-3) and (0,3)

answer:
D) the vertices on the major axis are (-6,0) and (6,0), and the vertices on minor axis are (0,-3) and (0,3)