SOLUTION: Give the equation 4x^2+9y^2=36 find: a. The center C (use (,)) b. Length of major axis c. Length of minor axis d. Distance from C to foci c Hint: divide by 36 How do y

Question 1118335: Give the equation
4x^2+9y^2=36 find:
a. The center C (use (,))
b. Length of major axis
c. Length of minor axis
d. Distance from C to foci c
Hint: divide by 36
How do you find the distance from C to foci C?
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!

note the relationship , and there is a constant c so that .
Your example has
and from that,
.

Your foci each is c=sqrt(5) from the center of the ellipse and are along the long axis of the ellipse.

Major axis is horizontal, along the x-axis.

You have so the center point is at (0,0).
Foci are at ( , 0 ) and (, 0 ).
RELATED QUESTIONS
Give the equation X^2+4y^2=16 find: a. The center C (use (,)) b. Length of major... (answered by greenestamps)

Given the ellipse: 2x^2 + 6y^2 + 32x - 48y + 212 = 0 find. a. The Center C b. Length of (answered by stanbon)

Given the ellipse: 2x^2 + 6y^2 + 32x - 48y + 212 = 0 find. a. The Center C b. Length of (answered by drk)

4x^2+y^2-48x-4y+48=0 find center C, length of major axis, length of minor axis, distance... (answered by lwsshak3)

For the following ellipse: (x + 2)2 + (y + 2)2 = 1 (answered by Boreal)

Choose the equation that best represents the ellipse with center (�5, �2), horizontal... (answered by ewatrrr)

126y+9y^2-8x-131=-4x^2 How do I find the length of major and minor... (answered by Alan3354)

find an equation of the ellipse that has a center (2,5), a major axis of length 12, and... (answered by greenestamps)

Find the end points of the minor and major axis for the graph of the ellipse... (answered by ikleyn,MathLover1)