Question

!TWELVE POINTS + BRAINLIEST ANSWER! Write the equation for an ellipse with y intercepts (0,-3) and (0, 3) and major axis of length 10. (must show your work to get a good rating)

Answer 1

Answer:

x²/25 + y²/9 = 1  or 9x² + 25y² = 225

Step-by-step explanation:

We have two points which is y intercepts (0,-3) and (0,3).

We know that the major axis is 2a and secondary axis is 2b

These two points are vertical top of the ellipse which they give us value of half secondary axis  b = 3

The length of major axis is 2a = 10 => a = 10/2 = 5 => a = 5

The equation of the ellipse is:

x²/a² + y²/b² = 1  or b²x² + a²y² = a²b²

When we replace value of a and b we get:

x²/5² + y²/3² = 1  or 3²x² + 5²y² = 5² · 3²    and finally

x²/25 + y²/9 = 1  or 9x² + 25y² = 225

God with you!!!