Question

49x^2 + 16y^2 - 392x +160y +400 = 01. does the ellipse open horizontally or vertically?2. give the coordinates of the upper vertex3. give the coordinates of the lower vertex4. give the coordinates of the upper focus(round to the nearest hundredths)5. give the coordinates of the lower focus(round to the nearest hundredths)6. give the eccentricity

Answer 1

According to the given equation, the ellipse opens vertically, that is, the major axis is vertical.

The coordinates of the upper vertex are (4,2).

The coordinates of the lower vertex are (4,-12).

The coordinates of the upper focus are (4, 0.7)

The coordinates of the lower focus are (4, -10.7).

The eccentricity is 0.82.