An ellipse has a center at the origin, a vertex along the major axis at (0, 17), and a focus at (0, −8). which equation represents this ellipse? answer choices below vvv

The last one.

Step-by-step explanation:

The standard form equation of an ellipse with foci on the y-axis is ...

  y²/a² +x²/b² = 1

where "a" and "b" are the lengths of the semi-major and semi-minor axes, respectively. If "c" is the distance from the center to the focus, then this relation also holds:

  b² +c² = a²

For this ellipse ...

  b² + 8² = 17²

  289 -64 = b² = 225 . . . . . subtract 8²

  b = 15 . . . . . . . . . . . . . . . . . take the square root

The equation of the ellipse is then ...

  y²/17² +x²/15² = 1

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.

0.16 or 16%

step-by-step explanation:

lets take a coin for example.

if you toss it twice, it has a 1/4 chance of landing on heads both times because 1/2 * 1/2 is 1/4.

with the cards, the chance of picking dog is 0.4. having two people pick one is like picking a card twice in a row. so 0.4 * 0.4 is 0.16, or 16%