**Where is the table? I need to see a table to give the answer**

The standard equation for an ellipse is

where

(h,k) = coordinates of the center

a, b = semi-major and semi-minor axes

Refer to the figure shown below.

The center of the ellipse is at (0,0).

Therefore, h=0, k=0.

One focus is at (12, 0)

Therefore

c = 12

One directrix is at 14 1/12 = 169/12.

Because the directrix is located at x = a²/c, therefore

a²/12 = 169/12

a² = 169/144

a = 13

Because c² = a² - b², obtain

b² = a² - c²

= 169 - 144 = 25

b = 5

Answer:

The equation for the ellipse is

Answer:

d. Cos B = 9/41

Step-by-step explanation:

Recall, SOHCAHTOA.

Cos B = Adjacent length / Hypotenuse length

Adjacent length to reference angle B = 27

Hypotenuse length = 123

Cos B = 27/123 = 9/41

**Answer:**

i added an attachment of the graph :)

**Step-by-step explanation:**