27 is a composite number.
The answer will be x squared over 4 plus y squared over 8 equals 1.
<h3> What is an ellipse?</h3>
An ellipse is an oval shape geometry having two focuses and the curve is equidistant from the focus.
The general equation of the ellipse is given as;
(x²/a²) + (y²/b²) = 1
The coordinates of a foci are: (±c, 0) where;
c² = b² - a²
However, we know that equation of directrix is; x = ±a/e
Now, Directrix is given ±4
Thus, a/e = 4
a = 4e
We also know that c = ae from ellipse foci coordinates.
Thus, ae = 2
since ae = 2, then (4e)e = 2
4e² = 2
e² = 2/4
e = 1/2
Thus;
a = 4 × 1/2
a = 2
Since c² = b² - a²;
2² = b² - 2²
4 = b² - 4
b² = 8
From (x²/a²) + (y²/b²) = 1, we can put our values to get;
x²/4 + y²/8 = 1
Hence the answer will be x squared over 4 plus y squared over 8 equals 1.
To know more about an ellipse follow
brainly.com/question/16904744
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Answer:
25-15
Step-by-step explanation:
arc length = pi /180 * angle in degree * radius
2 = pi/180 * 30 *r
2 = pi/6 *r
multiply by 6/pi
12/pi =r
3.819718634 =r
Answer: r =3.82 inches
