Answer:
x squared over 4 plus y squared over 8 equals 1
Step-by-step explanation:
The general equation of 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
Answer:
Find the LCM of 3.5 and 2.25
Step-by-step explanation:
which is 31.5
Answer:
b≤3
Step-by-step explanation:
For this problem, you want to solve it similarly to linear equations.
We start with 4b+6≤18.
Subtracting 6 from both sides gives 4b≤12.
From there, in order to isolate the b, we must divide both sides by 4, leaving b≤3.
**This content involves solving linear inequalities, which you may wish to revise. I'm always happy to help!
