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:
the constant rate of change is 20
Answer:
x = 21
Step-by-step explanation:
The 2 angles form a straight angle and are supplementary, thus
7x + 9 + 2x - 18 = 180, that is
9x - 9 = 180 ( add 9 to both sides )
9x = 189 ( divide both sides by 9 )
x = 21
Answer:
B
Step-by-step explanation:
Answer:
c = 3/2
Step-by-step explanation:
hello :
3(5-2x)=-4(cx+4)
-6x+15 = - 4 cx-16
-6x+4cx = -16-15 means 6x-4cx=-31
(6-4c ) x = 31
the equation have no solutions when : 6-4c = 0 (you have : 0x=31...false)
-4c=-6
c= -6/-4
c = 3/2
