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
The answer maybe C ) cylinder =200pie and cone = 80pie
Answer:
-5
Step-by-step explanation:
20-5m
20-5(5)
20-25
5.
Is this the answer that you are looking for?
Answer:
A. She can rotate AABC 90° and then compare the angles and sides.
She will see that the triangles are congruent by the Angle Side Angle theorem.
Step-by-step explanation:
Congruent is a term that implies that a thing is identical to another (having the same shape and size). For congruent triangles, they have the same shape and size; they can be tilted or rotated to be at different angles but they have the same shape and size irrespective.
The following information were given:
D - 30°, 3 cm, 65°
B - 30°, 3 cm, 65°
From this information, we can conclude that <u>the triangles are congruent based on the Angle Side Angle theorem</u>. However, because the diagram was not included, we cannot conclusively say which is the more accurate answer between Options A & B.