Hi, thank you for posting your question here at Brainly.
The general equation of a horizontal ellipse is
(x-h)2/a2 + (y-k)2/b2 = 1, at center (h,k) while a = semi-major axis, b = semi-minor axis. These are related through the distance of the focus from the center,c. a2 = b2 + c2.
If you draw the points on a coordinate plane, the center of the ellipse is at (0,0), so h and k equals 0. Then, the minor axis (2b) spans from 8 to -8 of the y-axis. This is equal to 16 units. Hence,
2b = 16
b = 8
b^2 = 64
The distance between the two foci is 2c. Thus,
2c = 12
c = 6
c^2 = 36
Then, a2 = 64 + 36 = 100. Substituting to the general equation:
x^2/100 + y^2/64 = 1
Answer:
The answer to your question is below
Step-by-step explanation:
Data
Volume = 24 in³
Process
1.- Find the prime factors of 24
24 2
12 2
6 2
3 3
1
2.- Volume of a rectangular package
Volume = length x height x width
3.- Possible values are, combine the prime factors to find the volume
Volume = 4 x 2 x 3 or
Volume = 2 x 4 x 3
Volume = 3 x 2 x 4
Volume = 2 x 2 x 6
Volume = 6 x 2 x 2
Volume = 2 x 6 x 2
Volume = 12 x 2 x 1
Volume = 1 x 12 x 2
Volume = 2 x 1 x 12
Answer:
C
Step-by-step explanation:
