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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:
9 hours
Step-by-step explanation:
$495 divided by 15 hours = $33 - this is how much the trainer charges per hour.
$297 divided by $33 per hour = 9 hours of training
Answer:
8 quaters 3 nickels
Step-by-step explanation:
For this case we have that by definition, the volume of a cube is given by:
Where:
l: It's the side of the cube
According to the statement data:
Substituting in the formula we have:
Thus, the shipping cube volume is
Answer:
