While shopping for clothes Tracy spent $38 less than three times what Daniel spent right and solve an equation to find how much
1 answer:
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Answer:
The standard form of the ellipse is .
Step-by-step explanation:
The major axis of the ellipse is located in the y axis, whereas the minor axis is in the x axis. The center of the ellipse is the midpoint of the line segment between vertices, this is:
(1)
If we know that and
, then the coordinates of the center are, respectively:
The length of each semiaxis is, respectively:
The standard equation of the ellipse is described by the following formula:
Where:
,
- Coordinates of the center of the ellipse.
,
- Length of the orthogonal semiaxes.
If we know that ,
,
and
, then the standard form of the ellipse is:
We can simply observe that.
- 0.777... is rational, because it is a number with infinite but repeating decimal part.
- 1/3 is rational, because it's the division between two integers
, so this is rational as well.
Since the product of two rational numbers is always rational, we have that
are all rationals, since they are the product of two rationals.
On the other hand, we have
and thus
which is irrational.