Which elements of the set of natural numbers are also irrational numbers?
2 answers:
Answer:
No element of set of natural numbers can also be an irrational number.
Step-by-step explanation:
The real numbers are collection of all rational numbers and irrational numbers.
Rational numbers are the numbers that can be expressed in the form of fraction and have a terminating decimal expansion. On the other hand irrational numbers are the numbers that cannot be expressed in the form of fraction and have a non-termination decimal expansion.
Now, natural numbers fall under the category of rational numbers. It is denoted by .
Thus, no element of set of natural numbers can also be an irrational number that is natural number cannot be irrational numbers.
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Answer:
The equation for a parabola with vertex at the origin and a directrix at x = 1/48 is .
Step-by-step explanation:
As directrix is a vertical line, the parabola must "horizontal" and increasing in the -x direction. Then, the standard equation for such geometric construction centered at (h, k) is:
Where:
,
- Horizontal and vertical components of the location of vertex with respect to origin, dimensionless.
- Least distance of directrix with respect to vertex, dimensionless.
Since vertex is located at the origin and horizontal coordinate of the directrix, least distance of directrix is positive. That is:
Now, the equation for a parabola with vertex at the origin and a directrix at x = 1/48 is .