Use complete sentences to describe why Set A = { X | X is an even whole number between 0 and 2} = ∅
2 answers:
Consider the Set A = {X | X is an even whole number between 0 and 2 } = .
Since, whole numbers are the set of numbers starting from zero upto infinity.
Even numbers are the numbers which are exactly divisible by '2'.
So, we have to find the even whole number between 0 and 2.
Since, only '1' is a whole number between 0 and 2 which is not an even number as '1' is not divisible by '2'.
Therefore, there is no even whole number between 0 and 2.
So, this set is empty.
Therefore, A = { X | X is an even whole number between 0 and 2} =
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With vertex (h, k), we can write the equation as:
Replacing (h, k) with (0, 0), we get:
Now, the focus is a point (a, 0) on the parabola, such that its length from any point on the parabola is equidistant to the moving point on the parabola and the directrix, often noted as: x or y = -a
We're given the focus is: (7, 0)
The focus in its most general term is (a, 0), for when the vertex is at the origin.
Thus a = 7.
With vertex (h, k), we can write the equation as:
Replacing (h, k) with (0, 0), we get:
Now, the focus is a point (a, 0) on the parabola, such that its length from any point on the parabola is equidistant to the moving point on the parabola and the directrix, often noted as: x or y = -a
We're given the focus is: (7, 0)
The focus in its most general term is (a, 0), for when the vertex is at the origin.
Thus a = 7.