There are 5 swimmers in a race. There will be a first-place and a second-place prize awarded. In how many different ways can the
2 answers:
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Answer:
A.
C.
Step-by-step explanation:
Given:
The given line is
Express this in slope-intercept form , where m is the slope and b is the y-intercept.
Therefore, the slope of the line is .
Now, for perpendicular lines, the product of their slopes is equal to -1.
Let us find the slopes of each lines.
Option A:
On comparing with the slope-intercept form, we get slope as .
Now, . So, option A is perpendicular to the given line.
Option B:
For lines of the form , where, a is a constant, the slope is undefined. So, option B is incorrect.
Option C:
On comparing with the slope-point form, we get slope as .
Now, . So, option C is perpendicular to the given line.
Option D:
On comparing with the slope-intercept form, we get slope as .
Now, . So, option D is not perpendicular to the given line.
Using geometric sequence form, we can rewrite it as:
Since r < 1, there exists a limit, and thus, it is said to converge.
Since the ratio is still positive, as n tends towards infinity, the graph of the sequence will never go below the horizontal. Thus, we say that the limit of the function is zero, which means that as we increase the size of n, eventually after the infinite-th time, it will hit zero.