Distinguish differences and similarities between slope intercept form and point slope form ohysics
1 answer:
Differences:
point slope form of line:
(a) equation is
where m is slope and (x1,y1) is a point
(b)This equation of line can be determined when two points are given
(x1, y1) and (x2,y2)
slope intercept form of line:
(a) equation is
where m is a slope
b is y-intercept
(b)This equation of line can be determined when y-intercept and slope are given
Similarilties:
(a) both are equation of straight line
(b) slope is always constant in both
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Answer:
Proved
Step-by-step explanation:
From the given parameters, we have:
i.e. the length of each security numbers
i.e. 2 security numbers
Required
In 513 security numbers, 2 must have matching zeros
To do this, we make use of Pigeonhole principle.
First, we calculate the number of all security numbers not having matching zeros.
Each of the 9 digits can be selected in 2 ways.
2 ways implies that each digit is either 0 or not
So, total selection is:
Apply Pigeonhole principle
The principle states that: suppose there are n items in m containers, where , then there is at least one container that contains more than 1 item.
This means that if there are 512 security number without matching zeros, then there is 1 (i.e. 512 + 1) with matching zeros.