Answer:
Step-by-step explanation:
For one line to be perpendicular to another, their slopes must multiply to -1. So, we really want the line with slope 
that passes through the point 
.
Recall the point-slope form of a line. If you have a point 
and a slope 
, the line through that point with the given slope is 
. Plugging in our given point and slope gives our line: 
(point-slope form).
We can convert this line to slope-intercept form, the most common form by expanding the right side and adding 
to get 
by itself:
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The English alphabet contains 26 letters (a, b, c, ...y, z).
The digits from 0 to 9 are a total of 10.
A keycode contains 2 letters, and 3 numbers, for example:
AB 598; MM 139; NT 498; ...
So there are 26 possible choices for the first letter, which can combined with any of the 26 possible choices for the second letter, so there are a total of
26*26=676 possible pairs of letters.
Similarly, the 10 possible choices for the first number, which can be combined with the 10 possible choices for the second number, and the 10 possible choices for the third number make a total of :
10*10*10=1,000 possible triples of numbers.
Any of the 676 possible pairs of letters can be combined with any of the possible 1,000 triples of numbers. This makes a total of
676*1,000=676,000 keycodes.
Answer: 676,000
Answer:
Step-by-step explanation:
From the Venn diagram, n(AUB)=31
The given probabilities in the option are calculated below:
The only correct option is the probability of B which is 
Answer:
y = -5x + 1
Step-by-step explanation:
y - 6 = -5 (x + 1)
distribute -5 (x + 1) by multiplying
y - 6 = -5x - 5
than add 6 to both sides
y = -5x + 1
