Just multiply like normal and carry over
Answer:
The distance between parallel lines is
Step-by-step explanation:
we have
-----> equation A
-----> equation B
Line A and Line B are parallel lines, because their slopes are equal
Step 1
Find the slope of the given lines
isolate the variable y in the equation A
The slope is
Step 2
Find the slope of the perpendicular line to the given lines
we know that
If two lines are perpendicular, then the product of their slopes is equal to -1
so
we have
-----> given lines
substitute
Step 3
Find the equation of the perpendicular line that pass though the origin
with the slope and the point (0,0) Find the equation of the line
Step 4
Using a graphing tool
Graph the two parallel lines and the perpendicular line
The intersection points are
and
see the attached figure
we know that
the distance between the points A and B is the distance between parallel lines
the formula to calculate the distance between two points is equal to
substitute the values
Answer:
x
Step-by-step explanation:
distribute
then add like terms
Answer:
182
Step-by-step explanation:
The number of permutations of 14 things taken 2 at a time is ...
14P2 = 14·13 = 182
The first color can be any of the 14 on the palette. The second color must be different, so can be any of the remaining 13.
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We assume that a "yellow/red" flag is different from a "red/yellow" flag. That is, <em>order matters</em>.
D. slope: -2 y-intercept:8