Please help me as soon as possible! 36 - 2s² + t² S = 2 T = 8
1 answer:
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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
