Asked by Mokotedi
Determine the shortest distance from a house situated at the origin to a road that is represented by the line 3y+x+18=0
Answers
Answered by
MathMate
The shortest distance from a point P(x0,y0) to a line L: Ax+By+C = 0 is the length of the perpendicular from P to L.
The distance is given by:
D=(Ax0+By0+C)/√(A²+B²)
Although D may be positive or negative, take the absolute value (i.e. positive value).
Applying the formula, we get, for origin(0,0),
D=(3(0)+(0)+18)/√(3²+1²)
=18/√10
The distance is given by:
D=(Ax0+By0+C)/√(A²+B²)
Although D may be positive or negative, take the absolute value (i.e. positive value).
Applying the formula, we get, for origin(0,0),
D=(3(0)+(0)+18)/√(3²+1²)
=18/√10
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.