Asked by Anonymous
                A home in rural area located  at A (22,-24) IS CONVERTING TO NATURAL GAS HEATING. They will be connecting the home to a main gas line with the end points G (-16,-30) and H (38,42) Each unit represents 1m. At what point should the builder connect to the main gas lines to minimize cost. 
            
            
        Answers
                    Answered by
            Reiny
            
    Find the general equation of the line through G and H, using
your favourite method.
You want the shortest distance from point A to the line you found
If the coordinates of a point are (a,b)
then the shortest distance to Ax + By + C = 0
= |aA + bB + C|/√(A^2 + B^2)
once you have the equation, just plug in and grind it out
    
your favourite method.
You want the shortest distance from point A to the line you found
If the coordinates of a point are (a,b)
then the shortest distance to Ax + By + C = 0
= |aA + bB + C|/√(A^2 + B^2)
once you have the equation, just plug in and grind it out
                    Answered by
            Anonymous
            
    Alright I found the answer I believe. Thanks
    
                                                    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.