SOLUTION: find the shortest distance between the parallel lines with equations 5x-12y+33=0 and 5x-12y-6=0 A.3 B.39 c.27/5 D.27/13 E.n/a

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: find the shortest distance between the parallel lines with equations 5x-12y+33=0 and 5x-12y-6=0 A.3 B.39 c.27/5 D.27/13 E.n/a       Log On


   

Question 146723:
find the shortest distance between the parallel lines with equations 5x-12y+33=0 and 5x-12y-6=0
A.3
B.39
c.27/5
D.27/13
E.n/a

Found 2 solutions by jim_thompson5910, miker:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First you need to find the line that is perpendicular to 5x-12y%2B33=0 (it will also be perpendicular to 5x-12y-6=0)


Now this line will intersect with both equations 5x-12y+33=0 and 5x-12y-6=0. So you want to find the points of intersection. From there, simply use the distance formula d=sqrt%28%28x%5B2%5D-x%5B1%5D%29%5E2%2B%28y%5B2%5D-y%5B1%5D%29%5E2%29 to find the distance between the two points of intersection. I hope that's enough to get you started.

Answer by miker(1) About Me  (Show Source):
You can put this solution on YOUR website!
D=sqrtformula (x^2-x^1)^2+(y^2-y^1)^2
d= (5x^2-5x^1)^2+(-12y^2-12y^1)^2
d= (25x-5x)^2 + (144y-12y)^2
d= (20x)^2 + (132y)^2

and then this i where i get stuck