Question

Encontre o valor de m tal que as retas (r) 10x+my-5=0 e (s)3x-10y-4=0 sejam perpendiculares

Answer 1

Condição para ser perpendicular :

mr.ms=-1

Reta r:

my=-10x+5
y=-10x/m + 5/m

mr=-10/m

Reta s:

-10y=-3x+4
y=-3x/-10 +4/-10

ms=3/10

mr.ms=-1

-10/m . 3/10 = -1

-3=-m

m=3