Question

Ache o ângulo agudo entre as retas 3x − 4y + 2 = 0 e 2x + 3y = 7

Answer 1

3x − 4y + 2 = 0
-4y=-3x-2
y=-3x/-4-2/-4
y=3x/4+1/2


2x + 3y = 7
3y=-2x+7
y=-2x/3+7/3


tga=|(m1-m2)/1+m1×m2|
tga=|(3/4+2/3)/1+3/4×2/3|
tga=|(9+8)/12/1+6/12|
tga=|(17/12)/(12+6)/12|
tga=|(17/12)/18/12
tga=|(17×12)/(12×18)
tga=|204/216|
tga=|17/18|
tga=0.94=arctg0.94=0.75°