HighLevel math: find the measure of the the acute angle between the lines 2x+y = 5 and 3x-2y = 8

Question

amistre64 · Answer

create vectors from your slope to play with

amistre64 · Answer

a=<2,-1> and b=<2,3> cos(t) = a.b/|a||b|

anonymous · Answer

I still don't get the expansion

amistre64 · Answer

$$cos(t)=\frac{2(2)+-1(3)}{\sqrt{(5)(13)}}$$
$$t=cos^{-1}\left(\frac{2(2)+-1(3)}{\sqrt{(5)(13)}}\right)$$

amistre64 · Answer

my "a" is a litle off; I got the components swapped about i believe

amistre64 · Answer

2x+y = 5 -2/1 = y/x ... <1,-2> 3x-2y = 8 -3/-2 = y/x ... <2,3>

amistre64 · Answer

yeah, .... so to adjust for errors lol

$$cos(t)=\frac{1(2)-2(3)}{\sqrt{(5)(13)}}$$
$$t=cos^{-1}\left(\frac{1(2)-2(3)}{\sqrt{(5)(13)}}\right)$$

looks a little better

anonymous · Answer

Thanks a lot

anonymous · Answer

emm isn the angle supposed to be acute? because you got an obtuse angle