5) 2x - y = 6
-x + 2y = 6 | *2
2x-y=6
-2x+4y=12
---------------------
3y=18 => y = 6
2x-y=6; y=6
2x-6=6 =>x = 6.
x=y=6. Punctul de intersectie P(6,6)
AP= [tex] \sqrt{(6-2)^2+(6-3)^2} = \sqrt{25} = 5[/tex]
6) [tex]NP^2=NM^2+MP^2-2MN*MP*cos M[/tex]
[tex]6^2=4^2+5^2-2*4*5*cos M[/tex]
40 * cos M = 5
cos M = [tex] \frac{1}{8} [/tex]
