Răspuns:
2/11
Explicație pas cu pas:
Facem intersectia cu axa OX.
Gf∩OX={A(x,0)}.
f(x)=0
-11x+2=0
-11x=-2
x=2/11
Deci, A(2/11,0).
Aflam distanta de la O la A.
OA=√[(xA-xO)²+(yA-yO)²]=√(2/11)²=√4/121=2/11
Facem intersectia cu axa OY.
Gf∩OY={B(0,y)}.
f(0)=y
-11*0+2=y
2=y
Deci, B(0,2).
Aflam distanta de la O la B.
OB=√[(xB-xO)²+(yB-yO)²]=√2²=√4=2
A=OA*OB/2=2/11*2*1/2=(2*2)/(11*2)=4/22=2/11 u.m²
