Question

AJUTOOOOOR!!!!!! AM NEVOIE DE EA FACUT-A PANA LA 11

Answer 1

Răspuns:

Explicație pas cu pas:

a. f(x)=x-4

∩OX, y=0⇒ x-4=0⇒x=4 A(4,0)

∩OY, x=0⇒ y=-4 B(0,-4)

b. ai atasat poza cu desenul

c. ΔAOB dreptunghic isoscel pentru ca AO=OB=4

$A_{AOB}=\frac{AO\cdot OB}{2}=8$

d. tg ∡(Ox,AB)=tg ∡BAO=tg 45°=1

e. tg ∡(Oy,AB)= tg∡OBA=tg45°=1

f.  MN⊥AB

In ΔMOA aplicam Pitagora

MA²=MO²+OA²

MA²=9+16=25

MA=5

In ΔAOB aplicam Pitagora

AB²=AO²+OB²

AB²=16+16=32

AB=4√2

MB=3+4=7

$A_{MAB} =\frac{AO\cdot MB}{2} =\frac{MN\cdot AB}{2}$

$\frac{4\cdot7}{2} =\frac{MN\cdot4\sqrt{2} }{2}$

$MN=\frac{7\sqrt{2} }{2}$

g. Fie QP⊥AB

QO=3

$A_{QBA}=\frac{BO\cdot QA}{2}=\frac{QP\cdot BA}{2}$

$\frac{4\cdot7}{2} =\frac{QP\cdot 4\sqrt{2} }{2}$

$QP=\frac{7\sqrt{2} }{2}$