Răspuns :
b) ab-100=?
3/b=a/32 ⇒ ab=3×32 ⇒ab=96
96 - 100= -4
c) a/2=b/3=k și a²+b²=52
a/2=k ⇒ a=2k
b/3=k ⇒ b=3k
(2k)²+(3k)²=52
13k²=52
k²=52/13=4
k=√4=2
a=2k=2×2=4
b=3k=3×2=6
Sper că te-am ajutat!
b)
[tex]\it \dfrac{3}{b} = \dfrac{a}{32} \Rightarrow ab= 32\cdot3 \Rightarrow ab=96 \Rightarrow ab-10^2=96-10^2= \\ \\ =96-100=-4[/tex]
c)
[tex]\it \dfrac{a}{2} = \dfrac{b}{3} \Rightarrow \dfrac{a^2}{4} = \dfrac{b^2}{9} =\dfrac{a^2+b^2}{4+9} = \dfrac{52}{13} =4 \\ \\ \\ \dfrac{a^2}{4} =4\Rightarrow a^2=16 \Rightarrow a = 4 \\ \\ \\ \dfrac{b^2}{9} =4\Rightarrow b^2=36 \Rightarrow b = 6 [/tex]
[tex]\it \dfrac{3}{b} = \dfrac{a}{32} \Rightarrow ab= 32\cdot3 \Rightarrow ab=96 \Rightarrow ab-10^2=96-10^2= \\ \\ =96-100=-4[/tex]
c)
[tex]\it \dfrac{a}{2} = \dfrac{b}{3} \Rightarrow \dfrac{a^2}{4} = \dfrac{b^2}{9} =\dfrac{a^2+b^2}{4+9} = \dfrac{52}{13} =4 \\ \\ \\ \dfrac{a^2}{4} =4\Rightarrow a^2=16 \Rightarrow a = 4 \\ \\ \\ \dfrac{b^2}{9} =4\Rightarrow b^2=36 \Rightarrow b = 6 [/tex]