ajutorrrrr repede pana la 14:15​

Răspuns:

Explicație pas cu pas:

încerc cu x-y=15

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{ x, y ,z) ip { 2,5,6)

K= CONSTANTA

2x+5y+6z= K

2x=k

x= k/2

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5y=k

y= k/5

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6z= k

z= k/6

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x-y=15

⁵⁾k/2-²⁾ k/5=¹⁰⁾15

5k-2k=150

3k= 150

k=150:3

k=50

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înlocuim k cu ..50

x= k/2=50/2=25

y= k/5= 50/5=10

z= k/6=50/6=8,(6)

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3)

4 min ........100 rotatii

6min .........x rotatii

x= (6*100)/4

x= 600/4

x= 150 rotatii

• Exercitiul 2 )

[tex](x,y,z) i.p(2,5,6)[/tex]

[tex]x-y=15[/tex]

[tex]x=\frac{k}{2}[/tex]  

[tex]y=\frac{k}{5}[/tex]

[tex]z=\frac{k}{6}[/tex]

[tex]x-y=15 => \frac{k}{2} -\frac{k}{5} =15[/tex]

[tex]3k=15*10[/tex] [tex]=> 3k=150[/tex]

[tex]k=\frac{150}{3} =50[/tex]

[tex]x=\frac{k}{2} =\frac{50}{2} =25[/tex]

[tex]y=\frac{k}{5} =\frac{50}{5}=10[/tex]

[tex]z=\frac{k}{6} =\frac{50}{6} =8,(3)[/tex]

Numerele sunt : 25; 10 ; 8,(3)

• Exercitiul 3 )

Necunoscuta o notam cu x

4 min (minute) ............... 100 rotatii

6 min (minute).................  x

x=[tex]\frac{6*100}{4}[/tex] = [tex]\frac{600}{4}[/tex] = [tex]=> x=150[/tex]

In 6 minute roata face 150 de rotatii .