Question

X Y Z direct proporțional cu 8, 12, 16. y=6. ​

Answer 1

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Answer 2

Răspuns:

Explicație pas cu pas:

[x, y, z ] d.p. [ 8, 12, 16]

x/8 = y/12 = z/16,    y = 6

x/8 = y/12,   inlocuiesc pe y cu 6

x/8 = 6/12 =>  x = (8×6)/12  =>   x = 48/12   ⇒  x = 4

y/12 = z/16

6/12 = z/16 =>  z = ( 6×16)/12 =>  z = 96/12 =>  z = 8

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Sau:

x/8 = y/12 = z/16 = k ->  coeficient de proportionalitate

x = 8k, y = 12k si  z = 16 k

y = 12k =>  12 k = 6 =>  k = 6/12 =>  k = 1/2

x = 8×k = 8 × (1/2) = 8/2  ⇒   x = 4

z = 16 k = 16 × ( 1/2) = 16/2 ⇒ z = 8