Question

Află valoarea lui t din proportile:
a) 4/3=t+4/12
t=.......;
b) t+2/t=7/5
t=.......;
c)t-1/t-2=2/5
t=.......;

Answer 1

Răspuns

Explicație pas cu pas:

a) 48=3t+12, 3t=48-12=36, t=36:3=12

b) 5t+10 = 7t, 2t=10, t=5

c) 5t-5 = 2t-4, 3t=1, t=1/3

Answer 2

$\it \dfrac{4}{3}= \dfrac{t+4}{12} \Rightarrow t+4= \dfrac{4\cdot12^{(3}}{3} \Rightarrow t+4 = 4\cdot4 \Rightarrow t+4 = 16 \Rightarrow t=16-4=12\\ \\ \\ \dfrac{t+2}{t}=\dfrac{7}{5}\stackrel{derivare}{\Longrightarrow}\ \dfrac{t+2-t}{t}=\dfrac{7-5}{5} \Rightarrow\dfrac{2}{t}=\dfrac{2}{5} \Rightarrow t = 5$