Marimi direct proportionale [ Probleme ]

misuh Dum Apr 14, 2013 6:55 pm

1. Calculati numerele rationale x,y,z stiind ca intre urmatoarele multimi exista o proportionalitate directa:

a) {3,9,18} si {x;4;y} b) {5,x,y} si {10,4,8}

**ati** Dum Apr 14, 2013 9:27 pm

misuh a scris:1. Calculati numerele rationale x,y,z stiind ca intre urmatoarele multimi exista o proportionalitate directa:
a) {3,9,18} si {x;4;y} b) {5,x,y} si {10,4,8}

$a)\;daca\;(3;9;18)\;d.p\;(x;4;y)\;\\\;\;\Rightarrow\; \frac{3}{x}=\frac{9}{4}=\frac{18}{y}\;\;deci:x=\frac{3\cdot4}{9}=\frac{4}{3}\;\;si\;\;y=\frac{4\cdot18}{9}=8\;;\\ \;\;b)\;asemanator\\\;\Rightarrow\;\frac{5}{10}=\frac{x}{4}=\frac{y}{8}\;de\;unde\;x=\frac{5\cdot4}{10}=...\;si\;y=\frac{8\cdot5}{10}=...$

Marimi direct proportionale [ Probleme ]

Marimi direct proportionale [ Probleme ]

Marimi dir.prop.