manny789 manny789
  • 20-08-2019
  • Mathematics
contestada

If a =-12/5, then 5x+2y=6 and 3x - ay= 4 are parallel.
True or false

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Tucon
Tucon Tucon
  • 20-08-2019

 

[tex]\displaystyle\\d_1:~~~5x+2y=6~\implies~m_1=\boxed{-\frac{5}{2}}\\\\d_2:~~3x-ay=4~~with~~a=\frac{-12}{5}\\\\d_2:~~3x+\frac{12}{5}y=4~\implies~m_2=\frac{~-3~}{\dfrac{12}{5}}=-\frac{15}{12}=\boxed{-\frac{5}{4}}\\\\\\\bf~m_1\neq m_2\\\\\implies~~FALSE[/tex]

 

 

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