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Is the line through points P(–8, –10) and Q(–5, –12) perpendicular to the line through points R(9, –6) and S(17, –5)? Explain.
 2 years ago
 2 years ago
Is the line through points P(–8, –10) and Q(–5, –12) perpendicular to the line through points R(9, –6) and S(17, –5)? Explain.
 2 years ago
 2 years ago

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HeroBest ResponseYou've already chosen the best response.1
no, because when the lines intersect they should intersect at 90 degree angles. They do not.
 2 years ago

cinarBest ResponseYou've already chosen the best response.2
\[\tan \theta=\frac{m_1m_2}{1+m_1m_2}\] \[m=\frac{y_2y_1}{x_2x_1}\] \[m_1=\frac{5(6)}{179}=1/8\] \[m_2=\frac{12(10)}{5(8)}=2/3\] \[\tan \theta=\frac{2/31/8}{1+(2/3)*1/8)}=19/22\] \[\theta=\tan^{1} (19/22)\] \[\theta=40.8\]
 2 years ago

HeroBest ResponseYou've already chosen the best response.1
talk about taking it further than necessary
 2 years ago

cinarBest ResponseYou've already chosen the best response.2
the shortest way is that, if they are perpendicular then multiply of their slop must be 1 if \[ \theta=90 \] then this must \[m_1*m_2=1\] and we know that \[m_1*m_2=1/12\] hence \[\theta\] cannot equal to 90
 2 years ago
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