A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 3 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.
 3 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.

This Question is Closed

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

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

Hero
 3 years ago
Best ResponseYou've already chosen the best response.1talk about taking it further than necessary

cinar
 3 years ago
Best ResponseYou've already chosen the best response.2the 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
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.