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Trigonometry 13 Online
OpenStudy (ulahlynn):

please need help in finding k for parallel and perpendicular lines

OpenStudy (imsleeziboii):

Ill try

OpenStudy (ulahlynn):

OpenStudy (ulahlynn):

here is the questions. :))

OpenStudy (imsleeziboii):

Okay give me one minute

OpenStudy (ulahlynn):

i already solved no.1 letter a and b but not sure though.

OpenStudy (imsleeziboii):

@dumbcow

OpenStudy (imsleeziboii):

not too sure about this one sorry :) im sure that dumbcow can solve this.

OpenStudy (ulahlynn):

ohh okaay but thankyou anyways. @imsleeziboii

OpenStudy (dumbcow):

first convert each equation into slope-intercept form ---> y = mx+b , where "m" is the slope parallel lines have equal slope perpendicular lines have slopes that have a product of -1 (m1*m2 = -1)

OpenStudy (ulahlynn):

after this i'll just equate the two k's together?.. and so basically in 1. (a) the answer is k= 1/2? is this correct?

OpenStudy (anonymous):

liten if these lines are parralel their slopes are equal ,try to convert them in standard form as y=mx+c and compare the m and you will found your answer

OpenStudy (ulahlynn):

ohh okaay2. thankyou

OpenStudy (dumbcow):

yes k = 1/2 for part a

OpenStudy (anonymous):

these are the very easy questions

OpenStudy (dumbcow):

for part b) you should get \[\frac{2-k}{3} = k+1\] when you equate the slopes

OpenStudy (ulahlynn):

and in no. 1 part b. its -1/4

OpenStudy (ulahlynn):

okaay i'll try to solve no.2 can you check them after? thank you so much

OpenStudy (dumbcow):

correct on part b sure thing

OpenStudy (ulahlynn):

in no.2 part a.. the k=1/2 also?

OpenStudy (dumbcow):

correct

OpenStudy (ulahlynn):

okaay but im having problems in solving the part b

OpenStudy (ulahlynn):

in the first equation it's y=k^2x +1 and y=\[\frac{ x }{ k-2 }\] +4

OpenStudy (ulahlynn):

is te 2nd.. what should i do then?

OpenStudy (dumbcow):

multiply 2 slopes, set equal to -1 \[k^2 * \frac{1}{k-2} = -1\] \[k^2 = -(k-2)\] \[k^2 +k -2 = 0\]

OpenStudy (ulahlynn):

ohhh soo (k+2) (k-1) with k=-2 and k=1 both will be the answers?

OpenStudy (dumbcow):

yep you got it

OpenStudy (ulahlynn):

yeaay! aaww thankyouu so much for your time and effort @dumbcow :))

OpenStudy (dumbcow):

your welcome

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