Respuesta :
Explanation:
(m1) slope of L1=-(2-k)/-1=2-k
(m2) slope of L2=-8/k
a)
if they are parallel
m1=m2
2-k=-8/k
2k-k²=-8
k²-2k-8=0
k²-4k+2k-8=0
k(k-4)+2(k-4)=0
(k-4)(k+2)=0
either
k=4
or
k=-2
when lines are perpendicular
m1m2=-1
(2-k)×-8/k=-1
-16+8k=-k
8k+k=16
9k=16
k=16/9
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find K so that the line L1 2kxy 1 and L28xky12 find a parallel to each other b perpendicular to each othetr
find K so that the line L1 =(2-k)x-y =-1 and L2=8x+ky=12 find
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find K so that the line L1 =(2-k)x-y =-1 and L2=8x+ky=12 find
a) parallel to each other
b) perpendicular to each othetr
Respuesta :
Explanation:
(m1) slope of L1=-(2-k)/-1=2-k
(m2) slope of L2=-8/k
a)
if they are parallel
m1=m2
2-k=-8/k
2k-k²=-8
k²-2k-8=0
k²-4k+2k-8=0
k(k-4)+2(k-4)=0
(k-4)(k+2)=0
either
k=4
or
k=-2
when lines are perpendicular
m1m2=-1
(2-k)×-8/k=-1
-16+8k=-k
8k+k=16
9k=16
k=16/9