SOLUTION: For what value of k are the graphs of 12y=-3x+8 and 6y=kx-5 perpendicular?
Algebra.Com
Question 911963: For what value of k are the graphs of 12y=-3x+8 and 6y=kx-5 perpendicular?
Found 3 solutions by jim_thompson5910, stanbon, MathLover1:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
12y=-3x+8
y=(-3x+8)/12
y = (-3/12)x + 8/12
y = (-1/4)x + 2/3
The slope is -1/4
-------------------------------------------------------
6y=kx-5
y=(kx-5)/6
y = (k/6)x - 5/6
The slope is k/6
-------------------------------------------------------
The two slopes -1/4 and k/6 must multiply to -1 if they are form perpendicular lines
(-1/4)*(k/6) = -1
-k/24 = -1
-k = -1*24
-k = -24
k = 24
So the answer is k = 24
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
For what value of k are the graphs of 12y=-3x+8 and 6y=kx-5 perpendicular?
-------------------
Find the slopes::
y = -3/12 *x + 2/3
slope = -1/4
---------------
y = (k/6)x - (5/6)
slope = k/6
-----
To be perpendicular, solve
(-1/4)(k/6) = -1
Solve for "k"::
(1/4)(k/6) = 1
k = 24
----------------
Cheers,
Stan H.
================
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
For what value of are the graphs of and perpendicular?
the lines are perpendicular if slopes have opposite signs, and their values are reciprocals
or,
...find the slope
.... slope
...find the slope
.... slope
now find that will make
....solve for
...cross multiply
then
=> and =>
so, will be perpendicular to if
let see it on a graph:
RELATED QUESTIONS
For what value of k are the graphs of 12y=-3x+8 and 6y=kx-5 perpendicular? Thanks for... (answered by Fombitz)
Find the value on K for which the graphs of Kx-2y+13=0 and 9x-6y+11=0 are... (answered by Maths68)
Find the value of k such that the graphs of x + 7y = 70 and y + 3 = kx are... (answered by stanbon)
. Find the value of k such that the graphs of x + 7y = 70 and y + 3 = kx are... (answered by OmniMaestra)
Find the value of k so that the graphs of 5y + kx = 3 and 7x - 24y = 15 are... (answered by josgarithmetic)
For what value of a are the equations 3x+12y=-6 and 6y=ax+9 perpendicular?
A. 26
B. 24
(answered by ReadingBoosters)
For what value of k will the pair of equations 3x+4y=12 and kx+12y=30 not have a unique... (answered by richwmiller)
Please can someone help me, I tried lots of times to solve it but I couldn't. So the... (answered by Edwin McCravy)
For what value(s) of k are the two planes parallel? ( 4x+ 6y−4z=0
−kx + 15y... (answered by Fombitz)