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if slope of QR is x-1/4 and slope of ST is 8/3. If QR is perpendicular to ST what is the value of x

 Feb 21, 2016
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If the slope of  QR  =   x - 1/4    ....a line perpendicular to it will have a negative reciprocal slope....=

-1 / [ x - 1/4]

 

And since ST  is  perpendicular.....it's slope  8/3  must =  -1 / [x - 1/4]......cross-multiply and we have....

 

8 [x - 1/4]  = 3 * -1

 

8x - 2  = -3     add 2 to both sides

 

8x   = -1        divide both sides by  8

 

x = -1/8

 

 

 

cool cool cool

 Feb 21, 2016

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