SOLUTION: Find the value of k so that the given points are 26 units apart. (–8, k ), (–7, 0)

Algebra ->  Formulas -> SOLUTION: Find the value of k so that the given points are 26 units apart. (–8, k ), (–7, 0)      Log On


   

Question 550463: Find the value of k so that the given points are 26 units apart. (–8, k ), (–7, 0)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Applying the distance formula:
+26+=+sqrt%28+%28+k+-+0+%29%5E2+%2B+%28+-8+-%28-7%29+%29%5E2+%29+
+26+=+sqrt%28++k%5E2+%2B+%28+-1+%29%5E2+%29+
+26+=+sqrt%28+k%5E2+%2B+1+%29+
+26%5E2+=+k%5E2+%2B+1+
+676+=+k%5E2+%2B+1+
+k%5E2+=+675+
+k+=+25.98+
also
If k is assumed to be negative
+%28-k%29%5E2+=+675+
+-k+=+25.98+
+k+=+-25.98+
Hope I got it