Question

Find the value of m so the distance between the points A(5,-3) and B(13,m) is 10 units.

Answer 1

Answer:

Two solutions:  m = 3  and  m = -9

Step-by-step explanation:

Distance from A to B = 10

=>  √[ (13 - 5)² + (m - -3)² ] = 10

=> √[ 8² + (m+3)² ] = 10

=> 64 + (m+3)² = 100

=> (m+3)² - 36 = 0

=> (m+3)² - 6² = 0

=> ( m+3-6 ) ( m+3+6 ) = 0

=> ( m - 3 ) ( m + 9 ) = 0

=> m = 3   OR   m = -9