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