Find the length of the segment with endpoints ( 3/2 , -1/4 ) and ( 2/5 , 1/3 )

Answer 1

change in x: 3/2 - 2/5 = 15/10 - 4/10 = 11/10

change in y: 1/3 - -1/4 = 1/3 + 1/4 = 4/12+3/12 = 7/12

distance formula says:

sqrt ( (11/10)^2 + (7/12)^2 ) =

sqrt ( 121/100 + 49/144) =

sqrt ( (121*144 + 49*100)/(14400) )

= sqrt ( (17424 + 4900)/14400 )

= sqrt ( 22324/14400)

22324 = 2 * 11162 = 2 * 2 * 5581

14400 = 144*100

final answer: 2 * sqrt(5581)/ (12*10)

= 2 * sqrt(5581)/120

= sqrt(5581)/60

which is approximately 1.2451015130413173575414612213003

Answer 2

please see video