Find the length of segment JK with endpoints J(4, 8) and K(-1, -2). Leave the answer as a radical. Simplify if necessary and show work.
A.15
B.125
C.55
D.255
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Answer: B.125
step by step solution:
J(4, 8) = ( x_1 , y_1 )
K(-1, -2) = ( x_2 , y_2 )
distance formula: √[( x_2 - x_1 )²+( y_2 - y_1 )²]
√[ [(-1) - (4)]² + [(-2) - (8)]² ]
√[ [ -1 -4 ]² + [ -2 -8 ]² ]
√[ [-5]² + [-10]² ]
√[ 25 + 100 ]
√125
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