Question

Line segments HG and HJ in xy-coordinate plane both have common endpoint H (-2, 4) and midpoints M1 at (-2, 10) and M2 (8, 5), respectively. What is the distance between M1 and M2? Round to the nearest tenth.

A. 11.1
B. 11.2
C. 15
D. 18.0

Answer 1

distance formula : sqrt ((x2 - x1)^2 + (y2 - y1)^2)
(-2,10)....x1 = -2 and y1 = 10
(8,5)....x2 = 8 and y2 = 5
now we sub
d = sqrt ((8 - (-2)^2 + (5 - 10)^2)
d = sqrt ((8 + 2)^2 + (-5^2))
d = sqrt (10^2) + (-5^2)
d = sqrt (100 + 25)
d = sqrt 125
d = 11.18 which equals 11.2 when rounded to the nearest tenths <=