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Points R, S, and T are plotted on a number line. The coordinate of point R is –6. Points S and T are the same distance from point R.


What could be the coordinates of S and T?


A.

S = 0, T = 6


B.

S = –4, T = –2


C.

S = –9, T = –12


D.

S = –10, T = –2

Verified Answer :

DS=-10, T=-2 is the answer.

While we check all the given options, we will see that no option other then option D gives us the equal value of difference between R and S, and R and T; which doesn't makes the given value of S and T in option(s) A, B and C equidistant from R as given in the question. Thus, it gives us option D as the answer.

Mathematically-

Considering the option D only,
 
 R - S = -6 - (-10) = -6 + 10 = 4
 and, T - R = -2 - (-6) = -2 + 6 = 4
 thus, R - S = T - R

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