The relation Ris defined on Z as follows: ∀ M , N ∈ Z , M R N ⟷ ∃ K ∈ Z ∣ ( M + N ) = 2 K [( M + N ) Is An Even Number]

Required:
Prove that the relation R is an equivalence relation.

Complete the solution of the equation. find the value of y when x equals -5. -4x - 8y = -52

Determine the common ratio and find the next three terms of the geometric sequence. 649-14-02-00-00_files/i0100000, 649-14-02-00-00_files/i0100001, 2, a. 3; 649-14-02-00-00_files/i0100002, 649-14-02-00-00_files/i0100003, 649-14-02-00-00_files/i0100004. c. 649-14-02-00-00_files/i0100005; 649-14-02-00-00_files/i0100006, 649-14-02-00-00_files/i0100007, 649-14-02-00-00_files/i0100008. b. 3; 6, 18, 54 d. 649-14-02-00-00_files/i0100009. 6, 18, 54 select the best answer from the choices provided a b c d

21 a stick 7 inches long is broken into two pieces, so that one piece is twice as long as the other one. how long are the two pieces?