Select all of the equations below that are equivalent to: –11 = –14c Use properties of equality. Multi-select Choices: (A)–81 = –14c · 9 (B)77 = –7 · –14c (C)72 = –14c · –6 (D)4 · –11 = –52c

Question

Select all of the equations below that are equivalent to:  –11 = –14c Use properties of equality.    Multi-select Choices: (A)–81 = –14c  ·  9 (B)77 = –7  ·  –14c (C)72 = –14c  ·  –6 (D)4  ·  –11 = –52c

Bytelearn · Accepted Answer

Analyze Original Equation: First, let's analyze the original equation: –11 = –14c. We need to find which of the given choices are equivalent to this equation by using properties of equality.Check Choice (A): For choice (A) –81 = –14c · 9, we need to check if multiplying –14c by 9 gives us –81. Since –14c is equal to –11, we can check if –11 is equal to –81/9. –81/9 = –9, but –11 ≠ –9, so (A) is not equivalent.Check Choice (B): For choice (B) 77 = –7 · –14c, we need to check if multiplying –14c by –7 gives us 77. Since –14c is equal to –11, we can check if –11 is equal to 77/(-7). 77/(-7) = –11, so (B) is equivalent.Check Choice (C): For choice (C) 72 = –14c · –6, we need to check if multiplying –14c by –6 gives us 72. Since –14c is equal to –11, we can check if –11 is equal to 72/(-6). 72/(-6) = –12, but –11 ≠ –12, so (C) is not equivalent.Check Choice (D): For choice (D) 4 · –11 = –52c, we need to check if multiplying –11 by 4 gives us the same result as multiplying –14c by 4. Since –14c is equal to –11, we can check if 4 · –11 is equal to –52c. 4 · –11 = –44, and if we divide –52c by 4, we get –13c. Since –13c ≠ –11, (D) is not equivalent.

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