Question

The numbers a, b, and c are not zero, and a/b = C. Micah claims that -a/-b = C must also be true.

Which of these statements support Micah's claim? Choose the THREE correct answers.
A. (-1). a = -a
B. (-1). b = -b
С. (-1). c = -c
D. (-1)/1 = -1
E. (-1)/1 = 1
F. You can divide numbers in any order.

Answer 1

Micah's claim that -a/-b = c is supported by the statements: A. (-1). a = -a, B. (-1). b = -b, and D. (-1)/1 = -1.

Step-by-step explanation:

Micah's claim that (-a) / (-b) = c is supported by the following statements:

1. A. (-1). a = -a - This statement shows that the negative of a number is equal to the negative of its absolute value. For example, -3 is equal to -(-3) which is also 3.
2. B. (-1). b = -b - This statement shows that the negative of a number is equal to the negative of its absolute value. For example, -5 is equal to -(-5) which is also 5.
3. D. (-1)/1 = -1 - This statement shows that dividing -1 by 1 results in -1.

In each of these cases, the negative sign remains consistent throughout the calculation, supporting Micah's claim that -a/-b = c.