Given that the sum of Point B and Point C is zero, we can express this mathematically as:
\[ B + C = 0 \]
From this equation, we can deduce that \( C = -B \). This means that Point C is the opposite of Point B, and vice versa. In other words, if Point B is a positive number, Point C will be its negative counterpart (and vice versa).
Now, let's evaluate the statements one by one:
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Point B is twice the distance to the left of zero as C is to the right of zero.
- This statement is not necessarily true. The distances have no specific relation other than one being the opposite of the other.
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Point B is the opposite of Point C.
- This statement is true based on the equation \( C = -B \).
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Point B has a value of 0 and Point C has a value less than 0.
- This statement is false because if \( B = 0 \), then \( C \) would also equal 0, not less than that.
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Point B is positive, while Point C is negative.
- This statement is generally true as long as \( B \) is not equal to 0. However, the opposite can also be true (i.e., \( B \) being negative and \( C \) being positive).
Thus, the most accurate statement about points B and C, given that their sum is zero, is:
Point B is the opposite of Point C.
2 answers