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The value of 'x' in the ordered pair (x,...

The value of 'x' in the ordered pair `(x, -8)` if the ordinate of the pair is 4 more than the abscissa is _______.

A

`-4`

B

`-8`

C

`-12`

D

4

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to determine the value of 'x' in the ordered pair (x, -8) given that the ordinate (y-coordinate) is 4 more than the abscissa (x-coordinate). 1. **Understanding the terms**: In the ordered pair (x, -8), 'x' is the abscissa (x-coordinate) and '-8' is the ordinate (y-coordinate). 2. **Setting up the equation**: According to the problem, the ordinate is 4 more than the abscissa. We can express this relationship mathematically: \[ \text{ordinate} = \text{abscissa} + 4 \] Substituting the values we have: \[ -8 = x + 4 \] 3. **Solving for 'x'**: We need to isolate 'x' in the equation: \[ -8 - 4 = x \] \[ -12 = x \] 4. **Final answer**: Therefore, the value of 'x' in the ordered pair (x, -8) is: \[ x = -12 \]
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