To represent \(-2 \cdot 9\) using a model, you want to show the operation of multiplying -2 by 9. This can be interpreted as adding \(-9\) two times.
The correct representation from the given options is:
−(9 + 9)
This expression indicates that you are taking \(9 + 9\) (which equals 18) and applying a negative sign to it, effectively representing \(-2 \cdot 9\).
Alternatively, you could also express it as:
−9 + −9
This states that you are adding \(-9\) two times, which also results in \(-18\).
So either of these expressions (-9 + -9 or --(9 + 9)) accurately represents \(-2 \cdot 9\).