Answer: -1/9 * x.
Explanation:
To simplify the expression (5x^2) / (-45x), we can divide the coefficients and subtract the exponents:
(5 / -45) * (x^2 / x)
Simplifying the coefficient:
-1/9 * (x^2 / x)
Now, simplify the variables:
-1/9 * x^(2-1) = -1/9 * x
Therefore, the simplified expression is -1/9 * x.