Final answer:
To simplify the expression -w^2 - sqrt(3v - x) / w(v-1) with given values v = 6, w = -9, and x = 7, we substitute the values and simplify to -81 - sqrt(11) / -45.
Step-by-step explanation:
To simplify the expression -w^2 - √(3v - x) / w(v-1), we can substitute the given values of v = 6, w = -9, and x = 7.
So, the expression becomes -(-9)^2 - √(3(6) - 7) / -9(6-1).
Simplifying further, we get -81 - √(18 - 7) / -9(5).
Finally, the simplified expression is -81 - √11 / -45.