Final answer:
To find the values of the variables, we equate the corresponding elements of the two given expressions. k = -6, w = ±9, and f = -7.
Step-by-step explanation:
To find the values of the variables, we need to equate the corresponding elements of the two given expressions.
-12 = 2k
-w² = -81
2f = -14
3 = 3
From the first equation, we can solve for k by dividing both sides by 2. k = -6.
In the second equation, we can solve for w² by multiplying both sides by -1. w² = 81. Taking the square root of both sides, we get w = ±9.
Finally, in the third equation, we can solve for f by dividing both sides by 2. f = -7.