z varies inversely with the product of x and y. If z = 8 when x = -2 and y = -4, what is z when x = 4 and y = -2?
1. Determine the relationship expression:
Since varies inversely with the product of and , we can write , where is a constant.
2. Find the value of :
When , , and . Substituting these values into the expression gives .
Simplifying, , which means .
3. Find when Click "Show Answer" to reveal the answer and analysis
Click "Show Answer" to reveal the answer and analysis
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