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devlian [24]
3 years ago
15

Provide answer. If y varies inversely as x^2, and x = 4 while y = 1/4, find x when y = 1.

Mathematics
2 answers:
Andrews [41]3 years ago
8 0
The X would equal 16
Anuta_ua [19.1K]3 years ago
5 0

y = k/x^2, where k is the constant of variation we need to determine  

1/4 = k/10^2  

1/4 = k/100  

25 = k

so  

y = 25/x^2    

when y = 1  

1 = 25/x^2  

x^2 = 25  

x = 5

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5 0
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Read 2 more answers
Fifteen 2 inch nails weigh 35 grams. How many of these nails weigh 175 grams? Can you explain how to do this please thankyou so
polet [3.4K]
Solving:

1) Pass: Make the rule three (Directly proportional) 

Two inch nails ______ grams (<span>Weight)
</span>15 ----------------------------35
n ----------------------------- 175

2) Pass: <span>Multiply cross
</span>
35*n = 15*175

3) Pass: Simplify
35*n = 15*175
35n = 2625
n =  \frac{2625}{35}
\boxed{n = 75}

Answer:
75 nails weigh 175 grams



8 0
3 years ago
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