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3 years ago

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

y = 25/x^2

when y = 1

1 = 25/x^2

x^2 = 25

x = 5

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4 years ago

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3 years ago

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 (Weight)
15 ----------------------------35
n ----------------------------- 175

2) Pass: Multiply cross

$35*n = 15*175$

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

Answer:
75 nails weigh 175 grams

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3 years ago