# Y varies inversely with the square of x, Given that y= 1/3 when x= -2, how do you express y in terms of x?

##### 3 Answers

#### Answer:

#### Explanation:

Since

Since

Thus, we can express

#### Answer:

#### Explanation:

Inverse means

#1/"variable"# The square of x is expressed as

#x^2#

#"Initially " yprop1/x^2#

#rArry=kxx1/x^2=k/x^2# where k is the constant of variation.To find k use the given condition

#y=1/3" when " x=-2#

#y=k/x^2rArrk=yx^2=1/3xx(-2)^2=4/3#

#rArr color(red)(bar(ul(|color(white)(2/2)color(black)(y=4/(3x^2))color(white)(2/2)|)))larr" is the equation"#

#### Answer:

#### Explanation:

Y varies inversely with square of x means

plug in

multiply with

therefore,