Question

Help Please.........​

Answer 1

x = - 10.5

Explanation:

Given that y is inversely proportional to x² then the equation relating them is

y =
`(k)/(x^2)` ← k is the constant of proportion

To find k use the condition y = 8 when x = 3.5 , then

8 =
`(k)/(3.5^2)` ( multiply both sides by 3.5²

8 × 3.5² = k , that is

k = 98

y =
`(98)/(x^2)` ← equation of proportion

When y =
`(8)/(9)` , then

`(8)/(9)` =
`(98)/(x^2)` ( cross- multiply )

8x² = 882 ( divide both sides by 8 )

x² = 110.25 ( take the square root of both sides )

x = ±
`√(110.25)` = ± 10.5

Thus x = - 10.5 ← is the negative value of x

Answer 2

Explanation:

Mark or flag this, i realized i messed up when i reread it and there's a better answer underneath this one. My apologies