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The resultant force r is related to two concurrent forces,x and y acting at right angles to one another by the formula r^2=x^2+y^2 rewrite the formula for y help plz

Respuesta :

if r^2=x^2+y^2 then
y^2=r^2-x^2
y=[tex] \sqrt{r^2-x^2} [/tex]

Answer:

The required formula is [tex]y=\pm\sqrt{r^2-x^2}[/tex].

Step-by-step explanation:

The given formula is

[tex]r^2=x^2+y^2[/tex]

We have to rewrite this formula for y.

Subtract x² from both the sides.

[tex]r^2-x^2=x^2+y^2-x^2[/tex]

[tex]r^2-x^2=y^2[/tex]

Taking square root both the sides.

[tex]\pm\sqrt{r^2-x^2}=\sqrt{y^2}[/tex]

[tex]\pm\sqrt{r^2-x^2}=y[/tex]

Therefore the required formula is [tex]y=\pm\sqrt{r^2-x^2}[/tex].

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