localegirl localegirl
  • 14-10-2020
  • Mathematics
contestada

write y=x²+6x-1 in terms of r, given x/r=-3​

Respuesta :

erinna erinna
  • 20-10-2020

Given:

[tex]y=x^2+6x-1[/tex]

[tex]\dfrac{x}{r}=-3[/tex]

To find:

The given equation in terms of r if [tex]\dfrac{x}{r}=-3[/tex].

Solution:

Given that,

[tex]\dfrac{x}{r}=-3[/tex]

[tex]x=-3r[/tex]

We have,

[tex]y=x^2+6x-1[/tex]

Substitute x=-3r in the above equation.

[tex]y=(-3r)^2+6(-3r)-1[/tex]

[tex]y=9r^2-18r-1[/tex]

Therefore, the required equation in terms of r is [tex]y=9r^2-18r-1[/tex].

Answer Link

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