LegolasFox
LegolasFox LegolasFox
  • 19-07-2020
  • Mathematics
contestada

Suppose that alpha is inversely proportional to beta. If alpha = -6 when beta = 12, find alpha when beta = -2.

Respuesta :

mathstudent55
mathstudent55 mathstudent55
  • 19-07-2020

Answer:

36

Step-by-step explanation:

Equation for an inversely proportional relation, where y is inversely proportional to x:

[tex] y = \dfrac{k}{x} [/tex]

Here we have:

[tex] \alpha = \dfrac{k}{\beta} [/tex]

We use the known ordered pair to find k.

[tex] -6 = \dfrac{k}{12} [/tex]

[tex] k = -72 [/tex]

The relation is:

[tex] \alpha = \dfrac{-72}{\beta} [/tex]

For beta = -2,

[tex] \alpha = \dfrac{-72}{-2} [/tex]

[tex] \alpha = 36 [/tex]

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