BariBxi
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if
[tex] \frac{x}{y} = - 2[/tex]
solve this:
[tex] \sqrt{ \frac{ {x}^{2} }{ {y}^{2} } + \frac{ {y}^{2} }{ {x}^{2} } } [/tex]
​

Respuesta :

mhanifa

Answer:

  • [tex]\sqrt{17}/2[/tex]

Step-by-step explanation:

Given:

  • x/y = - 2

Then:

  • y/x = - 1/2

Solve the expression:

  • [tex]\sqrt{x^2/y^2+y^2/x^2} =[/tex]
  • [tex]\sqrt{(x/y)^2+(y/x)^2} =[/tex]
  • [tex]\sqrt{(-2)^2+(-1/2)^2} =[/tex]
  • [tex]\sqrt{4+1/4} =[/tex]
  • [tex]\sqrt{17/4} =[/tex]
  • [tex]\sqrt{17}/2[/tex]
blackshades

x/y = -2

Then,

x = -2

y = 1

=》y/x = 1/-2 = -1/2

The remaining steps are attached. Please check.

=》 Final answer = √17/4 = 2.061 (approx.)

______

RainbowSalt2222 ☔

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