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w=-2, x = 3, y=0, z= -1/2 y²-w²/xz​

Sagot :

Answer:

[tex]=\frac{8}{3}[/tex]

Step-by-step explanation:

If w = -2, x = 3, y = 2 and z = -1/2 then find the value

[tex]\frac{y^{2}-w^{2} }{xz}[/tex]

Given:

  • w = -2
  • x = 3
  • y = 0
  • z = -1/2

Formulas:

  • a²-b² = (a+b)(a-b)
  • (-a)² = a²
  • (-a) × (-b) = ab
  • 1/(a/b) = b/a

To find:

[tex]\frac{y^{2}-w^{2} }{xz}\\[/tex]

[tex]\frac{0^{2}-(-2)^{2} }{3*\frac{-1}{2} }[/tex]

[tex]\frac{0-4}{\frac{-3}{2} }[/tex]

[tex]-4*-\frac{2}{3}[/tex]

[tex]=\frac{8}{3}[/tex]