zwgoosebumps
Answered

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Solve the formula for x.
S=2πzx+7πz2

Sagot :

mhanifa

Answer:

Given:

  • S = 2πzx + 7πz²

Isolate x:

  • 2πzx = S - 7πz²

Divide both sides by 2πz:

  • x = (S - 7πz²)/(2πz)
  • x = S/(2πz) - 3.5z

[tex]\\ \tt\longmapsto S=2\pi zx+7\pi z^2[/tex]

[tex]\\ \tt\longmapsto S=\pi z(2x+7z)[/tex]

[tex]\\ \tt\longmapsto 2x+7z=\dfrac{S}{\pi z}[/tex]

[tex]\\ \tt\longmapsto 2x=\dfrac{S}{\pi z}-7z[/tex]

[tex]\\ \tt\longmapsto 2x=\dfrac{S-7\pi z^2}{\pi z}[/tex]

[tex]\\ \tt\longmapsto x=\dfrac{S-7\pi z^2}{2\pi z}[/tex]

[tex]\\ \tt\longmapsto x=\pi z\left(\dfrac{S-7z}{2}\right)[/tex]

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