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3 years ago

Solve the formula for x. S=2πzx+7πz2

Mathematics

2 answers:

maks197457 [2]3 years ago

8 0

$\\ \tt\longmapsto S=2\pi zx+7\pi z^2$

$\\ \tt\longmapsto S=\pi z(2x+7z)$

$\\ \tt\longmapsto 2x+7z=\dfrac{S}{\pi z}$

$\\ \tt\longmapsto 2x=\dfrac{S}{\pi z}-7z$

$\\ \tt\longmapsto 2x=\dfrac{S-7\pi z^2}{\pi z}$

$\\ \tt\longmapsto x=\dfrac{S-7\pi z^2}{2\pi z}$

$\\ \tt\longmapsto x=\pi z\left(\dfrac{S-7z}{2}\right)$

Lubov Fominskaja [6]3 years ago

7 0

Answer:

Given:

S = 2πzx + 7πz²

Isolate x:

2πzx = S - 7πz²

Divide both sides by 2πz:

x = (S - 7πz²)/(2πz)

x = S/(2πz) - 3.5z

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