hamidiso23
Answered

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Solve the following equation for a. Be sure to take into account whether a letter is capitalized or not.


D = Ga + 3h3a


a =??

Sagot :

[tex]\\ \sf\longmapsto D=Ga+3h^3a[/tex]

  • Take out a common

[tex]\\ \sf\longmapsto a(G+3h^3)=D[/tex]

[tex]\\ \sf\longmapsto a(3h^3)=\dfrac{D}{G}[/tex]

[tex]\\ \sf\longmapsto a^3=\dfrac{D}{3Gh}[/tex]

[tex]\\ \sf\longmapsto a=\sqrt{\dfrac{D}{3Gh}}[/tex]

ᴜᴋɪʏᴏ

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

  • D = Ga + 3h³a
  • a = ?

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex] \sf \: D = Ga+3 { h }^{ 3 } a[/tex]

Swap sides so that all variable terms are on the left-hand side.

[tex] \sf \: Ga+3h^{3}a=D [/tex]

Combine all terms containing a.

[tex] \sf\left(G+3h^{3}\right)a=D [/tex]

Divide both sides by [tex]\sf\:G+3h^{3}[/tex].

[tex] \sf\frac{\left(G+3h^{3}\right)a}{G+3h^{3}}=\frac{D}{G+3h^{3}} \\ [/tex]

Dividing by [tex]\sf\:G+3h^{3} [/tex] undoes the multiplication by [tex]\sf\:G+3h^{3}[/tex].

[tex] \boxed{ \boxed{ \bf \: a=\frac{D}{G+3h^{3}} }} \\ [/tex]

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