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Big Ideas Math Integrated I, 2016 View details

5. Rewriting Equations and Formulas

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Exercise 28 Page 40

Apply inverse operations to isolate h.

h=S-2π r^2/2π r

Practice makes perfect

To solve the given formula for h, we will use the Properties of Equality to apply inverse operations on the equation. Remember, only like terms can be combined.

S=2π r^2+2π rh

SubEqn

LHS-2π r^2=RHS-2π r^2

S-2π r^2=2π rh

DivEqn

.LHS /2π r.=.RHS /2π r.

S-2π r^2/2π r=h

RearrangeEqn

Rearrange equation

h=S-2π r^2/2π r