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Pearson Algebra 2 Common Core, 2011

PA

Pearson Algebra 2 Common Core, 2011 View details

End-of-Course Assessment

Exercise 2 Page 964

Apply inverse operations to isolate r.

G

Practice makes perfect

We are given the Newton's Law of Universal Gravitation equation. F = G m_1 m_2/r^2 To solve this literal equation for r, we will use the Properties of Equality to apply inverse operations on the equation. Remember, only like terms can be combined.

F = G m_1 m_2/r^2

LHS * r^2=RHS* r^2

r^2 F= G m_1 m_2

.LHS /F.=.RHS /F.

r^2 = Gm_1m_2/F

sqrt(LHS)=sqrt(RHS)

r= sqrt(Gm_1m_2/F)

This corresponds to option G.

Subchapter links

Exercises p.964-971