4 years ago

Rearrange, P=2l+2w solve for w.

Mathematics

1 answer:

Gennadij [26K]4 years ago

8 0

P= 2l+2w

P-2l= 2w

1/2P -l= w

Rearrange into standard form.

w= 1/2P -l

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The equality of bases property says powers of the same base will be equal if and only if the powers are equal. This property is used to solve exponential equations.

<h3>Application</h3>

$\dfrac{(2)^x}{2}=16\qquad\text{copy of the original equation}\\\\2\times\dfrac{(2)^x}{2}=2\times16\qquad\text{multiply by 2 to isolate the base}\\\\2^x=32\qquad\text{simplify}\\\\2^x=2^5\qquad\text{rewrite the constant as a power of 2}\\\\\boxed{x=5}\qquad\text{use the Equality of Bases Property}$