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review: 11. solve the following equation for w: \\( l = \\frac{p - 2w}{…

Question

review:

  1. solve the following equation for w: \\( l = \frac{p - 2w}{2} \\)
  2. the expression \\( \sqrt{45} + \sqrt{80} \\) is equivalent to:

Explanation:

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For Question 11:

Step1: Multiply both sides by 2

$2L = P - 2w$

Step2: Rearrange to isolate $2w$

$2w = P - 2L$

Step3: Divide by 2 to solve for $w$

$w = \frac{P - 2L}{2}$
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For Question 12:

Step1: Simplify $\sqrt{45}$

$\sqrt{45} = \sqrt{9 \times 5} = 3\sqrt{5}$

Step2: Simplify $\sqrt{80}$

$\sqrt{80} = \sqrt{16 \times 5} = 4\sqrt{5}$

Step3: Add the simplified terms

$3\sqrt{5} + 4\sqrt{5} = 7\sqrt{5}$

Answer:

  1. $w = \frac{P - 2L}{2}$
  2. $7\sqrt{5}$