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Alexxandr [17]
1 year ago
11

Julie plans to put a fence around her square shaped backyard. The length of one side measures 2n-3feet. Write a simplified expre

ssion to represent the perimeter of the backyard. 
Mathematics
1 answer:
Vsevolod [243]1 year ago
5 0

We have the following:

Since it is a square, the sides are equal, and the perimeter is the sum of all the sides, therefore it would be

\begin{gathered} p=4\cdot l \\ l=2n-3 \\ \text{replacing} \\ p=4\cdot(2n-3) \\ p=8n-12 \end{gathered}

The answer is 8n - 12

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\large \boxed{\sf \ \ x = -\dfrac{\sqrt{33}+1}{4} \ \ or \ \ x = \dfrac{\sqrt{33}-1}{4} \ \ }

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Hello, please find below my work.

2x^2+x-4=0\\\\\text{*** divide by 2 both sides ***}\\\\x^2+\dfrac{1}{2}x-2=0\\\\\text{*** complete the square ***}\\\\x^2+\dfrac{1}{2}x-2=(x+\dfrac{1}{4})^2-\dfrac{1^2}{4^2}-2=0\\\\\text{*** simplify ***}\\\\(x+\dfrac{1}{4})^2-\dfrac{1+16*2}{16}=(x+\dfrac{1}{4})^2-\dfrac{33}{16}=0

\text{*** add } \dfrac{33}{16} \text{ to both sides ***}\\\\(x+\dfrac{1}{4})^2=\dfrac{33}{16}\\\\\text{**** take the root ***}\\\\x+\dfrac{1}{4}=\pm \dfrac{\sqrt{33}}{4}\\\\\text{*** subtract } \dfrac{1}{4} \text{ from both sides ***}\\\\x = -\dfrac{1}{4} -\dfrac{\sqrt{33}}{4} \ \ or \ \ x = -\dfrac{1}{4} +\dfrac{\sqrt{33}}{4}

Hope this helps.

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