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Pavel [41]
3 years ago
7

-1/2w-3/3=1/3w been struggling with the longest time. please help

Mathematics
1 answer:
algol133 years ago
7 0

Answer:

-6/5 = w

Step-by-step explanation:

-1/2w-3/3=1/3w

Add 1/2 w to each side

-1/2w+ 1/2 w -3/3=1/3w+ 1/2 w

-3/3 = 1/3w+ 1/2 w

-3/3 is 1

-1 = 1/3w+ 1/2 w

Get a common denominator for the right side of 6

-1 = 1/3*2/2 w + 1/2 *3/3 w

-1 = 2/6w + 3/6 w

-1 = 5/6 w

Multiply by 6/5 to isolate w

-1 *6/5 = 5/6*6/5 w

-6/5 = w

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<img src="https://tex.z-dn.net/?f=y%2B%20%20%5Cfrac%7B13%7D%7B4%7D%20%20%3D%20%28x%5E2-%20%5Cfrac%7B1%7D%7B2%7D%20%29%5E2" id="T
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<u>Step-by-step explanation:</u>

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y+\dfrac{13}{4}=\bigg(x-\dfrac{1}{2}\bigg)^2\\\\\\x+\dfrac{13}{4}=\bigg(y-\dfrac{1}{2}\bigg)^2\rightarrow \text{(swapped the x's and y's)}\\\\\\\sqrt{x+\dfrac{13}{4}}=\sqrt{\bigg(y-\dfrac{1}{2}\bigg)^2}\rightarrow \text{(took square root of both sides)}\\\\\\\sqrt{\dfrac{4x+13}{4}}=\pm \bigg(y-\dfrac{1}{2}\bigg)}\rightarrow \text{(created common denominator in radical)}\\\\\\ \dfrac{\sqrt{4x+13}}{2}=\pm \bigg(y-\dfrac{1}{2}\bigg)}\rightarrow \text{(simplified radical)}

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