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Luba_88 [7]
1 year ago
10

4. Find the solution to the equation below. please finish this problem

Mathematics
1 answer:
velikii [3]1 year ago
4 0

Answer:

w = 12

Step-by-step explanation:

We are given the equation:

\displaystyle{\dfrac{w-2}{4} = \dfrac{2w+1}{10}}

First, clear out the denominators by multiplying both sides by LCM. In this scenario, our LCM is 40. Thus, multiply both sides by 40:

\displaystyle{\dfrac{w-2}{4} \cdot 40= \dfrac{2w+1}{10} \cdot 40}

Simplify the expressions/equations:

\displaystyle{(w-2)\cdot 10= (2w+1)\cdot 4}\\\\\displaystyle{10w-20= 8w+4}

Isolate w-variable:

\displaystyle{10w-20= 8w+4}\\\\\displaystyle{10w-8w=4+20}\\\\\displaystyle{2w=24}\\\\\displaystyle{w=12}

Hence, the solution is w = 12

If you have any questions regarding my answer or explanation, do not hesitate to ask away in comment!

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we have

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Group terms that contain the same variable, and move the constant to the opposite side of the equation

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Factor the leading coefficient

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Complete the square. Remember to balance the equation by adding the same constants to each side

y-9+8=2(x^{2} -4x+4)

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Rewrite as perfect squares

y-1=2(x-2)^{2}

y=2(x-2)^{2} +1-----> equation in vertex form


therefore


the answer is the option C

y=2(x-2)^{2} +1


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