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Margarita [4]
3 years ago
11

2x^2+3x=(2x-1)(x+1) Pls do explain

Mathematics
2 answers:
Serggg [28]3 years ago
5 0
<h3><u>Answer:</u></h3>

<u />x=-\frac{1}{2}

<h3><u>Step-by-step explanation:</u></h3>

You could solve this problem by either: Factoring or by using the Quadratic Formula.

SOLVING BY FACTORING STEPS

<em>STEP 1:</em><em> Move (2x−1)(x+1) to the left side of the equation by subtracting it from both sides.</em>

<em />2x^2+3x-(2x-1)(x+1)=0

<em>STEP 2:</em><em> Simplify 2x^2+3x−(2x−1)(x+1).</em>

<em />2x+1=0

<em>STEP 3: </em><em>Simplify each term.</em>

<em />2x^2+3x-2x^2-x+1=0

<em>STEP 4: </em><em>Simplify by adding terms.</em>

<em />2x+1=0

<em>STEP 5:</em><em> Subtract 1 from both sides of the equation.</em>

<em />2x=-1

<em>STEP 6: </em><em>Divide each term by 2 and simplify.</em>

<em />x=-\frac{1}{2}

SOLVE BY USING THE QUADRATIC FORMULA STEPS

<em>STEP 1: </em><em>Move all terms to the left side of the equation and simplify.</em>

<em />2x+1=0<em />

<em>STEP 2: </em><em>Subtract 1 from both sides of the equation.</em>

<em />2x=-1<em />

<em>STEP 3: </em><em>Divide each term by 2 and simplify.</em>

<u />x=-\frac{1}{2}

Anon25 [30]3 years ago
4 0
X= -1/2 hope this helps hehe :)
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ollegr [7]

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The equation (i) can be rewritten as:

x_1+x_2+x_3+...+x_{n-1}+x_n+x_{n+1}=m\\\\&#10;x_1+(x_2'+1)+(x_3'+1)+...+(x_{n-1}'+1)+x_n+x_{n+1}=m\\\\&#10;x_1+x_2'+x_3'+...+x_{n-1}'+x_n+x_{n+1}=m-(n-1)\\\\&#10;x_1+x_2'+x_3'+...+x_{n-1}'+x_n+x_{n+1}=m-n+1~~~(ii)

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[I can write the proof if you want]

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4 0
3 years ago
Find the measure of Angle 3.
Monica [59]

Answer:

63

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3 years ago
From A to B a private plane flies 2.8 hours at 110 mph on a bearing of 64 degrees . It turns at point B and continues another 1.
Firdavs [7]

Answer:

a. 360.323 m

b. 95.265^{o}

Step-by-step explanation:

Distance covered from A to B = speed x time

                                                 = 110 x 2.8

                                                 = 308 m

Distance covered from B to C = speed x time

                                                  = 110 x 1.7

                                                  = 187 m

The sum of angles at B = 64^{o} + 26^{o}

                                       = 90^{o}

a. The distance of the plane from it starting point to C can be determined by applying the cosine rule.

b^{2} = a^{2} + c^{2} - 2ac Cos B

Sot hat;

b^{2} = 187^{2} + 308^{2} - 2(187 x 308) Cos 90^{o}

But, Cos 90^{o} = 0

So that,

b^{2} = 187^{2} + 308^{2}

  = 34969 + 94864

  = 129833

b = \sqrt{129833}

  = 360.323

The distance from A to C is 360.323 m.

b. Applying the sine rule;

\frac{a}{SinA} = \frac{b}{SinB}

\frac{187}{SinA} = \frac{360.323}{Sin90^{o} }

\frac{187}{SinA} = \frac{360.323}{1}

Sin A = \frac{187}{360.323}

         = 0.5190

⇒ A = Sin^{-1} 0.5190

       = 31.265^{o}

The bearing of the plane from its original location = 64^{o} + 31.265^{o}

                                                     = 95.265^{o}

8 0
3 years ago
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