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guajiro [1.7K]
2 years ago
7

Answer below please!

Mathematics
1 answer:
poizon [28]2 years ago
6 0

Answer:

x=-\frac{11}{18}

Step-by-step explanation:

-1\frac{7}{9}=(-2\frac{5}{6} + \frac{1}{3})x

Solve parenthesis first

-2\frac{5}{6}  + 1/3

Find a common denominator.

The common denominator would be 6.

Because the first expression already has a denominator of 6 it stays the same.

\frac{1}{3} = \frac{2}{6}

-2\frac{5}{6} + \frac{2}{6} = -2\frac{7}{6} = -1\frac{1}{6}

Put that into the original equation.

-1\frac{7}{9}=(-1\frac{1}{6} )x

Isolate the x. Add 1\frac{1}{6} to each side.

-1\frac{7}{9}+ 1\frac{1}{6}=x

Find a common denominator.

we can use 18 as the common denominator.

-1\frac{7}{9}+ 1\frac{1}{6}= -1 \frac{14}{18} +1\frac{3}{18}= x

Add.

-\frac{11}{18} =x

We cannot simplify so our answer stays the same.

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Answer:

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Step-by-step explanation:

We need to complete the square:

x^2 − 4x − 8 = 0

x^2 -2(x)(2)+(2)^2 -8 -4 =0

(x^2 -4x +4) - 12 = 0

(x-2)^2 -12 =0

Now, finding the value of x

(x-2)^2 -12 =0

(x-2)^2 = 12

taking square root on both sides

\sqrt{(x-2)^2}= \sqrt{12} \\(x-2) = \pm\sqrt{12} \\x = \pm\sqrt{12} +2\\x = \sqrt{12}+2 \,\,and\,\,x=-\sqrt{12}+2\\x= 3.46+2 \,\,and\,\,x=-3.46+2\\x =5.46\,\,and\,\,x=-1.46

So, After completing the square the expression is (x-2)^2 -12 =0 and real solution are x = 5.46 and x = -1.46

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3 years ago
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5 0
2 years ago
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mixas84 [53]

Answer:

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Step-by-step explanation:

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iren [92.7K]

Answer:

21.33 to nearest hundredth

Step-by-step explanation:

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Plug in the given values to find k:-

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