3 years ago

Find the least common denominators for 1/a and 8/8a^2

Mathematics

1 answer:

Nikolay [14]3 years ago

7 0

a^2 is the answer
Hope this helps

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Solve x2 = 12x – 15 by completing the square. Which is the solution set of the equation? Solve x2 = 12x – 15 by completing the s

Svetlanka [38]

Answer: $6+\sqrt{21}\ \text{and}\ 6-\sqrt{21}$

Step-by-step explanation:

Given

Quadratic equation is

$x^2-12x+15=0$

Solving by completing the square method

$\Rightarrow x^2-2\cdot 6\cdot x+15=0\\\text{add and subtract 36}\\\Rightarrow x^2-2\cdot 6\cdot x+15+36-36=0\\\Rightarrow x^2-2\cdot 6\cdot x+36+(-36+15)=0\\\text{using}\ (a-b)^2=a^2+b^2-2ab\\\Rightarrow (x-6)^2-21=0\\\Rightarrow (x-6)^2=21\\\Rightarrow x-6=\pm \sqrt{21}\\\Rightarrow x=6\pm \sqrt{21}$

The solution set of the equation is $6+\sqrt{21}\ \text{and}\ 6-\sqrt{21}$

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Which of the following expressions is equivalent to 3 m ( m − 2 ) − ( m ^2 + 1 ) ?

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Step-by-step explanation:

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Every year, the amount of CO2 in the atmosphere increases by a factor of

MrRa [10]

About 0.5 percent per year

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What is 2 divided by 3 written as fractions?

Pachacha [2.7K]

1/3 with a line over the answer ( 0.66666666666...)

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What is the result of adding these two equations?

timofeeve [1]

Answer:

the result of adding these two equations is

3x = 14

Step-by-step explanation:

We are given two equations

5x − y = 6 eq. 1

−2x + y = 8 eq. 2

Add the like terms together

5x - 2x = 3x

− y + y = 0

6 + 8 = 14

So the result of adding these equations is

3x + 0 = 14

3x = 14

Bonus:

The value of x is

3x = 14

x = 14/3

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