(5.6x - 4) + (16 - 2.1x) What is the sum of this expression?

Mathematics

1 answer:

Damm [24]2 years ago

7 0

$\huge\text{Hey there!}$

$\large\textsf{(5.6x - 4) + (16 - 2.1x)}$

$\large\text{DROP the PARENTHESES}$

$\large\textsf{5.6x - 4 + 16 - 2.1x}$

$\large\text{COMBINE the LIKE TERMS}$

$\large\textsf{5.6x - 2.1x - 4 + 16}$

$\large\textsf{5.6x - 2.1x = \bf 3.5x}$

$\large\textsf{-4 + 16 = \bf 12}$

$\large\textsf{= \bf 3.5x + 12 }$

$\boxed{\boxed{\large\text{Answer: \huge \bf 3.5x + 12}}}\huge\checkmark$

$\text{Good luck on your assignment and enjoy your day!}$

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What is the following quotient? 1 divided by 1+ square root 3

ollegr [7]

Answer:

4th option

Step-by-step explanation:

The given expression is:

$\frac{1}{1+\sqrt{3}}$

In order to simplify this expression we have to multiply and divide it with the conjugate of the denominator i.e multiply and divide the entire expression with $1-\sqrt{3}$ , as shown below:

$\frac{1}{1+\sqrt{3}}\\=\frac{1}{1+\sqrt{3}} \times \frac{1-\sqrt{3}}{1-\sqrt{3}}\\=\frac{1-\sqrt{3}}{(1)^{2}-(\sqrt{3})^{2}}\\\\ =\frac{1-\sqrt{3}}{1-3}\\\\ =\frac{1-\sqrt{3}}{-2}\\\\ =\frac{-1(1-\sqrt{3})}{2}\\\\ =\frac{-1+\sqrt{3}}{2}$