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3 years ago

11

Rationalization

rac{6}{ \sqrt{3} } " alt=" \frac{6}{ \sqrt{3} } " align="absmiddle" class="latex-formula">

1 answer:

rosijanka [135]3 years ago

7 0

Answer:

2√3

Step-by-step explanation:

To rationalize, we multiply the denominator and numerator by the surd at the base

We have it that;

6/√3 * 1

= 6/√3 * √3/√3

= 6 √3/3 = 2√(3

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Line Equation from Two Points

Verdich [7]

Hi!

We can use <u>point-slope form </u>to solve this.

$y-y_{1} =m(x -x_{1})$

$y_{1}$ <em> and </em> $x_{1}$ <em> will be from one of the points.</em>

<u>First, we have to find </u> $m$ <u>, the slope. We can use the slope equation to get this.</u>

$\frac{y_{1} -y_{2} }{x_{1} -x_{2} }$

<em>Plug in your points:</em>

$\frac{4-0}{8-(-8)} =\frac{4-0}{8+8} =\frac{4}{16} =\frac{1}{4}$

Your slope is $\frac{1}{4}$

<u><em>Now plug points and slope into point-slope equation. We will use (8, 4).</em></u>

$y-4=\frac{1}{4} (x-8)$

Now, if you want to get it into y = mx + b form, you have to solve for y:

$y-4=\frac{1}{4} (x-8)$

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Your equation is $y=\frac{1}{4} +2$

<u><em>For more information on how to get the equation of a line when given two points, see here:</em></u>

brainly.com/question/986503

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2 years ago

manda made $270 for 18 hours of work. At the same rate, how many hours would she have to work to make $165?

frozen [14]

ANSWER:
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EXPLANTION:
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First, find the unit rate for how much Amanda earn per hour

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That is your answer :)

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Step-by-step explanation:

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