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3 years ago

2/3(x-2)=-2how would I solve this

Mathematics

1 answer:

xeze [42]3 years ago

7 0

Answer:

x =(5/3)

Step-by-step explanation:

The given expression is $\frac{2}{3(x-2)} = -2$

Now to simplify it,

The first step is to cross multiply.

So, the expression becomes

$\frac{2}{(-2)} = 3(x-2)$

or, -1 = 3x - 6

⇒ 3x = -1 + 6

⇒ 3x = 5 , or x =(5/3)

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Answer:

3 divided by 1/2

Step-by-step explanation:

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3 years ago

Read 2 more answers

Which equation represents a line parallel to the y axis?

scoray [572]

B: x=4 hope this helped!!

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2 years ago

Does anyone know how to do this?

Elanso [62]

~Shoto Todoroki here~

Answer:

( n − 2 ) × 180

Step-by-step explanation:

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2 years ago

Write the equation of a line that passes through the points (−3, 7) and (3, 3)

Dennis_Churaev [7]

Step-by-step explanation:

You can write an equation of a line conveniently by point-slope form. It's in the form of $y -a = m(x -b)$ where $(b,a)$ is the coordinates of a point that's on the line and $m$ is the slope of the line.

Now choose a point (It doesn't really matter which one) and plug that in the equation. I'll choose $(-3,7)$ where $a = 7$ and $b = -3$

$y -a = m(x -b) \\ y -7 = m(x -(-3)) \\ y -7 = m(x +3)$

The next thing we have to do now is finding the slope, $m$ , where it's equal to $\frac{y_{2} -y_{1}}{x_{2} -x_{1}}\\$ . I'll make $(-3,7)$ point 1 and $(3,3)$ point 2.

$m = \frac{3 - 7}{3 -(-3)} \\ m = \frac{3 - 7}{3 +3} \\ m = \frac{-4}{6} \\ m = -\frac{2}{3}$

Now let's plug that to our equation.

$y -7 = m(x +3) \\ y -7 = -\frac{2}{3}(x +3)$

Now we have the equation but out of all the choices it seemed that all of them are in slope-intercept form all you have to do now is make our equation rewrite it in slope-intercept form.

$y -7 = -\frac{2}{3}(x +3)\\ y -7 = -\frac{2}{3}x -\frac{2}{3}(3) \\ y - 7 = -\frac{2}{3}x -2\\ y = -\frac{2}{3}x +5$