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Sidana [21]
3 years ago
9

Which expression is equivalent to 2 + 3(x - 6)?

Mathematics
1 answer:
EastWind [94]3 years ago
8 0

Answer:

C)  2 + 3 x - 18

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given expression  2+ 3(x-6)

                 ⇒  2 + 3 x - 18

               ⇒    3 x - 16

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(\stackrel{x_1}{-3}~,~\stackrel{y_1}{-7})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{11}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{11}-\stackrel{y1}{(-7)}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-3)}}}\implies \cfrac{11+7}{3+3}\implies \cfrac{18}{6}\implies 3

\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-7)}=\stackrel{m}{3}(x-\stackrel{x_1}{(-3)}) \\\\\\ y+7=3(x+3)\implies y+7=3x+9\implies y = 3x+2

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Step-by-step explanation:

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What is the distance between the points (4, 7) <br> and (4, -5)
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A first number is nine less than a second. The sum of the numbers is 45. Find the numbers.
oee [108]

Answer:

The first number is <u>18</u> and the second number is <u>27</u>.

Step-by-step explanation:

Given:

A first number is nine less than a second.

The sum of the numbers is 45.

Now, to find the numbers.

Let the second number be x.

And the first number be x-9.

The sum of the both numbers is 45.

According to question:

(x-9)+x=45.

⇒ x-9+x=45.

⇒ 2x-9=45.

<em>Adding both sides by 9 we get:</em>

⇒ 2x=54.

<em>Dividing both sides by 2 we get:</em>

⇒ x=27.

<u><em>The second number = 27</em></u>.

Now, to get the first number we put the value of x:

x-9

=27-9

=18.

Therefore, the first number is 18 and the second number is 27.

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3 years ago
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