Mathematics: 60 POINTS AND Select the correct answer from the drop-down menu. The value from the set {10, 11, 12, 13} that makes the equation 2(x − 5) = 12 true is (blank).

60 POINTS AND Select the correct answer from the

Llamacornbabe

17.03.2022

Step-by-step explanation:

Multiply the parenthesis

2*x = 2x

2*5 = 10

2x-10 = 12

Because we subtract 10 to get 12, we add 10 to see the 2x

12+10 = 22

Now 2x = 22

2x=22

2x / 2 = 22 / 2

x=11

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theirishgold42

02.02.2020

Yes, he is correct because both the lines have same slope.

Step-by-step explanation:

Given:

The two equations are:

$-2x+6y=-42\\y+10=\frac{1}{3}(x-3)$

Two lines are parallel only if their slopes are equal.

So, let us write each equation in slope-intercept form y=mx + b , where, is the slope of the line.

Equation 1 is:

$-2x+6y=-42\\6y=2x-42\\y=\frac{2}{6}x-\frac{42}{6}\\y=\frac{1}{3}x-7$

So, the slope of line 1 is $m_{1}=\frac{1}{3}$

Now, equation 2 is:

$y+10=\frac{1}{3}(x-3)\\y+10=\frac{1}{3}x-3\times \frac{1}{3}\\y+10=\frac{1}{3}x-1\\y=\frac{1}{3}x-1-10\\y=\frac{1}{3}x-11$

Therefore, slope of line 2 is, $m_{2}=\frac{1}{3}$

∵ $m_{1}=m_{2}=\frac{1}{3}$

Therefore, both the lines are parallel to each other.

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