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3 years ago

Drag each equation to show if it could be a correct first step to solving the equation 2(x+7) =36

Mathematics

1 answer:

frutty [35]3 years ago

6 0

Answer:

(2.x) + (2.7) = 36

Step-by-step explanation:

Solving the given equation with the distributive property,

A(B + C) = (A.B) + (A.C)

So that,

2(x+7) = 36

(2.x) + (2.7) = 36

2x + 14 = 36

2x = 36 - 14

2x = 22

x = 11

From the given expressions, the option that is the correct first step to solving this equation is;

(2.x) + (2.7) = 36

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What is the equation of the line that is parallel to the line x = -2 and passes through the point (5.4)?

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Lines parallel to each others only occur when two slopes of equations are same. The definition of parallel lines is:

$\large \boxed{m_1 = m_2}$

We are given the equation of a line which is x = -2. For x = a, the equation forms a verical line and has an undefined slope. These below are basic that you may need to learn when learning about the line graph:

y = a —> horizontal line; slope is 0.
x = a —> vertical line; slope is undefined.
For y = a, any a-values would have same x-values. For example, if we are given y = 2 then any domains or x-values can have the range of 2.
For x = a, any a-values would have same y-values or range.

Back to the question. We want to find the equation of a line that is parallel to the line x = -2 and passes through (5,4) point. Recall the definition of parallel line that both slopes of equations must equal. Since x = a for any a-values would give an undefined slope. That means our parallel would be x = b.

Because the line passes through (5,4) - for any a-values from x = a would give out the set of all real numbers for range. Therefore the equation of a line is x = 5.

Answer

The equation of a line that is parallel to x = -2 and passes through (5,4) is x = 5.

I hope this helps! If you have any doubts or questions, don't hestitate to ask in comment! Good luck on your assignment and have a great day!

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