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Mnenie [13.5K]
3 years ago
8

What is 12 divded by 2 plus 4 minus 2 multiplied by 3

Mathematics
2 answers:
ycow [4]3 years ago
8 0

Answer:

4

Step-by-step explanation:

12 ÷ 2 + 4 - 2 × 3

Use order of operations to evaluate.

6 + 4 - 6

10 - 6

= 4

alexira [117]3 years ago
3 0

Answer:

the answer for the question is 4

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The equations of three lines are given below. Line 1: y = - 3/4 x + 3 Line 2/8 x - 6y = 2 Line 3/- 3y = 4x + 7 For each pair of
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Answer:

No parallel lines

Lines 1 and 3 are perpendicular

Step-by-step explanation:

Given:

Line\ 1:y = -\frac{3}{4}x + 3

Line\ 2: \frac{2}{8}x -6y = 2

Line\ 3: 3y = 4x + 7

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The slope intercept of a line has the form:

y = mx + b

Where

m = slope

First, we calculate the slope of each lines

Line\ 1:y = -\frac{3}{4}x + 3

Compare the above to y = mx + b

m_1 = -\frac{3}{4}

Line\ 2: \frac{2}{8}x -6y = 2

\frac{2}{8}x -6y = 2

Make -6y the subject

-6y = 2 - \frac{2}{8}x

Divide through by -6

y = -\frac{2}{6} + \frac{2}{8*6}x

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y = -\frac{1}{3} + \frac{1}{24}x

y = \frac{1}{24}x-\frac{1}{3}

Compare the above to y = mx + b

m_2 = \frac{1}{24}

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3y = 4x + 7

Divide through by 3

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Compare the above to y = mx + b

m_3 = \frac{4}{3}

So, we have:

m_1 = -\frac{3}{4}

m_2 = \frac{1}{24}

m_3 = \frac{4}{3}

None of the slopes are the same, so none of the lines are parallel.

However, lines 1 and 3 are perpendicular.

This is shown below

When the slope of two lines satisfy the following condition, then they are  perpendicular.

m_1 = -\frac{1}{m_3}

This gives:

-\frac{3}{4} = -\frac{1}{4/3}

-\frac{3}{4} = -1/\frac{4}{3}

Convert / to *

-\frac{3}{4} = -1*\frac{3}{4}

-\frac{3}{4} = -\frac{3}{4}

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