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3 years ago

Quickly help me! This isn't live or anything, I just don't want to wait an hour.

Mathematics

1 answer:

leva [86]3 years ago

4 0

Answer:

1/12

Step-by-step explanation:

When you add or subtract fractions, you need a common denominator.

Let's use the least common denominator of 12, 6, and 3.

Since 12 is a multiple of 6 and 3, the LCD is 12.

7/12 - 1/6 - 1/3 = 7/12 - 2/12 - 4/12 = 5/12 - 4/12 = 1/12

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3 years ago

16. Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.

il63 [147K]

Answer:

Given equation are:

$y = -\frac{1}{4}x+8$ ......[1]

$-2x+8y = 4$ .....[2]

The two lines are parallel lines then their slopes will be equal.

When two lines are perpendicular then, the slope of lines are the negative reciprocals of each other.

Now, Equation of a line is in the form of y =mx+b where m is the slope of the line.

Slope $(m_1)$ of equation of line in [1] is;

$y = -\frac{1}{4}x+8$

then;

$m_1= -\frac{1}{4}$

Slope $(m_2)$ of equation of line in [2];

$-2x+8y = 4$

Add both sides 2x we get;

-2x + 8y + 2x = 2x + 4

Simplify:

8y = 2x +4

Divide both sides by 8 we get;

$y = \frac{1}{4} x + \frac{1}{2}$

then;

$m_2 = \frac{1}{4}$

Therefore, the given two lines are neither parallel nor perpendicular.

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3 years ago