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3 years ago

Which of the following expressions represents "the sum of n and the sum of 8 and 6"?

Mathematics

2 answers:

inessss [21]3 years ago

7 0

The sum of 8 and 6 is 8 + 6
The sum of n and the sum of 8 and 6 is n + (8 + 6)

So the answer is B

Goshia [24]3 years ago

4 0

Answer:

From the given expressions, n+ ( 8 + 6 ) is the correct expression to express the phrase "the sum of n and the sum of 8 and 6"

Step-by-step explanation:

We can express a phrases into mathematical expression by using basic operations.

We are given a phrase "the sum of n and the sum of 8 and 6".

We write it mathematically using operations.

the phrase "Sum of 8 and 6" is represented mathematically as 8 + 6

again , the phrases " sum of n and ( 8 + 6 ) can be represented as n+ ( 8 + 6 )

Thus, from the given expressions, n+ ( 8 + 6 ) is the correct expression to express the phrase "the sum of n and the sum of 8 and 6"

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Find the obtuse angle between the following pair of straight lines.

ioda

Given:

$y=-2$

$y=\sqrt{3}x-1$

To find:

The obtuse angle between the given pair of straight lines.

Solution:

The slope intercept form of a line is

$y=mx+b$ ...(i)

where, m is slope and b is y-intercept.

The given equations are

$y=0x-2$

$y=\sqrt{3}x-1$

On comparing these equations with (i), we get

$m_1=0$

$m_2=\sqrt{3}$

Angle between two lines whose slopes are $m_1\text{ and }m_2$ is

$\tan \theta=\left|\dfrac{m_2-m_1}{1+m_1m_2}\right|$

Putting $m_1=0$ and $m_2=\sqrt{3}$ , we get

$\tan \theta=\left|\dfrac{\sqrt{3}-0}{1+(0)(\sqrt{3})}\right|$

$\tan \theta=\left|\dfrac{\sqrt{3}}{1+0}\right|$

$\tan \theta=\pm \sqrt{3}$

Now,

$\tan \theta= \sqrt{3}$ and $\tan \theta=-\sqrt{3}$

$\tan \theta= \tan 60^\circ$ and $\tan \theta=\tan (180^\circ-60^\circ)$

$\theta= 60^\circ$ and $\theta=120^\circ$

$120>90$ , so it is an obtuse angle and $60$ , so it is an acute angle.

Therefore, the obtuse angle between the given pair of straight lines is 120°.

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2 years ago

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Answer:

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Step-by-step explanation:

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solve for x

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