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3 years ago

What is the value of r in this equation? 4(x-3)-r+2x=5(3x-7)-9x

Mathematics

1 answer:

Tomtit [17]3 years ago

5 0

4(x-3)-2+2x=5(3x-7)-9x

4x-12-r+2x=5(3x-7)-9

4x-12-r+2x=15x-35-9x

6x-12-r=15x-35-9x

6x-12-r=6x-35

add 12 to -35 which equals -23.

add 6x+6x it cancels out to 0.

-r=-23

to make r positive just add it -23

since 23 is already negative it would become a positive because a negative + negative= positive

answer: r=23

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sladkih [1.3K]

Hey there!!

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Then, the second number would be ' x + 1 '

Sum of these = 183

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$x + x + 1 = 183$

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$x = \frac{182}{2}$

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3 years ago

The function h(x) is a transformation of the square root parent function,

kondaur [170]

Answer:

A. $h(x)=\sqrt{x-3}$

Step-by-step explanation:

<h3>Step 1: Definition</h3>

The parent function of $\sqrt{x}$ is translated to the left when $h$ is positive in the transformation $\sqrt{x+h}$ .

If $h$ is negative, the graph translates towards the left with the distance equal to the value of $h$ .

<h3>Step 2: Implementation</h3>

Here the graph moved 3 units towards the right. This means that $h$ is negative and has the value of 3.

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2 years ago

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)

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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.

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2 years ago

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3 years ago

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zhenek [66]

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I hope that helped! :>

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3 years ago

Read 2 more answers