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3 years ago

8

Simply: 2 (x+8)+6x Thanks

1 answer:

Y_Kistochka [10]3 years ago

6 0

Distribute and simplify.

2(x+8)+6x
2x+16+6x
8x+16
8(x+2)

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According to the sequence of numbers, find the exponential function.

Vikki [24]

The answer to this is 3

4 0

3 years ago

What is the equation of the line that passes through (-2,3) and is parallel to 2x+3y=6?

Vsevolod [243]

Answer:

<h2>2x + 3y = 5</h2>

Step-by-step explanation:

$\bold{METHOD\ 1:}$

The slope-intercept form of an equation of a line:

$y=mx+b$

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

Let $k:y=m_1x+b_1,\ l:y=m_2x+b_2$

then

$l\ \parallel\ k\iff m_1=m_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}$

We have the equation of a line:

$2x+3y=6$

Convert to the slope-intercept form:

$2x+3y=6$ <em>subtract 2x from both sides</em>

$3y=-2x+6$ <em>divide both sides by 3</em>

$y=-\dfrac{2}{3}x+2\to m_1=-\dfrac{2}{3}$

therefore the slope is $m_2=-\dfrac{2}{3}$

Put the value of the slope and the coordinates of the point (-2, 3) to the equation of a line:

$3=-\dfrac{2}{3}(-2)+b$

$3=\dfrac{4}{3}+b$ <em>subtract 4/3 from both sides</em>

$\dfrac{9}{3}-\dfrac{4}{3}=b\to b=\dfrac{5}{3}$

Finally:

$y=-\dfrac{2}{3}x+\dfrac{5}{3}$

Convert to the standard form (Ax + By = C):

$y=-\dfrac{2}{3}x+\dfrac{5}{3}$ <em>multiply both sides by 3</em>

$3y=-2x+5$ <em>add 2x to both sides</em>

$2x+3y=5$

$\bold{METHOD\ 2:}$

Let $k:A_1x+B_1y=C_1,\ l:A_2x+B_2y=C_2$ .

Lines <em>k</em> and <em>l</em> are parallel iff

$A_1=A_2\ \wedge\ B_1=B_2\to\dfrac{A_2}{A_1}=\dfrac{B_2}{B_1}$

We have the equation:

$2x+3y=6\to A_1=2,\ B_1=3$

then the equation of a line parallel to given lines has the equation:

$2x+3y=C$

Put the coordinates of the point (-2, 3) to the equation:

$C=2(-2)+3(3)\\\\C=-4+9\\\\C=5$

Finally:

$2x+3y=5$

4 0

3 years ago

Mrs. Yin bought 0.81 of a pound of turkey and 0.69 of a pound of chicken. Did Mrs. Yin buy more turkey or more chicken? Show how

S_A_V [24]

Mrs. Yin bought more turkey than chicken. I know because 0.80 is greater than 0.69

5 0

3 years ago

Please help me I am stuck with this? Please explain how your step by step to solve this problem.

stepladder [879]

9x^2(2x^2 + 3x -4) / 9x^2

= 2x^2 + 3x -4

The answer is A. Hope this helps!

8 0

3 years ago

Read 2 more answers

Find the value of y<br>if <br><img src="https://tex.z-dn.net/?f=%7By%7D%5E%7B2%7D%20%20%3D%20169" id="TexFormula1" title="{y}^{2

Fiesta28 [93]

There you go hope this helps

4 0

3 years ago