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Ainat [17]
3 years ago
8

Can someone help me with this​

Mathematics
1 answer:
algol [13]3 years ago
7 0

Answer:

Step-by-step explanation:

(x+6)(x+3)=9+(x+1)

= x^2+3x+6x+18

=x^2+9x+18=9(x+1)

=x^2+9x+18=9x+9

tbs = to both sides

(-9x tbs)= 9x-9x=0 so x^2+18=9

(-18tbs) = x^2=9-18 becomes x^2=-9

x=\sqrt{-9}

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What is the equation of the line that passes through the point (6,14) and is parallel to the line with the following equation? y
Gekata [30.6K]

Answer:

y=\displaystyle-\frac{4}{3}x+22

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form: y=mx+b where <em>m</em> is the slope and <em>b</em> is the y-intercept
  • Parallel lines always have the same slope (<em>m</em>)

<u>Determine the slope (</u><em><u>m</u></em><u>):</u>

<u />y=\displaystyle-\frac{4}{3}x -1<u />

The slope of the given line is \displaystyle-\frac{4}{3}, since it is in the place of <em>m</em> in y=mx+b. Because parallel lines always have the same slope, the slope of a parallel line would also be \displaystyle-\frac{4}{3}. Plug this into y=mx+b:

y=\displaystyle-\frac{4}{3}x+b

<u>Determine the y-intercept (</u><em><u>b</u></em><u>):</u>

y=\displaystyle-\frac{4}{3}x+b

To find the y-intercept, plug in the given point (6,14) and solve for <em>b</em>:

14=\displaystyle-\frac{4}{3}(6)+b\\\\14=-8+b\\b=22

Therefore, the y-intercept of the line is 22. Plug this back into y=\displaystyle-\frac{4}{3}x+b:

y=\displaystyle-\frac{4}{3}x+22

I hope this helps!

5 0
3 years ago
If 39 is 10% of an number what is the number? How did you find your answer?
Furkat [3]

Answer:

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Step-by-step explanation:

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390 = 100%

7 0
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Answer:

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Step-by-step explanation:

6 0
3 years ago
if you earn a 9% commission on all sales and you sell $4500 worth of merchandise, how much will you earn before taxes?
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Amount would be: 4500 * 9%
= 4500 * 0.09   [ 9% = 0.09 ]
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In short, Your Answer would be: $405

Hope this helps!
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