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umka2103 [35]
2 years ago
6

Directions:Use the power rule to simplify the following monomials.

Mathematics
1 answer:
Rom4ik [11]2 years ago
7 0

Step-by-step explanation:

Easy:)

7)4a^{8}b^{12} \\8)25x^{6}y^{8}\\9)x^{9}y^{9}×xy^{2}

=x^{10}y^{11}

10)a^{3}×a^{8}b^{4}

=a^{11}b^{4}

11)4a^{2}b^{4}×9a^{4}b^{2}

=36a^{6}b^{6}

Have a nice day! :)

-Vana

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Write an equation parallel to the line determined by the points (15, -6) and (-3, 13), through: (4, 2)
gulaghasi [49]

Answer:

The answer is

<h2>y =  -  \frac{19}{18} x +  \frac{76}{2}</h2>

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

That's

Slope of the through points

(15, -6) and (-3, 13) is

<h3>m =  \frac{13 -  - 6}{ - 3 - 15}  =  -  \frac{19}{18}</h3>

Since the lines are parallel their slope are also the same

So slope of parallel line = - 19/18

Equation of the line using point (4,2) and slope -19/18 is

<h3>y - 2 =  -  \frac{19}{18} (x - 4) \\ y - 2 =  -  \frac{19}{18}  x +  \frac{38}{9}  \\ y =  -  \frac{19}{18} x +  \frac{38}{9}  + 2</h3>

We have the final answer as

<h3>y =  -  \frac{19}{18} x +  \frac{76}{2}</h3>

Hope this helps you

7 0
3 years ago
Read 2 more answers
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Answer:

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Answer:

Her regular weekly pay is $62 and her annual salary is $3100.

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If she works 50 weeks each year, so her yearly pay = 62x50=$3100 /year.

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