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pav-90 [236]
3 years ago
7

need help finding the definition of power of a product property, power to a power property, and power of a quotient property.

Mathematics
1 answer:
postnew [5]3 years ago
8 0
The Power of a Product property tells us that when you multiply two numbers with the same base, you can add their exponents to determine the product.
For example, x^{a} * x^{b} = x^{a+b}.

The Power of a Quotient Property tells us that when you divide two numbers with the same base, you can subtract their exponents to determine the quotient.
For example, x^{a}/x^{b} = x^{a-b}

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write the equation of the line that is parallel to the line y=-5/3x-2 and goes throught the point (-3,1)
max2010maxim [7]

Answer:

y = (-5/3)x - 4

Explanation:

The equation of a line with slope m that goes through the point (x1, y1) is:

y-y_1=m(x-x_1)_{}

Additionally, two lines are parallel if they have the same slope.

The slope of the line y = (-5/3)x - 2 is (-5/3) because it is the number beside x.

So, the slope of our line is also -5/3.

Therefore, replacing m by -5/3 and (x1, y1) by (-3, 1), we get that the equation of the line is:

\begin{gathered} y-1=-\frac{5}{3}(x-(-3)) \\ y-1=-\frac{5}{3}(x+3) \end{gathered}

Finally, solving for y, we get:

\begin{gathered} y-1=-\frac{5}{3}x-(\frac{5}{3}\cdot3) \\ y-1=-\frac{5}{3}x-5 \\ y=-\frac{5}{3}x-5+1 \\ y=-\frac{5}{3}x-4 \end{gathered}

So, the answer is:

y = (-5/3)x - 4

4 0
1 year ago
A rectangle is 12m longer than it is wide. Its perimeter is 68m. Find its length and width?
Juliette [100K]
The width is 11m and the length is 23m
5 0
3 years ago
Luis bought two pieces of wax to make candles. One piece weighed 3.49 kg, and the other weighed 4.71 kg. If wax costs $1.80 per
EleoNora [17]

(3.49+4.71)1.80=cost

(8.2)1.80=cost

14.76=cost

Luis spends $14.76 all together  


8 0
3 years ago
Please explain step by step worth 20 points
ankoles [38]
Multipy $275 by the 4.5%
4.5%=.045 (just move the decimal 2 places left)
275*.045= 12.375  Susan gets $12.375 a year (don't round yet)
Multiply $12.375 by 5years          12.375*5= 61.875 (now round)
$61.90=B
I hope this helps! :)

5 0
3 years ago
How do you compare y-intercepts and rates of change
Sphinxa [80]
Not really sure what you mean by compare. The only thing I can think of is the y intercept is generally a good point to start from to count the rise/run
5 0
3 years ago
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