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nasty-shy [4]
3 years ago
13

A^3b^2 divided by a^-1b^-3

Mathematics
1 answer:
Naya [18.7K]3 years ago
3 0

Answer:

\frac{a^3 b^2}{\frac{1}{a} \frac{1}{b^3}}

And simplifying we got:

a^3 b^2 a b^3

a^3 a b^2 b^3 = a^{3+1} b^{2+3} = a^4 b^5

Step-by-step explanation:

We want to simplify the following expression:

\frac{a^3 b^2}{a^{-1} b^{-3}}

And we can rewrite this expression using this property for any number a:

a^{-1}= \frac{1}{a}

And using this property we have:

\frac{a^3 b^2}{\frac{1}{a} \frac{1}{b^3}}

And simplifying we got:

a^3 b^2 a b^3

a^3 a b^2 b^3 = a^{3+1} b^{2+3} = a^4 b^5

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svetlana [45]

<em>Answer:</em>

<em>Step-by-step explanation:</em>

<h2><u><em>21u²</em></u></h2>

The formula for the area of a parallelogram is base times height

so

x = 7 (base)

y = 5

h = 3 (height)

7 * 3 =

21u²

4 0
2 years ago
Find the slope of (3,-1) and (1,5) <br> also find the slope of (-4, -5) and (-2, -5)
nikklg [1K]

Answer:

1.-3

2.0

Step-by-step explanation:

5-(-1)/1-3

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-5-(-5)/-2-(-4)

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0

3 0
3 years ago
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JN is ? between angle J and angle <br>K
crimeas [40]
Verify please dont understand
7 0
3 years ago
Through:(-1, -2), slope = 5
kherson [118]

Answer:

y=5x+3

Step-by-step explanation:

Hi there!

We're given the point (-1, -2) and a slope of 5. We need to find the equation of the line in slope intercept form.

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

Since we're already given the slope, we can substitute that immediately into the equation

here it is so far:

y=5x+b

now we need to solve for b

Since the line will pass through the point (-1,-2), we can use it to solve for b

substitute -1 as x and -2 as y into the equation

-2=5(-1)+b

multiply

-2=-5+b

add 5 to both sides

3=b

substitute that into the equation

therefore, the equation of the line is <u>y=5x+3</u>

Hope this helps! :)

6 0
3 years ago
Which represents the inverse of the function f(x) = 4x?
Licemer1 [7]

Answer:

The inverse is 1/4x

Step-by-step explanation:

y = 4x

To find the inverse, exchange x and y

x = 4y

Solve for y

1/4 x = 4y/4

1/4x = y

The inverse is 1/4x = y

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3 years ago
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