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Brut [27]
3 years ago
7

Simplify (x^-2(y^4))^3/x^3y^4. please help!! ill give brainiliest, algebra 2, 25 points

Mathematics
1 answer:
AleksAgata [21]3 years ago
7 0

Answer: y^16/x^9

Step-by-step explanation:

 (x^-2(y^4))^3/x^3y^4


(x^-2y^4)^3/x^3 * y^4

x^-6y^12/x^3 * y^4


y^12/x^9 * y^4

y^16/x^9

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Pythagorean theorem!!! If c=7.4 and a=3.6 then is my answer b^2=sqrt 41.8 or just b=sqrt 41.8
Gre4nikov [31]

Answer:

Step-by-step explanation:

a² + b² = c²

3.6² + b² = 7.4²

b² = 7.4² - 3.6² = 41.8

b = √41.8

4 0
3 years ago
what is the exact circumference of the base of a cone that has a volume of 1014 pi in^3 and a height of 18 in.
Evgen [1.6K]
\bf \textit{volume of a cone}\\\\
V=\cfrac{\pi r^2 h}{3}\quad 
\begin{cases}
r=radius\\
h=height\\
-----\\
V=1014\pi \\
h=18
\end{cases}\implies 1041\pi =\cfrac{\pi \cdot r^2\cdot 18}{3}
\\\\\\
1041\pi =6\pi r^2\implies \cfrac{1041\pi }{6\pi }=r^2\implies \cfrac{347}{2}=r^2\implies \boxed{\sqrt{\cfrac{347}{2}}=r}\\\\
-------------------------------\\\\
\textit{circumference of a }\stackrel{cone's}{circle}\\\\
C=2\pi r\qquad \qquad C=2\pi \left( \boxed{\sqrt{\cfrac{347}{2}}} \right)
8 0
3 years ago
Line K has the equation y=5x-4.
Marat540 [252]
<h3>Answer:    y = 5x+3</h3>

Explanation:

Parallel lines always have equal slopes, but different y intercepts.

Line K has a slope of 5, which means line L also has this slope too. Refer to the y = mx+b form.

Plug in the coordinates of (-2,-7) as well as the slope mentioned and solve for b.

y = mx+b

-7 = 5(-2) + b

-7 = -10+b

-7+10 = b

3 = b

b = 3

The y = mx+b updates to the final answer of y = 5x+3

5 0
3 years ago
Which explains how to determine 40% of 50?
valkas [14]
Multiply 50 by .4 or .40. Both give the same answer, which is 20.
8 0
3 years ago
One brother says of his younger brother: “Two years ago, I was three times as old as my brother was. In three years’ time, I wil
aleksklad [387]

Answer:

17

Step-by-step explanation:

Let us suppose two years ago my brother's age was x years

Then, my age was 3x

Three years from now, my brother's age will be (x +2+3) = (x+5) years

And my age will be (3x+2+3) = (3x+5) years

But it is given that i will be twice as old as my brother.

So, 2(x+5)= (3x+5)

or, x= 5 years

So my brother's present age is 5+2= 7 years

And my age is 5*3+2= 17 years

5 0
3 years ago
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