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3 years ago

What is the cube root of -1,000p^12q^3? a)-10p^4 b)-10p^4q c)10p^4 d)10p^4q

2 answers:

8 0

$\bf \sqrt[3]{-1000p^{12}q^3}\qquad 
\begin{cases}
-1000=-10\cdot -10\cdot -10\\
\qquad\qquad (-10)^3\\
p^{12}=p^{4\cdot 3}\\
\qquad (p^4)^3
\end{cases}
\\\\\\
\sqrt[3]{(-10)^3(p^4)^3q^3}\implies (-10)(p^4)q^3\implies \boxed{-10p^4q^3}$

Marat540 [252]3 years ago

8 0

Its actually -10p^4q or b.

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brilliants [131]

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3 years ago

How can addition properties help me add whole numbers

Bas_tet [7]

Answer:

There are four addition properties that help to add whole numbers :

For any whole number a, b, and c ;

1. Closure property of addition - $a+b$

For example:

2+3=5

4+3=7

We can conclude that if we add any two whole number , we get another whole number.

2. Associative property of addition- when any whole number or variable are added, then that can be grouped in different way without changing result

$a+(b+c)=(a+b)+c$

For example:

2+(3+4)=(2+3)+4

3. Commutative property of addition- when any whole number or variable are added, then the order changed without changing the result.

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For example: 2+3=3+2

4. Identity property of addition- when 0 is added to a whole number or variable , the result is the same variable or number.

$a+0=0+a$

For example: 3+0=0+3

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2 years ago

Draw and classify the polygon with the given vertices. Find the perimeter and the area of the polygon. A(-2,3), B(2,3), C(4,-1),

leva [86]

Answer:

Trapezoid

21 is the perimeter.

24 is the area.

Step-by-step explanation:

Let's do the perimeter first, 8 + 4 = 12.

Now we have to get the side lengths. We can do this by using the Pythagoras Theorem by making an imaginary line to form a right triangle. The lengths are 2 and 4. So, 4 + 16 = 20. Square root of 20 + square root of 20 = ~9

12 + 9 = 21

21 is the perimeter.

Now, let's solve the area. The a is 4, b is 8. So 4 + 8 = 12/2 = 6. The height is 4 so 6 * 4 = 24.

24 is the area.

Hope this helped ya