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masha68 [24]
3 years ago
15

Simplify. Assume that no denominator is equal to zero. ([3^2]^3g^3h^4)^2

Mathematics
1 answer:
mariarad [96]3 years ago
7 0

Answer:

531,441·g^6·h^8

Step-by-step explanation:

The operative rule of exponents is ...

(a^b)^c = a^(b·c)

Working from the inside out, according to the order of operations, we get ...

= (9^3·g^3·h^4)^2

= 729^2·g^(3·2)·h^(4·2)

= 531,441·g^6·h^8

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Kyle’s bank statement shows a balance of –$18.50. Which describes the magnitude, or size, of the debt in dollars?
oksano4ka [1.4K]

Answer:

C. $18.50.

Step-by-step explanation:

We have been given that Kyle’s bank statement shows a balance of –$18.50. We are asked to determine the magnitude, or size, of the debt in dollars.

We know that the magnitude of a negative number is absolute value of negative number.

\text{Magnitude of debt in dollars}=|-\$18.50|

Since absolute value of a negative number is opposite of the number.

\text{Magnitude of debt in dollars}=-(-\$18.50)=\$18.50

Therefore, option C is the correct choice.

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3 years ago
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The line x+ 2y = 9 intersects the curve xy + 18 = 0 at the points A and B. Find the coordinates of A and B.
victus00 [196]
Subtracting the second equation by 18 on both sides, we have xy=-18. Next, we divide both sides by x to get y=-18/x  Plugging that into the first equation, we have x+2(-18/x)=9. Multiplying both sides by x, we get x^2-36=9x. After that, we subtract both sides by 9x to get x^2-9x-36=0. Finding 2 numbers that add up to -9 but multiply to -36, we do a bit of guess and check to find the answers to be -12 and 3. Factoring it, we get 
x^2-12x+3x-36=x(x-12)+3(x-12)=(x+3)(x-12). To find the x values, we have to find out when 0=(x+3)(x-12). This is simple as when you multiply 0 with anything, it is 0. Therefore, x=-3 and 12. Plugging those into x=-18/y, we get x=-18/y and by multiplying y to both sides, we get xy=-18 and then  we can divide both sides by x to get -18/x=y. Plugging -3 in, we get -18/-3=6 and by plugging 12 in we get -18/12=-1.5. Therefore, our points are (-3,6) and (12, -1.5)
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4 years ago
60 = 9x - 21 What is the solution to this equation plz hurry
madam [21]

Answer:

x=9

Step-by-step explanation:

hope this helps i think it's right 60=9x - 21 you add 21 to both sides and get 81 = 9x then divide 81 by 9 and get x=9

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3 years ago
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m_a_m_a [10]

Answer:

26,987.5

Step-by-step explanation:

hope it's helpful to you ☺️

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5

Step-by-step explanation:

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