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anzhelika [568]
3 years ago
10

Apply the distributive property to create an equivalent expression. −9⋅(5j+k)=

Mathematics
2 answers:
Grace [21]2 years ago
8 0

Answer:

-45j-9k.

Step-by-step explanation:

The given expression is

-9\cdot (5j+k)

We need to find the equivalent expression of given expression.

According to the distributive property,

a(b+c)=ab+ac

Using distributive property the given expression can be rewritten as

-9\cdot (5j)-9\cdot (k)

-45j-9k

Therefore, the required expression is -45j-9k.

Iteru [2.4K]2 years ago
3 0

Multiply the number outside the parenthesis by each term inside the parenthesis:

-9 * 5j = -45j

-9 *k = -9k

−9⋅(5j+k) = -45j - 9k

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Ainat [17]
A^-b is the same as 1/a^b.

When there is a negative power, place the number and power over 1.

a^b/a^c = a^(b-c).

c is a negative power, because it is being divided, and is underneath b, which is a positive (and so it stays in the numerator).

a^c/b^c = (a/b)^c

Inside this one, the power of c is distributed to all numbers inside the parenthesis, in this case a and b.


hope this helps
3 0
3 years ago
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(10 +13)2 + 7y)<br> Which expression is equivalent to the expression above?
Aleks [24]
(2+7y)+13+10 is the answer
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Step-by-step explanation:

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2 years ago
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A company is designing a new cylindrical water bottle. The volume of the bottle will be 205 cm to the square root of 3 cm. The h
Umnica [9.8K]

Answer:

19 cm

Step-by-step explanation:

Given :

Volume, V = 205 to the √3 = 205^√3

Height, h = 8.9

radius, r

Volume of cylinder:

V = πr²h

205 to the square root of 3 10094.275

company is designing a new cylindrical water bottle. The volume of the bottle will be 205 cm to the square root of 3 cm. The height of the water bottle is 8.9 cm. What is the radius of the water​ bottle?

10094.275 = π * r² * 8.9

10094.275 = 3.14 * 8.9 * r²

10094.275 = 27.946r²

r² = 10094.275 / 27.946

r² = 361.20643

r = √361.20643

r = 19 cm

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3 years ago
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Step-by-step explanation:

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