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3 years ago

Which expression results from using the Distributive Property to rewrite -9.1 (−4) − 9.1 (12)?

Mathematics

1 answer:

swat323 years ago

6 0

For this case we have that by definition, distributive property is defined as:

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

We have the following expression:

$-9.1 (-4) -9.1 (12)$

Taking common factor -9.1 we have:

$-9.1 (-4 + 12)$

Thus, the correct option is option B.

Answer:

Option B

$-9.1 (-4 + 12)$

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If 3x - 2y=5 then, prove that<br>27x^3 - 8y^3 - 54x^2y + 36xy^2 = 125<br>

s2008m [1.1K]

Step-by-step explanation:

(3x-2y)³=5³

(3x)³-3(3x)².2y+3.3x.(2y)²-(2y)³=125

27x³-54x²y+36y²x-8y³=125

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4 years ago

Read 2 more answers

Can someone please help me find the side length area, and please draw the shape on how it would look if it were finished

Mumz [18]

The side length is 5 units, and the area is 25 square units

<h3>What are areas?</h3>

The area of a shape is the amount of space it occupies

<h3>What is the area of a square</h3>

The area of a square is the product of its dimensions

From the graph, the coordinates of the square can be assumed to be:

$A = (0,0)$

$B = (4,3)$

The side length of the square is then calculated using the following distance formula

$d = \sqrt{(x_2- x_1)^2 + (y_2 -y_1)^2}$

So, we have:

$AB = \sqrt{(0 - 4)^2 + (0-3)^2}$

$AB = \sqrt{25}$

$AB = 5$

The area of the square is the calculated as:

$Area = AB^2$

This gives

$Area = 5^2$

$Area = 25$

Hence, the side length is 5 units, and the area is 25 square units

See attachment for the diagram of the shape

Read more about areas at:

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3 years ago

a building in san francisco is shaped like a square pyramid it has a slant height og 856.1 feet and each side of its base is 145

Reptile [31]

We know that

for <span>a Square Pyramid
</span>[lateral area]=4*[a*s/2]--------> 2aS
where
a is the length side of the square base
S is the <span>slant height
</span>a=145 ft
S=856.1 ft
[lateral area]=2*145*856.1---------> 248269 ft²

the answer is 248269 ft²

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3 years ago

In AHIJ, the measure of ZJ=90°, the measure of ZH=15°, and JH = 54 feet. Find the

daser333 [38]

Answer:

Step-by-step explanation:

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3 years ago

Under her cell phone plan, Nayeli pays a flat cost of $41.50 per month and $5 per gigabyte. She wants to keep her bill under $50

Cerrena [4.2K]

The inequality which can be used to determine the number of gigabytes is 41.5 + 5x < 50 and the solution is x < 1.7

<h3>How to write and solve an equation which can be used to determine the number of gigabytes?</h3>

The given parameters are

Flat cost = $41.50

Rate = $5 per gigabyte

Budget = Under $50

The equation is represented as:

Total cost = Flat cost + Rate * Number of gigabyte

So, we have

y = 41.5 + 5x

The budget is under 50

So, we have

41.5 + 5x < 50

Subtract 41.5 from both sides

5x < 8.5

Divide by 5

x < 1.7

Hence. the inequality which can be used to determine the number of gigabytes is 41.5 + 5x < 50 and the solution is x < 1.7

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2 years ago