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3 years ago

Simplify (3xy2)(4xy)(2xy)3.

Mathematics

2 answers:

Scilla [17]3 years ago

3 0

<span>(3xy</span>²<span>)(4xy)(2xy)</span>³ = (12x²y³)(8x³y³) = 96x⁵y⁶

frez [133]3 years ago

3 0

Answer:

$(3xy^2)(4xy)(2xy)^3==96x^5y^6$

Step-by-step explanation:

Given : Expression $(3xy^2)(4xy)(2xy)^3$

To find : Simplify the expression?

Solution :

Step 1 - Write the expression

$(3xy^2)(4xy)(2xy)^3$

Step 2 - Opening the cube,

$=(3xy^2)(4xy)(8x^3y^3)$

Step 3 - Open the first two parenthesis,

$=(12x^2y^3)(8x^3y^3)$

Step 4 - Open the parenthesis,

$=96x^5y^6$

Therefore, The solution of the expression is $(3xy^2)(4xy)(2xy)^3==96x^5y^6$

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I need help with this last question.

blondinia [14]

Answer:

Step-by-step explanation:

length=1 m

base of triangle=10 m

height=5m

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slant surface area=2[5√2×1]=10√2

area of front and back=2×1/2(10×5)=50

total surface area=50+10√2≈50+14.14≈64.14 m²

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3 years ago

Here is an equilateral triangle. The length of each side is units. A height is drawn. In an equilateral triangle, a line drawn f

Temka [501]

1. Height of the equilateral triangle is: √3 units

2. Area of the equilateral triangle = √3 units²

3. Area = √3/4 x², when each side is x.

<h3>What is an Equilateral Triangle?</h3>

A triangle that has all its three sides equal in length, is referred to as an equilateral triangle.

1. Given the each side measures 2 units, and h is the height, applying the Pythagorean theorem, we would have:

h = √(2² - 1²)

h = √(4 - 1)

h = √3

2. Area of the equilateral triangle = 1/2bh = 1/2(2)(√3)

Area of the equilateral triangle = √3 units²

3. If x is the side length of the equilateral triangle, we would have:

height (h) = √[x² - (x/2)²] = √[x² - x²/4] = √(3x²/4) = √3/2x

Area = 1/2bh = 1/2(x)(√3/2x) = √3/4 x²

Learn more about equilateral triangle on:

brainly.com/question/15294703

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2 years ago

What are some uses for the distance formula?

lbvjy [14]

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3 years ago

Is how tall the empire state building a statistical question

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Answer:

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2 years ago

Read 2 more answers

Which of the following is a valid comparison between the possible minimum and maximum values of the function y = -x2 + 4x - 8 an

Arturiano [62]

Answer:

The maximum value of the equation is 1 less than the maximum value of the graph

Step-by-step explanation:

We have the equation $y=-x^2+4x-8$ .

We can know that this graph will have a maximum value as this is a negative parabola.

In order to find the maximum value, we can use the equation $x=\frac{-b}{2a}$

In our given equation:

a=-1

b=4

c=-8

Now we can plug in these values to the equation

$x=\frac{-4}{-2} \\\\x=2$

Now we can plug the x value where the maximum occurs to find the max value of the equation

$y=-(2)^2+4(2)-8\\\\y=-4+8-8\\\\y=-4$

This means that the maximum of this equation is -4.

The maximum of the graph is shown to be -3

This means that the maximum value of the equation is 1 less than the maximum value of the graph

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3 years ago