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3 years ago

Simplify the expression. 2(3y - 7) - 5y(2 - y)

Mathematics

2 answers:

never [62]3 years ago

8 0

Answer: The required simplified form of the given expression is $5y^2-4y-14.$

Step-by-step explanation: We are given to simplify the following expression :

$E=2(3y-7)-5y(2-y).$

To simplify the given expression, we need to evaluate the bracket first.

The simplification is as follows :

$E\\\\=2(3y-7)-5y(2-y)\\\\=6y-14-10y+5y^2\\\\=5y^2-4y-14.$

Thus, the required simplified form of the given expression is $5y^2-4y-14.$

meriva3 years ago

5 0

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Quadrilateral A'B'C'D' is the image of quadrilateral ABC D under a dilation with a scale factor of 4. c What is the length of se

DENIUS [597]

a dilation with a scale factor of 4, is multiplication by 4 each side, so we need the measure of the side CD and then multiply by 4 to find C'D'

we can notice tht length of CD, is 3 squares,multiplying by 4 the new length is 3x4= 1 2 squares

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1 year ago

a rectangular prism has a volume of 810 cubic meters. it has a length of 10 meters and a width of 9 meters. What is the height o

Ainat [17]

Answer:

The height of the prism is 9 meters

Step-by-step explanation:

* Lets describe the rectangular prism

- The rectangular prism has six rectangular faces

- Two of them are bases and the other four are side faces

- The rectangular prism has three dimensions length, width , height

- The volume of any prism = Area of the base × its height

∵ The base of the rectangular prism is a rectangle

∵ Area any rectangle = length × width

∴ The volume of the rectangular prism V = length × width × height

* Lets solve the problem

∵ The volume of the prism is 810 meter³

∵ Its length is 10 meter

∵ Its width is 9 meters

∵ V = length × width × height

- Substitute the values of the volume , the length and the width in

the equation of V

∴ 810 = 10 × 9 × h

∴ 810 = 90 × h

- Divide both sides by 90

∴ 9 = h

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6 0

3 years ago

Which identify could be used to rewrite the expression x6-27

hammer [34]

The differnce of 2 perfect cubes

remember
a³-b³=(a-b)(a²+ab+b²)

so
$(x^2)^3-(3)^3=(x^2-3)(x^2+3x+9)$

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3 years ago

50000000000000000000253554126x255412699852

Alja [10]

Answer:

1.277063499260000000006476094388e+40

Step-by-step explanation:

I used a calculator :)

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3 years ago

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What is the value of n so that the expression x^2 + 11x + n is a perfect trinomial?

lora16 [44]

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