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2 years ago

5

Use distributive property and then combine like terms to write an equivalent expression for:

1 answer:

lara [203]2 years ago

4 0

Answer:

−2y3+4y2+18x+8

Step-by-step explanation:

Let's simplify step-by-step.

4(y2+2)+6x−2y3+12x

Distribute:

=(4)(y2)+(4)(2)+6x+−2y3+12x

=4y2+8+6x+−2y3+12x

Combine Like Terms:

=4y2+8+6x+−2y3+12x

=(−2y3)+(4y2)+(6x+12x)+(8)

=−2y3+4y2+18x+8

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Three charges are arranged in an equilateral triangle with sides of 4 cm. The coordinates and corresponding charge values are as

lisov135 [29]

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6 0

3 years ago

Studentka2010 [4]

Answer:

The area of the shaded portion of the figure is $9.1\ cm^2$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The shaded area is equal to the area of the square less the area not shaded.

There are 4 "not shaded" regions.

step 1

Find the area of square ABCD

The area of square is equal to

$A=b^2$

where

b is the length side of the square

we have

$b=4\ cm$

substitute

$A=4^2=16\ cm^2$

step 2

We can find the area of 2 "not shaded" regions by calculating the area of the square less two semi-circles (one circle):

The area of circle is equal to

$A=\pi r^{2}$

The diameter of the circle is equal to the length side of the square

so

$r=\frac{b}{2}=\frac{4}{2}=2\ cm$ ---> radius is half the diameter

substitute

$A=\pi (2)^{2}$

$A=4\pi\ cm^2$

Therefore, the area of 2 "not-shaded" regions is:

$A=(16-4\pi) \ cm^2$

and the area of 4 "not-shaded" regions is:

$A=2(16-4\pi)=(32-8\pi)\ cm^2$

step 3

Find the area of the shaded region

Remember that the area of the shaded region is the area of the square less 4 "not shaded" regions:

so

$A=16-(32-8\pi)=(8\pi-16)\ cm^2$

---> exact value

assume

$\pi =3.14$

substitute

$A=(8(3.14)-16)=9.1\ cm^2$

8 0

3 years ago

Find the area of this question

oee [108]

The answer to this question whould be that the area is 20

7 0

2 years ago

a plan of a den is drawn on a scale of 1:30 .if the length of the den on the plan measures 6 inches ,what is the actual length o

lisov135 [29]

30 what feet, inches, meters?

8 0

3 years ago

What is the answer A B C or D

Vanyuwa [196]

To solve this question, use the Cube surface area formula

Area = 6a^2 in which a = edge.

edge = 8.5

Area = 6(8.5)²

Simplify. Follow PEMDAS

Area = 6(72.25)

Area = 433.5

(C) 433.5 in² is your answer

hope this helps

3 0

3 years ago

Read 2 more answers