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pashok25 [27]
3 years ago
7

A rectangle has a length of x and a width that is 8 units shorter than twice the length.

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
6 0

Step-by-step explanation:

length = x

width = 2x-8

b.) to get the area you need to multiply the length and the width.

l×w= area

x(2x-8)

2x^2-8x

c.) 2x^2-8x = 10

subtract 10 both sides

2x^2-8x-10 = 0

2(x^2-4x-5) = 0

2(x-5)(x+1) = 0

x = 5

the area would be 10.

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A mosaic at the art museum is divided into 6 sections that each contain about the same number of tiles. There are 2,889 tiles to
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Answer

Find out the how many tiles are in each section .

To prove

Let us assume that the number of tiles are in section are be x.

As given

A mosaic at the art museum is divided into 6 sections that each contain about the same number of tiles.

There are 2,889 tiles total in the mosiac .

Than the equation becomes  

6 × x = 2889

x = \frac{2889}{6}

x = 481.5

Therefore the total number of tiles in each sections are 481.5 .


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Marrrta [24]

Given:

|3+4 i|+|3-4 i|+|-3+4 i|+|-3-4 i|

Solution:

Complex formula:

|a+b i|=\sqrt{(a+b i)(a-b i)}=\sqrt{a^{2}+b^{2}}

Let us simplify one by one.

|3+4 i|=\sqrt{3^{2}+4^{2}}

           =\sqrt{25}

|3 + 4i| = 5

|3-4 i|=\sqrt{3^{2}+(-4)^{2}}

           =\sqrt{25}

|3 - 4i| = 5

|-3+4 i|=\sqrt{(-3)^{2}+4^{2}}

           =\sqrt{25}

|-3 + 4i| = 5

|-3-4 i|=\sqrt{(-3)^{2}+(-4)^{2}}

           =\sqrt{25}

|-3 - 4i| = 5

Substitute these in the given expression:

|3+4 i|+|3-4 i|+|-3+4 i|+|-3-4 i|=5+5+5+5

                                                                  =20

The solution of the expression is 20.

8 0
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Find the midpoint of the following
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