<img src="https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20-%206x%20-%2012" id="TexFormula1" title=" {x}^{2} - 6x

Ksju [112]

3 years ago

{x}^{2} - 6x - 12" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

Verdich [7]3 years ago

4 0

The expression is not factorable with rational numbers

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You multiply a number by 3 subtract 6 then add 2 the results is 20 what's the number

e-lub [12.9K]

You multiply a number by 3 subtract 6 then add 2 the results is 20

what's the number ?

Let the number = x

multiply a number by 3

so, it becomes 3x

subtract 6 , so, 3x - 6

then add 2

so, 3x - 6 + 2

The result will be 20

So,

3x - 6 + 2 = 20

solve for x

3x - 4 = 20

Add 4 to both sides

3x - 4 + 4 = 20 + 4

3x = 24

Divide both sides by 3

3x/3 = 24/3

So,

x = 8

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The diagram below represents the net of a triangular prism. What is the surface area of the triangular prism?

AleksandrR [38]

Answer:

(C)

Step-by-step explanation:

The diagram is divided ninto 5 parts that is rectangles ABCD, CHGD, GFEH and triangles CIH and DGJ.

Area of rectangle ABCD= $l{\times}b$

= $12{\times}6=72cm^{2}$

Area rectangle CDHG= $l{\times}b$

= $12{\times}8=96cm^{2}$

Area rectangle HGFE= $l{\times}b$

= $10{\times}12=120cm^{2}$

Area of triangles CIH and DIG= $2{\times}\frac{1}{2}{\times}b{\times}h$

= $6{\times}8=48cm^{2}$

Surface area of the triangular prism=Area of rectangle ABCD+Area rectangle CDHG+Area rectangle HGFE+Area of triangles CIH and DIG

= $72+96+120+48=336cm^{2}$

Hence, option C is correct.

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