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ankoles [38]
2 years ago
12

Expand the following expressions and write in standard form. Show your work.

Mathematics
1 answer:
sukhopar [10]2 years ago
3 0

3x(1-4x)+2(1-4x)

3x-12x²+2-8x

-5x-12x²+2

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The slope and speed of Plane A is 375mph and slope and speed for Plane B is 425 mph... so Plane A travels the fastest
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The width of a rectangle is (x+1) and the length is (x-6). What is the length and width of the rectangle if the area is 30 squar
jolli1 [7]

Answer:

The length of the rectangle (l) = 3 feet

The width of the rectangle (W) =  10 feet

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given that the width of the rectangle  = (x+1) feet</em>

<em>Given that the length of the rectangle = ( x-6) feet</em>

<em>The area of the rectangle = 30 square feet</em>

<u><em>Step(ii):-</em></u>

We know that the area of the rectangle

                = length ×width

    30   = ( x+1)(x-6)

    30   = x² - 6x + x -6

⇒ x² - 5 x - 6 = 30

⇒ x² - 5 x - 6 - 30 =0

⇒ x² - 5 x - 36 =0

 x² - 9 x +4x - 36 =0

   x (x-9) +4 ( x-9) =0

   ( x+4 ) ( x-9) =0

     ( x+4 ) =0 and  ( x-9) =0

     x =-4 and x =9

<u><em>Step(iii):-</em></u>

we have to choose x =9

     The length of the rectangle (l) =  x-6 = 9-6 =3

      The width of the rectangle (W) =  x+1 =  9 +1 = 10

<u><em>Final answer:-</em></u>

The length of the rectangle (l) = 3 feet

The width of the rectangle (W) =  10 feet

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D)y=1/4x represents a proportional relationship
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What is 85% of £30?? HELP ME ASAP
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EASY BRAINLIEST PLEASE HELP!!
DedPeter [7]

Answer:

C. AB = 5.8 cm

Step-by-step explanation:

In trapezoid ABCD, EF is the Midsegment.

.:. EF = {(AB+CD)

.:: 9.2 = {(AB + 12.6)

:: 9.2 x 2 = AB + 12.6

.. 18.4 = AB + 12.6

.. 18.4-12.6 = AB

:: AB = 5.8 cm

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