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2 years ago

Eliott was trying to factor 6x^2-18 . He found that the greatest common factor of these terms was 6 and made an area model:

Mathematics

1 answer:

Semenov [28]2 years ago

4 0

x²-3

Step-by-step explanation:

The expression given is;

6x²-18

Finding the greatest common factor of the terms and simplifying the expression will be;

Divide the terms by 6 to get;

x²-3

Graphing the expression to find the area model will be as attached;

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Factorizing expressions:brainly.com/question/12290978

Keywords : factor, greatest common factor, terms, area model

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Parallelogram RSTU is rotated 180° clockwise

julia-pushkina [17]

Answer:

Two pairs of parallel sides

Step-by-step explanation:

The given transformation performed on parallelogram RSTU = 180° clockwise rotation

Given that a rotation is a form of rigid transformation, the shape and size of the preimage RSTU will be equal to the the shape and size of the image R'S'T'U'

Therefore, RSTU ≅ R'S'T'U' and R'S'T'U' is also a parallelogram with two pairs of parallel sides.

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2 years ago

The Length of a rectangle exceeds its breadth by 9 cm. if length and breadth are each increased by 3 cm, the area of new rectang

gizmo_the_mogwai [7]

Answer:

Breadth = 8 cm

Length = 17 cm

Step-by-step explanation:

Given rectangle:

Breadth = x cm

Length = x + 9 cm

Area = length * breadth

= x * (x + 9)

= x² + 9x

Rectangle with length and breadth increased:

Breadth = x + 3 cm

Length = x + 9 + 3 = x + 12 cm

Area = 84 + (x² + 9x) cm²

(x +3) * (x +12) = 84 + x² + 9x

Use FOIL method

x*x + x*12 + 3*x + 3*12 = 84 + x² + 9x

x² + 12x + 3x + 36 = 84 + x² + 9x {add the like terms}

x² + 15x + 36 = 84 + x² + 9x

x² + 15x + 36 - 84 - x² - 9x = 0

6x - 48 = 0

6x = 48

x = 48/6

x = 8

Breadth = x = 8 cm

Length = x + 9 = 8 +9 = 17 cm

7 0

3 years ago

Round to the given place value hundreds and tens 547 , 609 and 990

myrzilka [38]

The first number will be 500
the second number will be 600
and the last number will be 990

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3 years ago

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Solve for w.<br>9- w = 224

Tems11 [23]

Answer:

-215

Step-by-step explanation:

-w = 215

w = -215

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2 years ago

Antony spent 328 minutes reading on Monday, Jose spent 159 minutes reading on Monday, how many more minutes did Antony spend tha

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Answer:

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Step-by-step explanation:

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2 years ago