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jekas [21]
2 years ago
8

Can someone help please, will give brainiest if correct!!!!

Mathematics
2 answers:
fiasKO [112]2 years ago
8 0

Answer:

AB = 4.5 cm

Step-by-step explanation:

Area = sum of areas of two rectangles

36 = [x(x - 4)] + [(x - 2)(2x + x)]

36 = x² - 4x + 3x² - 6x

4x² - 10x - 36 = 0

Dividing by 2:

2x² - 5x - 18 = 0

2x² - 9x + 4x - 18 = 0

x(2x - 9) + 2(2x - 9) = 0

(2x - 9)(x + 2) = 0

x = -2, 9/2

AB = x = 4½ cm

Bond [772]2 years ago
5 0

Answer:

AB = 9/2 cm

AB = 4.5 cm

Step-by-step explanation:

The area of small rectangle

x * (x-4) = x^2 -4x

The area of  the big rectangle

The height is 2x +x  and the width is x-2

(2x+x) * (x-2)

(3x) * (x-2)

3x^2 -6x

Add the areas together

x^2 -4x + 3x^2 -6x

4x^2 -10x

This is equal to 36

4x^2 -10x=36

Subtract 36 from each side

4x^2 -10x -36=36-36

4x^2 -10x-36=0

Divide each side by 2

2x^2 -5x -18=0

Factor

(x + 2) (2 x - 9) = 0

Using the zero product property

x+2=0  2x-9=0

x = -2   2x =9

x = -2   x = 9/2

Since we cant have a negative length

x = 9/2

AB = 9/2 cm

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Questions (contd)

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(b) $65

Step-by-step explanation:

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Step-by-step explanation:

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4 0
2 years ago
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vampirchik [111]
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Read 2 more answers
find the least perfect square that is exactly divisible by each of the numbers 5 , 18 , 25 and 27 . ​
Dimas [21]
<h3>☂︎ Answer :- </h3>

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<h3>☂︎ Solution :- </h3>

  • LCM of 5 , 18 , 25 and 27 = 2 × 3³ × 5²
  • 2 and 3 have odd powers . To get a perfect square, we need to make the powers of 2 and 3 even . The powers of 5 is already even .

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The least perfect square greater that the LCM ,

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☞︎︎︎ 2² × 3⁴ × 5²

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☞︎︎︎ 8100

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