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MrRissso [65]
2 years ago
14

Analyze the diagram below and complete the instructions that

Mathematics
1 answer:
8090 [49]2 years ago
6 0

Answer:

The shape is a square and a triangle, so all sides of the square are equal to 6, and applying the Pythagorean law to a right-angled triangle, we can find the value of x

Then

{x}^{2}  =  {6}^{2}  +  {3 }^{2}  \\  {x}^{2}  = 36 + 9 \\  {x}^{2}  = 45 \\ x = 3 \sqrt{5}

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Answer is B.

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Note: I multiplied 10 by 3, because the prime factors of 18 are 3, 3 and 2 so I made a pair from the 3 and multipled and was left with 2.


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son4ous [18]
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4 0
3 years ago
One factor of the polynomial 6x3 − x2 + 8x + 5 is (2x + 1). What is the other factor of the polynomial? (Note: Use long division
maria [59]

Answer:

(3x^2 - 2x + 5)

Step-by-step explanation:

3x^2 - 2x + 5

2x + 1 \sqrt{6 {x}^{3}  -  {x}^{2}  + 8x + 5  }

- <u>(6x^3 + 3x^2)</u>

-4x^2 +8x +5

- <u>(-4x^2 - 2x)</u>

10x + 5

-(<u>10x + 5)</u>

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(2x+1) (3x^2 - 2x + 5) = 6x^3 - x^2 + 8x + 5

Therefore the other factor of the polynomial is (3x^2 - 2x + 5)

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Answer:

Step-by-step explanation:

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