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4 years ago

Match the following items.

Mathematics

1 answer:

shusha [124]4 years ago

6 0

Step-by-step explanation:

The following match

* a² + 2ab + b² and (a + b)²

* a² - b² and (a - b)(a + b)

* a² - 2ab + b² and (a - b)²

* a³ - b³ and (a - b)(a² + ab + b²)

* a³ + b³ and (a + b)(a² - ab + b²)

* y = 10x Direct variation

* xy = 18 Algorithm

* y = 4xz Joint variation

* y = 4x/z Inverse variation

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3 years ago

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10. Create a scenario to explain why 3P3=3!.

Flauer [41]

Step-by-step explanation:

Permutation :The number of ways to choose a sample of r elements from a set of n distinct objects where order does matter and replacements are not allowed.

$nPr = \frac{n!}{(n-r)!}$

Factorial : There are n! ways of arranging n distinct objects into an ordered sequence.

Considering a situation when n = r in a permutation, nPr reduces to n!, a simple factorial of n.

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3 years ago

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3 years ago

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RoseWind [281]

Answer:

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Step-by-step explanation:

${x}^{2} -8x + 5 = 0 \\ \\ {x}^{2} - 8x + {4}^{2} = - 5 + {4}^{2} \\ \\ {(x - 4)}^{2} = - 5 + 16 \\ \\ {(x - 4)}^{2} = 11 \\ \\ x - 4 = \pm \sqrt{11} \\ \\ x = 4 \pm \sqrt{11} \\ \\ x = 4 + \sqrt{11}, \: \: x = 4 - \sqrt{11}$

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