4 years ago

Find the value of x

Mathematics

1 answer:

s2008m [1.1K]4 years ago

7 0

x+ -33 Because the firs line and the equation line are the same size so

-33 + 12 = 12 Get it???

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Prove that (n+5)^2-(n+3)^2 is a multiple of 4 for all positive integer values of n

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Answer:

Proved

Step-by-step explanation:

Given

$(n+5)^2-(n+3)^2$

Required

Show that $(n+5)^2-(n+3)^2$ is a multiple of 4

Expand each bracket

$(n+5)(n+5)-(n+3)(n+3)$

Open brackets

$n^2 + 5x + 5x + 25 - (n^2 + 3x + 3x + 9)$

$n^2 + 10x + 25 - (n^2 + 6x + 9)$

Open bracket

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Collect Like Terms

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$- 6n + 10n + 25 - 9$

$4n + 25 - 9$

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Factorize

$4(n + 4)$

Hence, the multiples of $(n+5)^2-(n+3)^2$ are $4$ and $(n + 4)$

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3 years ago

Mr. Foley wants to randomly select 3 students for a committee. He used 3 coins to conduct a simulation to predict the probabilit

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