2 years ago

Use the distributive property to remove the parentheses.

1 answer:

5 0

Answer: 12x^6 - 18x^4

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joja [24]

Answer:

the answer for the volume of the cylinder is V≈25.13in³

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3 years ago

Basile [38]

Radius into radius .You should know half of diameter is radius.

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3 years ago

Iteru [2.4K]

Let

$P(n):\ 1+2+\ldots+n = \dfrac{n(n+1)}{2}$

In order to prove this by induction, we first need to prove the base case, i.e. prove that P(1) is true:

$P(1):\ 1 = \dfrac{1\cdot 2}{2}=1$

So, the base case is ok. Now, we need to assume $P(n)$ and prove $P(n+1)$ .

$P(n+1)$ states that

$P(n+1):\ 1+2+\ldots+n+(n+1) = \dfrac{(n+1)(n+2)}{2}=\dfrac{n^2+3n+2}{2}$

Since we're assuming $P(n)$ , we can substitute the sum of the first n terms with their expression:

$\underbrace{1+2+\ldots+n}_{P(n)}+n+1 = \dfrac{n(n+1)}{2}+n+1=\dfrac{n(n+1)+2n+2}{2}=\dfrac{n^2+3n+2}{2}$

Which terminates the proof, since we showed that

$P(n+1):\ 1+2+\ldots+n+(n+1) =\dfrac{n^2+3n+2}{2}$

as required

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3 years ago

sdas [7]

202 + 8 = 210
210 + 8 = 218
218 + 8 = 226

The number is 226.

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3 years ago

slega [8]

Answer:

b=7

Step-by-step explanation:

7 0

3 years ago