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Deffense [45]
2 years ago
7

Prove: The square of a number that is

Mathematics
1 answer:
Nikolay [14]2 years ago
3 0

Let 3<em>n</em> + 1 denote the "number" in question. The claim is that

(3<em>n</em> + 1)² = 3<em>m</em> + 1

for some integer <em>m</em>.

Now,

(3<em>n</em> + 1)² = (3<em>n</em>)² + 2 (3<em>n</em>) + 1²

… = 9<em>n</em>² + 6<em>n</em> + 1

… = 3<em>n</em> (3<em>n</em> + 2) + 1

… = 3<em>m</em> + 1

where we take <em>m</em> = <em>n</em> (3<em>n</em> + 2).

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3 years ago
Simplify by dividing negative three over eight divided by five over nine.
goblinko [34]

Answer:

\frac{-27}{40}

Step-by-step explanation:

First we need to write in correct form :

\frac{-3}{8}:\frac{5}{9}

We know how to divide fractions. If we can divide numerator by numerator, denominator by denominator, we just do it. In this example we can not do that.

So, we rewrite first fraction and multiply by reciprocal second ( numerator and denominator change place)

\frac{-3}{8} *\frac{9}{5}

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8 0
3 years ago
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RoseWind [281]

Answer:

x equals 2

Step-by-step explanation:

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then you are left with 2 = x

4 0
3 years ago
5T+1D=99 what is t and d
LenaWriter [7]

Answer: 12


Step-by-step explanation:


3 0
3 years ago
Hey guys stuck on three questions, can you help out a bit? Thanks!
alexandr1967 [171]

Answer:

D

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