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RUDIKE [14]
3 years ago
9

Show that the difference between any two consecutive square number in an odd number ​

Mathematics
2 answers:
Snowcat [4.5K]3 years ago
8 0

Any odd integer m is in the form

m=2k+1.

Let n and n+1 be consecutive integers. Then,

(n+1)^2-n^2=n^2+2n+1-n^2=2n+1

Dmitry_Shevchenko [17]3 years ago
3 0

Step-by-step explanation:

<h3>4²=16</h3>

5²=25

25-16=9

9 is an odd number.

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Determine if the sequence is arithmetic. If it is, find the common difference.
Iteru [2.4K]

Answer:

Yes, they are adding 100 every time.

Step-by-step explanation:

4 0
3 years ago
A board is 12 feet long. If the board is divided into 12 equal sections, how long is each section?
SIZIF [17.4K]
12 feet divided by 12 is equal to 1 foot ]
therefore a 12 foot long board divided into 12 equal sections has 12 1 foot long sections
6 0
4 years ago
In a kitchen there are three containers that can hold different quantities of water, as shown in the figure below:
ch4aika [34]

Answer:

A) 3x

Step-by-step explanation:

The total of all the volumes is ...

(x -1) + (x) + (x +1) = (1+1+1)x +(-1+1) = 3x+0 = 3x . . . . . matches choice A

6 0
3 years ago
Equation
konstantin123 [22]

Answer:

10x+8=4x+(-4).

10×+8=4x-4.

collect like terms.

10x-4x=-4-8.

6x=-12.

x=-12/6.

x=-2.

7 0
3 years ago
What is the domain of the function y=tan (x/8)<br> Please Help<br> 15 Points
7nadin3 [17]

1. You have the function y=tan(\frac{x}{8} )

2. You know that y=\frac{sinx}{cosx} with cosx\neq 0, because the division by zero is not defined. So , cosx=0 for \frac{(2n+1)\pi}{2} where n is a integer number.

3. Then, to find the domain of the function given in the problem, you must make \frac{x}{8} \neq \frac{k\pi}{2}  \\ x\neq 4k\pi

Where k is odd number.

4. Therefore:

x\neq 4\pi (2n+1)

5. Finally, the domain is: 4\pi (2n+1)

The answer is: 4\pi (2n+1)

5 0
4 years ago
Read 2 more answers
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