2 years ago

Show that the difference between any two consecutive square numbers is an odd number

Mathematics

1 answer:

borishaifa [10]2 years ago

5 0

Step-by-step explanation:

(x+1)squared-squared=2x+1 is always odd because sum of even number and odd number is always odd

You might be interested in

Consuelo's living room is in the shape of a rectangle and has an area of 360 square feet. The width of the living room is 5/8 it

uranmaximum [27]

<h2>Therefore the length of the living room = 24 ft</h2>

Step-by-step explanation:

Given that , Consuelo's living room is in the shape of rectangle and has an area of 360 square feet and the width of the living room is $\frac {5}{8}$ its length

Let ,the length of the living room is = x ft

Then width = $\frac {5}{8}x$ ft

Therefore the area of the living room = $x \times \frac {5}{8}x ft^2$

According to problem,

$x\times \frac {5}{8}x = 360$

⇔ $\frac{5}{8}x^2=360$

⇔ $x^2 = \frac{360\times 8}{5}$

⇔ $x^2 = 576$

⇔ $x=\sqrt{576}$

⇔ $x = 24$

Therefore the length of the living room = 24 ft

8 0

3 years ago

Read 2 more answers

An isosceles trapezoid has base angles of 45° and bases of lengths 8 and 14. The area of the trapezoid is

tigry1 [53]

You forgot to add in your height to your question. To find your area you need to do 8 + 14 and get 22 then you nee to do the height divided by two. If you give me the height of the triangle I can tell you the area.

8 0

3 years ago

Paolo is using his grandmother’s cookie recipe. He always doubles the amount of chocolate chips and oats. The recipe calls for 2

lesya692 [45]

Answer:

6 1/3 divided by 2 1/2 = x

Step-by-step explanation:

Hope this helps.

6 0

3 years ago

Factorise (x2 - x - 12)

Leno4ka [110]

The answer is (x-4)(x+3)

8 0

3 years ago

The table shows the volume V (in cubic feet) of a cube with a side length of x feet.

Dmitriy789 [7]

It has the same side of the length and feet

6 0

3 years ago

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

Show that the difference between any two consecutive square numbers is an odd number