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lesantik [10]
2 years ago
12

Prove: an odd number squared is an odd number

Mathematics
2 answers:
ollegr [7]2 years ago
7 0
An odd number squared so let’s say 7 for example looks like this: 7^2. This just means 7x7. In elementary you learn the an odd number times an odd number is odd. This is the same. Therefore any odd number squared is an odd number.
densk [106]2 years ago
3 0

Answer:

2(2n² + 2n) + 1

Step-by-step explanation:

(2n + 1)² can also written as

(2n + 1) × (2n + 1)

= 4n² + 2n + 2n + 1

= 4n² + 4n + 1

= 2(2n² + 2n) + 1

= an odd

Hence Proved!

 

<u>-TheUnknownScientist</u><u> 72</u>

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Drag the tiles to the correct boxes to complete the pairs.
erastova [34]

Answer:

√8 ==> 2 units, 2 units

√7 ==> √5 units, √2 units

√5 ==> 1 unit, 2 units

3 ==> >2 units, √5 units

Step-by-step explanation:

To determine which pair of legs that matches a hypotenuse length to create a right triangle, recall the Pythagorean theorem, which holds that, for a right angle triangle, the square of the hypotenuse (c²) = the sum of the square of each leg length (a² + b²)

Using c² = a² + b², let's find the hypotenuse length for each given pairs of leg.

=>√5 units, √2 units

c² = (√5)² + (√2)²

c² = 5 + 2 = 7

c = √7

The hypothenuse length that matches √5 units, √2 units is √7

=>√3 units, 4 units

c² = (√3)² + (4)²

c² = 3 + 16 = 19

c = √19

This given pair of legs doesn't match any given hypotenuse length

=>2 units, √5 units

c² = (2)² + (√5)²

c² = 4 + 5 = 9

c = √9 = 3

legs 2 units, and √5 units matche hypotenuse length of 3

=>2 units, 2 units

c² = 2² + 2² = 4 + 4

c² = 8

c = √8

Legs 2 units, and 2 units matche hypotenuse length of √8

=> 1 unit, 2 units

c² = 1² + 2² = 1 + 4

c² = 5

c = √5

Leg lengths, 1 unit and 2 units match the hypotenuse length, √5

3 0
3 years ago
Carpect costs $16 a square foot. A rectangular floor is 16 feet long by 14 feet wide. How much would it cost to carpet the floor
DerKrebs [107]

Answer:

$3584

Step-by-step explanation:

- because its a rectangle, the area of the floor is length*width, so 16*14 = 224 square feet

- one square foot is $16, so 224 sqaure feet are 224*16

= 3584

8 0
2 years ago
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What is the area?<br> 6 mi<br> 4 mi<br> square miles
choli [55]

Answer:

12 sq mi

Step-by-step explanation:

base times height divided by 2

4 0
2 years ago
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You have 10 gallons of lemonade. How many cups will be left over if you sell 80% of the lemonade
ioda

Answer:

2

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Of the 14 professional sports team in Tennessee, 9 are baseball teams. About what percent of the professional sports teams in Te
Westkost [7]

Answer:

64.3%

Step-by-step explanation:

Number of professional sports team in Tennessee is equal to 14

9 are baseball teams

Percentage of baseball teams

= no. of baseball teams/ no. of sports team x 100%

That’s 9/14 x 100%

0.643 x 100%

64.3%

The percentage of baseball team in Tennessee professional sports team is 64.3%

6 0
3 years ago
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