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Dvinal [7]
3 years ago
9

What polynomial identity will prove that 49-4=45

Mathematics
1 answer:
Svetach [21]3 years ago
3 0
49 is a square given by 7x7 as is clear in your equation, 4 is a square given by 4x4 the operator given is - ( minus) you have two squares, and a difference sign a^2 - b^2 = (a-b)(a+b) 7^2 -2^2 = (7-2)(7+2) = (5)(9) = 45 it is the diffeernce of two squares
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Simplify (1 − 4i) − (6 + 9i).
ss7ja [257]

Answer: -5-13i

Work Shown:

(1-4i) - (6+9i) = 1-4i-6-9i

(1-4i) - (6+9i) = (1-6) + (-4i-9i)

(1-4i) - (6+9i ) = -5 - 13i

8 0
3 years ago
A square has an area of 81x square cm. What is the perimeter of the square ?
Fudgin [204]

Answer:

The perimeter of the square is 36\sqrt{x}\ cm

Step-by-step explanation:

step 1

Find the length side of the square

we know that

The area of a square is equal to

A=b^{2}

where

b is the length side of the square

we have

A=81x\ cm^{2}

substitute and solve for b

81x=b^{2}

square root both sides

b=9\sqrt{x}\ cm

step 2

Find the perimeter of the square

we know that

The perimeter of the square is equal to

P=4b

we have

b=9\sqrt{x}\ cm

substitute

P=(4)9\sqrt{x}

P=36\sqrt{x}\ cm

6 0
3 years ago
In year, 2004, I put $20.00 into an account to save. This account annual interest fee is 0.002%. However, every 10th year the in
olchik [2.2K]

9514 1404 393

Answer:

  $20.01

Step-by-step explanation:

In 2004–2012, the interest rate is 0.002%. In 2013, it is 0.004%. In 2014–2021, the interest rate is 0.002%. That is, in the 18 years between 2004 and 2021 (inclusive), the interest rate is 0.002% for 17 of them. The effective account multiplier is ...

  (1.00002^17)(1.00004^1) = 1.00038006801

Then the account balance is ...

  $20 × 1.00038006801 ≈ $20.01

_____

<em>Additional comment</em>

The annual interest earned on $20.00 is $0.0004. If the account balance is rounded to the nearest cent annually, at the end of the 18 years, the balance will still be $20.00. Not enough interest is earned in one year to increase the balance above $20. At the end of the 18 years, the amount of interest earned is 0.76¢ (a fraction of a penny) <em>only if there is no rounding in intervening years</em>.

7 0
2 years ago
What is the set of numbers for -9
Step2247 [10]

rational numbers and integers

8 0
4 years ago
The sum of three consquetive odd number is 177. Find the numbers.
beks73 [17]

Answer:

57, 59, and 61.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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