All categories

2 years ago

Using Euclid's division algorithm prove that : 847,2160 are co-primes

1 answer:

5 0

Definition of eo-primes or relatively primes: Two numbers are said to be co-prime or relatively prime If their HCF IS 1 Hence to prove 847 and 2160 as co-prime numbers we will find their HCF and which should be 1

New steps to find HCF will be as under

2160 = 847 x 2+ 466
847 = 466 ×1 +381
466 = 381 x 1 + 85
381 =85 x 4+ 41
85 =41 x 2+3
41 =3 x 13+ 2
3 =2 x 1+1
2 =1 x 2+0

Therefore, the HCF=1 Hence, the numbers are co-primes (relatively prime).

You might be interested in

<img src="https://tex.z-dn.net/?f=y%20%3D%20x%20%7B%7D%5E%7B2%7D%20-%209x%20%2B%2014" id="TexFormula1" title="y = x {}^{2} - 9x

svetoff [14.1K]

Answer:

a = - $\frac{9}{2}$ , b = - $\frac{25}{4}$

Step-by-step explanation:

To obtain the required form use the method of completing the square

add/ subtract ( half the coefficient of the x- term)² to x² - 9x

y = x² + 2(- $\frac{9}{2}$ )x + $\frac{81}{4}$ - $\frac{81}{4}$ + 14

= (x - $\frac{9}{2}$ )² - $\frac{81}{4}$ + $\frac{56}{4}$

= (x - $\frac{9}{2}$ )²- $\frac{25}{4}$ ← in the form (x + a)² + b

with a = - $\frac{9}{2}$ and b = - $\frac{25}{4}$

8 0

2 years ago

Read 2 more answers

Y is directly proportional to square root of x<br> If y=56 when x=49 find,<br> y when x=81

STALIN [3.7K]

$\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}$

$\stackrel{\begin{array}{llll} \textit{"y" directly}\\ \textit{proportional to }\sqrt{x} \end{array}}{y = k\sqrt{x}}\qquad \textit{we know that} \begin{cases} y = 56\\ x = 49 \end{cases}\implies 56=k\sqrt{49} \\\\\\ 56=7k\implies \cfrac{56}{7}=k\implies 8=k~\hfill \boxed{y=8\sqrt{x}} \\\\\\ \textit{when x = 81, what is "y"?}\hfill y=8\sqrt{81}\implies y=8(9)\implies y=72$

7 0

1 year ago

Ted has $55. 00 in his pocket. Which purchase will he be able to pay for with cash? two books for $29. 95 each headphones for $2

kotykmax [81]

If Ted has $55. 00 in his pocket then out of two books for $29. 95 each headphones for $29. 99 and a portable speaker set for $30. 95 an MP3 player for $35. 99 and a $20. 00 gift card for downloading music three books for $16. 99 each he can purchase three books for $16. 99 each.

<h3>How to calculate total money spent ?</h3>

To calculate total money spent we have to add all the money we spent on all things.

Given that Ted has $55. 00 in his pocket.

(i)

two books for $29. 95 each

Money needed for 2 books = $2\times 29.95=59.9$

So Ted is not able to purchase 2 books

(ii) headphones for $29. 99 and a portable speaker set for $30. 95

Money needed for headphones and portable speaker = 29.99+30.95=60.94

So Ted is not able to purchase headphones and portable speaker

(iii) an MP3 player for $35. 99 and a $20. 00 gift card for downloading music

Money needed for MP3 player and gift card= 35.99+20.00=55.99

So Ted is not able to purchase MP3 player and gift card

(iv) three books for $16. 99 each.

Money needed for 3 books = $3\times16.99$ =50.97

So ted is able to purchase these three books .

To learn more about money spent visit : brainly.com/question/21625005

7 0

1 year ago

Alinewithaslopeof7passesthroughthepoint

Dahasolnce [82]

Y=7x+3 because slope intercept form is y=mx+b where x is the slope and b is the y intercept so when you plug in the slope of 7 and the y intercept of 3 you get the equation y=7x+3.

8 0

2 years ago

Use a vertical format to subtract the polynomials.<br> 7x2 - 7x + 1<br> - (10x2<br> + 9x – 5)

juin [17]

7x^2 minus 10x^2 is 3x^2

-7x +9x is 2x

Lastly, 1 + -5 is -4

So your answer should be 3x^2 +2x-4. I hope this helps. Also I hope the picture is clear enough to see!

4 0

2 years ago