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For REAL roots
b² - 4AC > 0
so k² - 64 > 0
if k² = 64 then K = 8
that is greater than 0
so k = 8

HERE is ur ANS
all SIDE of equiletral TRIANGLE are equal. so, all the angles of eq. triangle are also equal.
let one angle be x
x+x+x =180
3x = 180
x =60 degree
HENCE PROVED
HOPE it helps U

Above is the SOLUTION

Hey mate

here is ur ans

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By USING this formula U can FIND the other two values are given.

a =bq+r

divisor=divident×qotient+ remainder

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HOPE IT HELPS U ^_^_€_€

The diagonal of cube is √12=2√3.
we know that if LENGTH of cube is a then diagonal of cube is a√3.
this IMPLIES that the length of cube is 2cm.
its VOLUME V= (2)^3=8cm^3

Irrational numbers are the numbers which have a non terminating and non-repeating decimal EXPANSION. They don’t have any fixed value so we can’t represent them directly on the NUMBER LINE. we have to use a few tricks for this

Before understanding REPRESENTATION of irrational numbers on number line first, we need to understand Pythagoras’ theorem

The TWO NUMBER are 82and 28

They can have equal or UNEQUAL MAGNITUDES and their directions MAY be same or OPPOSITE. Two vectors arecollinear if they have the same direction or are parallel or anti-parallel. They can be expressed in the form a= K b where a and b are vectors and ' k ' is a scalar quantity

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Hey !!!!
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☺☺☺
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Here, a = 2 , B = 5 and c = K.
and we know that


So, alpha × beta = k/2.
So, alpha + beta = -5/2.
Now by squaring both the sides,
we get,
=>alpha^2 + beta^2 + 2 alpha beta = 25/4
=>alpha^2 + beta^2 = 25/4 - 2 alpha beta
=> alpha^2 + beta^2 = 25/4 - 2×(k/2)
=> alpha^2 + beta^2 = 25-4k/4
Now,
We have to find ,

=>25-4k/4 + k/2 = 21/4
=>25-4k+2k = 21
=>-2k = -4
=> k = 2
.
.
.
HOPE it may HELP U
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⬇️HERE IS YOUR ANSWER⬇️
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Lets suppose the two numbers are X and Y, where Y is the smaller number of the two, then
x^2 - y^2 = 180-----------1 
the square of the smaller number is eight TIMES the larger number, so
y^2 = 8x--------------------2 
So, using equation 2 in equation 1, we have
x^2 - 8x = 180
x^2 - 8x - 180 = 0
splitting -8x into 10x - 18x
x^2 +10x - 18x - 180 = 0
x(x+10) -18(x+10) = 0
(x - 18)(x +10) = 0 
so x = 18 or x = -10 
If x = 18, using equation 2,
y^2 = 8 X 18 = 144
then y = +-12 
If x = -10, using equation 2,
y^2 = 8 X -10 = -80
then y will be an imaginary number. 
considering you are using only REAL numbers, the solution will be x = 18 and y = +-12. 

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A regular HEXAGON with SIX equal SIDES has six lines of symmetry

LET the RATIONAL be x

X * 4 = 1 / x

X^2 = 1/4

Take square to the right

X = + or - 1/2..

I hope my ANSWER HELPED you

In ONE carton we can PACK 24×12 BISCUITS
In 45 CARTONS,we can pack 24×12×45 biscuits
24×12=288

288
×45
_______
1440
11520
_______
12960
_______

Therefore, altogether there are 12,960 biscuits.

doing WAIT for a MINUTE OK

This will HELP you my DEAR

Her is your answer

The French Revolution was a TIME of great turmoil in French history. It began in 1789 and ended in 1799. During the French Revolution, the previous absolute monarchy and the entire social three estate system was overthrown. People in the third estate were especially tired of being treated like this, and wanted radical changes right away,

Louis XVI was the first king to come into POWER at the start of the revolution. He was a very weak and indecisive ruler, which was terrible for the country at that point. He also had a wife, Marie-Antoinette from Austria, who was obsessed with spending money. Together

they put the country into DEBT with over 2 billion livres. Despite national lack of food, they always ate immense amounts, and spent money which didn't even belong to them, but to the country. This put the country into a worse state, and eventually, both Louis XVI and Marie Antoinette were executed.

 

The Third Estate was tired of being treated how they were. They wanted more respect 

and an actual say in the government. They were GIVEN a tithe for their crops, which caused them starvation and malnutrition. They had the most trouble paying for bread, while others feasted away. Finally, they began violent revolts.

 

Then, in 1794, after Louis XVI's execution, a ruler named Robespierre came into power. He was a terrible ruler, who killed thousands of men by the guillotine. There weren't fair trials, and anyone suspected was killed. Finally, he was arrested and overthrown one year later, and the New Constitution, with much newer ideas that gave people unalienable rights, was issued.

After many reforms, and new enlightened ideas, the revolution was over. Clearly, with all of these new reforms, the third estate had gotten exactly what they wanted and succeeded in the revolution. There were new ideas such as enlightenment, citizenship, nationalism, and inalienable rights. After this TEN years of upheaval and turmoil, the new, modern France was finally formed, inspired by the American Revolution.

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Hey user...

here is ur ans..✍✍

13 : 1, 13
14 : 1, 2, 7, 14
15 : 1,3, 5, 15
16 : 1, 2, 4, 8, 16
17 : 1, 17
18 : 1, 2, 3, 6, 9, 18
19 : 1, 19
20 : 1, 2, 4, 5, 10, 20
21 : 1,3,7,21
22 : 2, 11
23 : 1,23,
24 :  1, 2, 3, 4, 6, 8, 12, 24.
25 : 1, 5, 25

hope it helps!!✌✌

3 x^2-14 x+8
= 3x^2 -12X - 2x +8
=3x(x-4) - 2(x-4)
=(3x-2) (x-4)

I hope this will HELP
By DEVANSH

No.of girls=total STUDENTS -no.of boys

=42-5/7 of 42

=42-30

=12

Hi ,

LET x = 2 , y = -3

x > y

x² > y²

2² > ( - 3 )²

4 > 9 ( FALSE )

THEREFORE ,

for all x > y , x² > y² is not true .

I HOPE this HELPS you.

: )

What is the QUESTION?

8 (x - 3) - (6 - 2x ) = 2( x + 2) - 5(5 - x )

DISTRIBUTE the common factors:

8x - 24 - 6 + 2x = 2x + 4 - 25 + 5x

Combine like terms:

10x - 30 = 7x - 21

Subtract 7x from both sides:

3x - 30 = -21

Add 30 to both sides:

3x = 9

Divide both sides by 3:

x = 3

Answer: x = 3

HI guys the answer is
ZERO of the zero POLYNOMIAL is INDEFINABLE

He is in PROFIT up to 60 RUPEES

15x-15+4x+12=14+2x

15x+4x-3=14+2x

15x+4x-2x=14+3

17x=17

X=17/17

X=1

Hope its USEFUL..!!

Your answer is

(a) 23% of 500 is

23/100 × 500 = 23×5 = 115


(B) 2.5% of 800 is

2.5/100×800 = 2.5 × 8 = 20


(c) 0.4% of 1000 is

0.4/100×1000 = 0.4 + 10 = 4


(d) 115% of 400 is

115/100×400 = 115 × 4 = 460



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LET the INCOME be x
2/5 TH of income = 2x/5
2x/5 = 3000
X = 7500

Here is your ANSWER...
HOPE this HELPS you

INTEGERS are whole numbers, both positive and negative. You can perform FOUR basic MATH operations on them: addition, subtraction, multiplication, and DIVISION.

The Fundamental THEOREM of Arithmetic :

Every composite number

can be expressed( factorised )

as a product of powers of primes , and

this factorization is UNIQUE , a part

from the order in which the PRIME

factors occur .

or

All the natural

NUMBERS except ' 1 ' can written as a

product of their prime factors .

••••

I THINK that's it. HOPE this HELPS you!

A of square = s^2
121=s^2


s = 11
P of square = 4s
P = 4 × 11
Length of wire is equal to PERIMETER
therefore, length of wire = 44m
perimeter of square = perimeter of circle
circumference of circle =





area of circle =




therefore area of circle = 154 m^2

(x+1) (x+2) (x+10) is ANSWER.

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First find the LCM of the NUMBERS = 120

Then square that NUMBER = 120 x 120 = 14400

Please mark brainliest or THANKS if it helped :D

Here is your ANSWERS....
In SPACE

I HOPE it can HELP you