Explore topic-wise InterviewSolutions in Current Affairs.

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1.

Please answer de do Jo Answer dega mein uske 10 answer ko thanks karungi​

Answer»

MARKUP

........................;

2.

अब्दुल के पास एक 12 से मी लुंबी रस्सी है वह इस रस्सी से एक आयात बनाना चाहता है | तो आयात का क्षेत्रफल क्या होगा ?

Answer»

Answer:

12

Step-by-step EXPLANATION:

रस्सी उतनी ही राहेगी

3.

the edges of a triangular board are 6cm , 8cm and 10 cm . find the cost of painting it at the rate of rs 14 per square cm. (dont forget 10 cm plss)​

Answer»

Answer:

Area = 1/28base*height

= 1/2*6*8 = 24 CM square

cost of painting = 24*9= 216 = 2 rs 16 paisa

Dont get confused. This TRIANGLE is a right ANGLED triangle as the SIDES comply with pythagoras theorem.

So no need for heron.

cheers

please follow me and LIKE and vote it

4.

Solve the problem??​

Answer»

Step-by-step explanation:

this is the 10 ANS WER I HOPE it's helpful for you it's of 8 th class , another 12 th answer is also helps you it's very important ,EASY

5.

1) find the quotient and remainder ,when 4xcube -3x+9is divisible by (2x-3). 2) factorize 2xcube-11xsquare+17x-6 using synthetic division method. 3) If x cube +2xsquare +ax+b has factors (x+1) and (x-1),then find a and b.​

Answer»

Answer:

3.2 The Factor Theorem and The Remainder Theorem 257

3.2 The Factor Theorem and The Remainder Theorem

Suppose we wish to find the ZEROS of f(x) = x

3 + 4x

2 − 5x − 14. Setting f(x) = 0 results in the

polynomial equation x

3 + 4x

2 − 5x − 14 = 0. Despite all of the factoring techniques we learned1

in Intermediate Algebra, this equation foils2 us at every turn. If we graph f using the graphing

calculator, we get

The graph suggests that the function has three zeros, one of which is x = 2. It’s easy to show

that f(2) = 0, but the other two zeros seem to be less friendly. Even though we could use the

‘Zero’ command to find decimal approximations for these, we seek a method to find the remaining

zeros exactly. Based on our experience, if x = 2 is a zero, it seems that there should be a factor

of (x − 2) lurking around in the factorization of f(x). In other words, we should expect that

x

3 + 4x

2 − 5x − 14 = (x − 2) q(x), where q(x) is some other polynomial. How could we find such

a q(x), if it even exists? The answer comes from our old friend, polynomial division. Dividing

x

3 + 4x

2 − 5x − 14 by x − 2 gives

x

2 + 6x + 7

x−2 x

3 + 4x

2 − 5x − 14

x

3 −2x

2

6x

2 − 5x

6x

2 −12x)

7x − 14

− (7x −14)

0

As you may recall, this means x

3 + 4x

2 − 5x − 14 = (x − 2)

x

2 + 6x + 7

, so to find the zeros of f,

we now solve (x − 2)

x

2 + 6x + 7

= 0. We get x − 2 = 0 (which gives us our known zero, x = 2)

as well as x

2 + 6x + 7 = 0. The latter doesn’t factor nicely, so we apply the Quadratic Formula to

get x = −3 ±

2. The point of this section is to generalize the technique applied here. First up is

a friendly reminder of what we can expect when we divide polynomials.

1

and probably forgot

2pun inte

258 Polynomial Functions

Theorem 3.4. Polynomial Division: Suppose d(x) and p(x) are nonzero polynomials where

the degree of p is greater than or equal to the degree of d. There exist two unique polynomials,

q(x) and r(x), such that p(x) = d(x) q(x) + r(x), where either r(x) = 0 or the degree of r is

strictly less than the degree of d.

As you may recall, all of the polynomials in Theorem 3.4 have special names. The polynomial p

is called the dividend; d is the divisor; q is the quotient; r is the remainder. If r(x) = 0 then

d is called a factor of p. The proof of Theorem 3.4 is usually relegated to a course in Abstract

Algebra,3 but we can still use the result to establish two important facts which are the basis of the

rest of the chapter.

Theorem 3.5. The Remainder Theorem: Suppose p is a polynomial of degree at least 1

and c is a real number. When p(x) is divided by x − c the remainder is p(c).

The proof of Theorem 3.5 is a direct CONSEQUENCE of Theorem 3.4. When a polynomial is divided

by x − c, the remainder is either 0 or has degree less than the degree of x − c. Since x − c is degree

1, the degree of the remainder must be 0, which means the remainder is a constant. Hence, in

either case, p(x) = (x − c) q(x) + r, where r, the remainder, is a real number, possibly 0. It follows

that p(c) = (c − c) q(c) + r = 0 · q(c) + r = r, so we get r = p(c) as required. There is one last ‘low

hanging fruit’4

to collect which we present below.

Theorem 3.6. The Factor Theorem: Suppose p is a nonzero polynomial. The real number

c is a zero of p if and only if (x − c) is a factor of p(x).

The proof of The Factor Theorem is a consequence of what we already know. If (x − c) is a factor

of p(x), this means p(x) = (x − c) q(x) for some polynomial q. Hence, p(c) = (c − c) q(c) = 0, so c

is a zero of p. CONVERSELY, if c is a zero of p, then p(c) = 0. In this case, The Remainder Theorem

tells us the remainder when p(x) is divided by (x − c), namely p(c), is 0, which means (x − c) is a

factor of p. What we have established is the fundamental connection between zeros of polynomials

and factors of polynomials.

Of the things The Factor Theorem tells us, the most PRAGMATIC is that we had better find a more

efficient way to divide polynomials by quantities of the form x − c. Fortunately, people like Ruffini

and Horner have already blazed this trail. Let’s take a closer look at the long division we performed

at the beginning of the section and try to streamline it. First off, let’s change all of the subtractions

into ADDITIONS by distributing through the −1s.Step-by-step explanation:

6.

Puzzle in math i)3+5 =ans​

Answer»

Answer:

3+5=8

Step-by-step EXPLANATION:

PLEASE MARK as BRAINLIEST.

7.

7. Three persons start their morning walk from the same line at the same time and in the samedirection. Their steps measure 90 cm, 80 cm and 85 cm. At what distance from the starting linewill they be in the same line again?​

Answer»

ANSWER:

Step-by-step explanation:

Finding the LCM of 90,80 and 85 =12240

they will be in the same LINE again after travelling 12240 CM

8.

Simplify (m+n)squre+(2m+n)squre+(2m-n) squre​

Answer»

ANSWER: Hope it helps!

Plz. MARK it as the BRAINLIEST.

9.

11/4 - 5/8+ -5/12+7/6 is k7/8. find k​

Answer»

ANSWER:

k=23/7

Step-by-step EXPLANATION:

We have 11/4-5/8+(-5/12)+7/6=7/8

=)11/4-5/8-5/12+7/6=7/8

=)66-15-10+28/24=7/8

=)66-15+18/24=7/8

=)69/24=7/8

=)69/24÷7/8=k

=)k=69/24×8/7

=)k=23/7

pls MARK it as BRAINLIEST.

10.

Pluto is 591300000m from the sun . express the strand form​

Answer»

╱◢╱╱╱◣╲╱◢╲╲╲◣╲

◢▇◣╱╱▇▇▇▇╲╲◢▇◣

▇▇▇▇▇▇▇▇▇▇▇▇▇▇

◥▇◤◥◤◥▇▇◤◥◤◥▇◤

╲◥╲╲╲╲◥◤╱╱╱╱◤╱

┏━━┓┏━━┳━━┳━━┓┏┓

┃┏┓┃┃┏┓┃┏┓┃┏┓┃┃┃

┃┗┛┗┫┃┃┃┗━┫┗━┓┃┃

┃┏━┓┃┃┃┣━┓┣━┓┃┗┛

┃┗━┛┃┗┛┃┗┛┃┗┛┃┏┓

┗━━━┻━━┻━━┻━━┛┗┛

╭╮┈┈╭┳╮╭┳━━╮╭╮

┃╰╮╭╯┃┃┃┃╭╮┃┃┃

╰╮╰╯╭┫┃┃┃╰╯┃┃┃

┈╰╮╭╯┃┃┃┃╭━╯╰╯

┈┈┃┃┈┃╰╯┃┃┈┈╭╮

┈┈╰╯┈╰━━┻╯┈┈╰╯

3.67×109 miles.

Thank and MARK me BRAINLIEST

11.

लबाई 12.8 सेमी वाला एक रेखाखंड खीचिए।रूलर और परकार की सहायता से इसके चार बराबर भाग कीजिए मापन द्वारा अपनी रचना की जाँच कीजिए।​

Answer»

Step-by-step explanation:

to JAISE ISME KAH rha H waisa kijiye

12.

Ratio of ages of raju and rani are 3:5 the difference of their ages is 16 years find their ages​

Answer»

ANSWER:

Probability of RAJU age=3/16

rani = 5/16

Step-by-step explanation:

MARK me as BRAINLIEST and follow me PLEASE

13.

I will mark as brainlistIn the summer holidays, 43,000 people from Delbe wentto Singapore, 24,500 people went to Pabai and 98;1970people went to London: How many people went toSingapore, Duboi and London altogether?​

Answer»

ANSWER:

or is RIGHT

Step-by-step EXPLANATION:

it is WRONG aask ANOTHER

14.

Compare the following. 3/4 and 4/5​

Answer»

Answer:

4/5 is bigger

Step-by-step explanation:

3/4                               4/5

15/20           <              16/20

15.

3³×5³×7 21³(7-2)³ Anser it

Answer»

ANSWER:

answer is

27348890625

16.

Find three rational numbers between 4 and 5​

Answer»

There are TWO WAYS of SOLVING this answer

Mark me as BRAINLIEST

17.

The area if an equilateral triangle is 9 under root 3 cm² find the length of its each side.please give step by step solution and I will mark you brainliest ​

Answer»

Answer:

HEY mate

that's your answer

hope it HELPS...........

mark it as BRAINLIEST.......

PLEASE FOLLOW me

18.

Plz answer 6th question i and ii

Answer»

Step-by-step EXPLANATION:

I HOPE this HELPS you

GO through this

19.

Y²-25Factorise the following:-​

Answer»

(y-5) (y+5)

.........

20.

Represent √5 on the number line.​

Answer»

It is easy to represent Rational number on the number line but it would be difficult to represent the irrational number on the number line, as it is a NON- terminating non- RECURRING decimal. By using PYTHAGORAS Theorem and by taking the NEAREST PERFECT square number we got number root.

sorry mate i can tell you this much only because in phone there is no feature to represent a number on number line.

21.

How many pieces of ribbon of length 20/3cm can be cut off from a ribbon of length 1.20m

Answer»

Answer:

18 pieces

Step-by-step explanation:

Hope this answer will SATISFY you....... PLZ MARK BRAINLIEST

22.

Prove that straight lines perpendicular to the same straight lines are parallel to one another​

Answer»

ANSWER:

if they form equal angle with the straight line

Step-by-step explanation:

two lines from a straight line would be PARALLEL if they form equal angle with that straight line. as here both the lines make 90 deg ANGLES which are equal so these lines would be parallel to each other.

23.

How we will write the angle s ​

Answer»

ANSWER:

Step-by-step EXPLANATION:

EITHER in DEGREES or in RADIANS

24.

5 cos 60° + 4 sin 30 - tan 45sin 230+ cos² 45​

Answer»

the ANSWER is in this PICTURE

25.

17/48;19/36;11/30;5/24 find the lcm​

Answer»

ANSWER:

if u have any problem kiddo.please WRITE it in the COMMENT BOX.

26.

I want to know how to know Selling price when C.p and Profit percent is being thinked of 40%

Answer»

ANSWER:

bxhddhjsdjdjfjfjhd

Step-by-step EXPLANATION:

vhxhfjfvjf

hsxhchf

zhdcjijf

hdhcjd

27.

Products of digit of Numerator of subtraction of (12/5 and 13/7)​

Answer»

ANSWER:

9 is the answer

Step-by-step explanation:

Hope this answer will SATISFY you....... PLZ MARK brainliest

28.

This is the question I am talking about

Answer»

ANSWER:

PLEASE FOLLOW me i will TELL

29.

4c(-a+b+c) - [3a(a+b+c)-2b(a-b+c)

Answer»

(-4ac+4bc+4c^2)-[3a^2+3ab+3ac-2ab+2b^2-2bc]

-4ac+4bc+4c^2-3a^2-3ab-3ac+2ab-2b^2+2bc

-7ac +6bc-ab+4c^2-3a^2-2b^2

30.

Please give step by step solution and I will mark u as brainliest and follow you​

Answer»

ANSWER:

................................

31.

4) Draw a cylinder and mark its curved face andone plane face. What two measurements areused to identify a cylinder?​

Answer»

Answer:

a CIRCLE and a rectangle

Step-by-step explanation:

the top part of the cylinder is the plane SURFACE and the front FACING part is the curved one .... please please mark me the BRAINLIEST?

32.

Sumplify2.0.01×0.05​

Answer»

ANSWER:

Step-by-step explanation:

2001/20000

33.

Pls answer the question fast pls!!​

Answer»

ANSWER:

WRITING is not GOOD. PLEASE POST again.

34.

किसी कार के एक पहिये का वायास 70 से मी है , पहिये के द्वारा 50 बार घूमने पर कार कितनी दूरी तय करेगी ?

Answer»

Answer:

Step-by-step EXPLANATION:

diameter = 70 cm

radius = 35 cm

so,

DISTANCE in one REVOLUTION

= circumference of tyre

= 2πr

= 2×(22/7)×35

= 2×22×5

= 220 cm

now,

distance in 50 revolutions = 220×50 = 11000 cm = 11 m

Please mark my answer brainiest

35.

5x-1/3(x+1)=6x+1/30​

Answer»

Answer:

5x -1/3(x+1)=6(x+1/30)

5x -x/3-1/3=6x+6/30

(15x-x-1)/3=(180x+6)/30

14x-1=3*(180x+6)/30

14x-1=(180x+6)/10

10(14x-1)=180x+6

140x-10=180x+6

-10-6=180x-140x

-16=40x

x=-16/40

x=-2/5

Step-by-step explanation:

PLEASE MARK AS BRAINLIEST

36.

Find the LCM of 16 20 24 by using prime factorization method ​

Answer»

ANSWER:

16=2*2*2*2

20 =2*2*2

24=2*2*2*3

lcm = 2*2*2*2*2*2*3

64*3

192 is the answer HOPE this helps you I gave u FIRST answer so plz

mark me as brainlist

37.

Find the LCM of 12,30,by using prime factorization method i want answer fast plz ​

Answer»

Answer:

Please DOWNLOAD teachoo app this app is mathematical app.... I HOPE IT HELPS YOU...... PLEASE MARK ME AS BRAINLIEST IF YOU SATISFIED FROM THIS ANSWER AND FOLLOW ME..... STAY HOME STAY SAFE.......

...

38.

Pls answer this thanks

Answer»

ANSWER:

Q5-(a)  3√125/27

           Exact FORM:

              5√15/3

           DECIMAL Form:

            6.45497224

   

     (B) 3√-216*4.096

         =  180.59598

     (c)√80000

        =282.842712475

39.

A car covers 12.55 km of distance in 1 litre of petrol. How much distance will it cover in36.7 litres of petrol?What is the importance of pollution norms for a vehicle?​

Answer»

Step-by-step EXPLANATION:

This is the ANSWER

HOPE U LIKE it

40.

Q1. Choose the correct optionD) Sum of a - b + ab, b + c - bc and c-a - ac isa) 2c + ab - ac - beb) 2c - ab - ac - bcc2c + ab + ac + bcd) 2c - ab + ac + bcQ2. Coefficient of y in term -y/3 isa) -1b) -3c) -1/3d) 1/3Q3. The degree of the polynomial- is..a) 2b) 3c) 4d) 5Q4. Number of terms in the expression-is....a) 1b) 2c) 3d) 4Pls help guys!!​

Answer»

ANSWER:

Step-by-step EXPLANATION:

A

c

c

b

41.

Find the LCM of 4,6,8, by using common multiple method ​

Answer»

Step-by-step explanation:

4=2*2

6=2*3

8=2*2*2

lcm=2*2*3*2

=24

42.

An object length is 23 cm breadth is 28 cm find perimetre​

Answer»

ANSWER:

ADD them to FIND perimeter

Step-by-step explanation:

23 + 28 = 51

43.

Plz ans..... plz ......​

Answer»

ANSWER:

- 108.33

Step-by-step EXPLANATION:

HOPE it HELPS ☺☺

44.

8. Chalk contains calcium, carbon and sand in the ratio 12:3:10. Find the percentageof carbon in the chalk.9. If ₹ 2500 is to be divided among Ravi, Raju and Roy, so that Ravi gets two parts,Raju three parts and Roy fiveparts. How muchmoney will each get? What will itbe in percentages?solve them and follow me​

Answer»

ANSWER:

Step-by-step explanation:

8. 12:3:10

Sum of RATIO= 25

Carbon ratio =3

(3/25) X 100=12%

Do not know 9

45.

Convert 45cmintometersand kilo meters show me full problem ​

Answer»

ANSWER:

METRES....0.45

kilometres....45/100000

46.

2х-3 = 2х + 33x-1 3х + 4​

Answer»

-6=6

-3=12

Mark me as BRAINLIEST

47.

Find the LCM of 10 and 20 by using common multiple method ​

Answer»

Answer:

How to find the LCM of 10 and 20

The prime factorization of 10 is: 2 X 5.

The prime factorization of 20 is: 2 x 2 x 5.

Eliminate the duplicate FACTORS of the two LISTS, then multiply them once with the remaining factors of the lists to get lcm(10,10) = 20.

bye FRND

48.

Show the number 7 on the number line.​

Answer»

ANSWER:

CHECK from the picture.

Hope it HELPS you

49.

किसी वर्ग का क्षेत्रफल 100 से मी है | उस वर्ग से काटे गाय सबसे बड़े व्रत की परिधि ज्ञात कीजिये ?

Answer»

Answer:

20π CM

Step-by-step EXPLANATION:

Side = 10 cm

agar side 10 cm hoga to circle ka radius 10 ka half hoga MATLAB 5 cm.

so perimeter hoga =2* pi*5=20π

50.

17 - [80 ÷ {2 x 3 - (-4) } ]

Answer»

ANSWER:

answer is..9 PLS FOLLOW me

Step-by-step explanation:

17- 80÷ 6+4

17-80÷10

17-8

9