Using identities solve 103^ -Maths 9th

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Description : Using identities solve 103^ -Maths 9th

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Description : Using identities , find the value of -Maths 9th

Last Answer : (i) 1012 = (100 + 1)2 = 1002 + 2 100 1 + 12 = 10000 + 200 + 1 = 10201 (ii) 982 = (100 - 2)2 = 1002 - 2 100 2 + 22 = 10000 - 400 + 4 = 9604 (iii) 0.982 = (1- 0.02)2 = 12 - 2 1 0 ... 102 - 12 = 99 (v) 190 190 - 10 10 = 1902 - 102 = (190 + 10 ) (190 - 10) = 200 180 = 36000

Description : If x + y = 5 and xy = 4 , find x - y , using identities. -Maths 9th

Last Answer : (x+y)2 = x2 - 2xy + y2 = x2 + 2xy + y2 - 4xy = (x+y)2 - 4xy = 52 - 4 × 4 = 25 - 16 = 9 ∴ x - y = √9 = 3

Description : Evaluate using identities -Maths 9th

Last Answer : (i) 1023 = (100 + 2)3 = (100)3 + 3(100)2 (2) + 3(100) (2)2 + 23 = 10,00,000 + 60,000 + 1200 + 8 = 10,61,208 (ii) 993 = (100 - 1)3 = 1003 - 3(100)2 (1) + 3(100) (1)2 - 13 = 10,00,000 - 30,000 + 300 - 1 = 9,70,299

Description : Evaluate using the identities -Maths 9th

Last Answer : (i) 505 × 503 = (500 + 5) (500 + 3) = 5002 + (5 + 3) (500) + 5 × 3 = 250000 + 4000 + 15 = 254015 (ii) 37 × 16 = (30 + 7) (30 - 4) = 302 + (7 - 4) (30) - 7 × 4 = 900 + 90 - 28 = 962

Description : Using identities , find the value of -Maths 9th

Last Answer : (i) 1012 = (100 + 1)2 = 1002 + 2 100 1 + 12 = 10000 + 200 + 1 = 10201 (ii) 982 = (100 - 2)2 = 1002 - 2 100 2 + 22 = 10000 - 400 + 4 = 9604 (iii) 0.982 = (1- 0.02)2 = 12 - 2 1 0 ... 102 - 12 = 99 (v) 190 190 - 10 10 = 1902 - 102 = (190 + 10 ) (190 - 10) = 200 180 = 36000

Description : If x + y = 5 and xy = 4 , find x - y , using identities. -Maths 9th

Last Answer : (x+y)2 = x2 - 2xy + y2 = x2 + 2xy + y2 - 4xy = (x+y)2 - 4xy = 52 - 4 × 4 = 25 - 16 = 9 ∴ x - y = √9 = 3

Description : Evaluate using identities -Maths 9th

Last Answer : (i) 1023 = (100 + 2)3 = (100)3 + 3(100)2 (2) + 3(100) (2)2 + 23 = 10,00,000 + 60,000 + 1200 + 8 = 10,61,208 (ii) 993 = (100 - 1)3 = 1003 - 3(100)2 (1) + 3(100) (1)2 - 13 = 10,00,000 - 30,000 + 300 - 1 = 9,70,299

Description : Evaluate using the identities -Maths 9th

Last Answer : (i) 505 × 503 = (500 + 5) (500 + 3) = 5002 + (5 + 3) (500) + 5 × 3 = 250000 + 4000 + 15 = 254015 (ii) 37 × 16 = (30 + 7) (30 - 4) = 302 + (7 - 4) (30) - 7 × 4 = 900 + 90 - 28 = 962

Description : Evaluate each of the following using identities: (i) (2x –1x)2 (ii) (2x + y) (2x – y) (iii) (a2b – b2a)2 (iv) (a – 0.1) (a + 0.1) (v) (1.5.x2 – 0.3y2) (1.5x2 + 0.3y2) -Maths 9th

Last Answer : (i) (2x - 1/x)2 [Use identity: (a - b)2 = a2 + b2 - 2ab ] (2x - 1/x)2 = (2x) 2 + (1/x)2 - 2 (2x)(1/x) = 4x2 + 1/x2 - 4 (ii) (2x + y) (2x - y) [Use identity: (a - b)(a + b) = a2 - b 2 ] (2x + y) (2x - ... ) = a2 - b 2 ](1.5 x 2 - 0.3y2 ) (1.5x2 + 0.3y2 ) = (1.5 x 2 ) 2 - (0.3y2 ) 2 = 2.25 x4 - 0.09y4

Description : Evaluate each of the following using identities: (i) (399)2 (ii) (0.98)2 (iii) 991 x 1009 (iv) 117 x 83 -Maths 9th

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Description : In quadratic equation ax^2 + bx + c = 0 , Identities the sum and product of Roots? -Maths 9th

Last Answer : If the two roots of the quadratic equation ax2 + bx + c = 0 obtained by the quadratic formula be denoted by a and b, then we have α = \(\frac{-b+\sqrt{b^2-4ac}}{2a},\) β = \(\frac{-b-\sqrt{b^2-4ac}}{2a}\) ∴ Sum of roots ... then α + β = - (- \(\frac{5}{6}\)) = \(\frac{5}{6}\), ab = \(\frac{7}{6}\).

Description : Evaluate each of the following: (i) (103)3 (ii) (98)3 (iii) (9.9)3 (iv) (10.4)3 (v) (598)3 (vi) (99)3 -Maths 9th

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Description : √3-1÷√3+1 rationalise (can solve by finding the rationalizing factor of denominator -Maths 9th

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Description : Solve for x if a > 0 and 2 logx a + logax a + 3 loga2x a = 0 -Maths 9th

Last Answer : (d) \(a^{-rac{4}{3}}\)Since logaxa = \(rac{1}{log_aax}\) = \(rac{1}{log_aa+log_ax}\) = \(rac{1}{1+log_ax}\) andloga2x a = \(rac{1}{log_aa^2x}\) = \(rac{1}{log_aa^2+log_{ax}x}\) = \(rac{1}{2log_aa+log_{ax}x}\)= \( ... 2}}\)When t = \(-rac{4}{3}\), logax = \(-rac{4}{3}\) ⇒ \(x\) = \(a^{-rac{4}{3}}\)

Description : Solve the following equations for x and y. log100 |x+y| = 1/2, -Maths 9th

Last Answer : (b) \(\bigg(rac{10}{3},rac{20}{3}\bigg)\). (+ 10, 20) log100 |x+y| = \(rac{1}{2}\) ⇒ |x + y| = 100\(^{rac{1}{2}}\)⇒ |x + y| = 10 as (-10 is inadmissible) ...(i) log10y - log10| x | = log1004⇒ log10 ... x < 0, then x = 10.∴ If x = \(rac{10}{3}\), then y = \(rac{20}{3}\) and if x = 10, y = 20.

Description : A can solve 90% of the problems given in a book and B can solve 70%. What is the probability that at least one of them -Maths 9th

Last Answer : Let E be the event that A solve the problem and F the event that B solves the problem.Then P(E) = \(rac{90}{100}\) = \(rac{9}{10}\), P(F) =\(rac{70}{100}\) = \(rac{7}{10}\), P(\(\bar{E}\) ... probability that at least one of them will solve a problem = 1 - \(rac{3}{100}\) = \(rac{97}{100}\) = 0.97.

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Description : Two students A and B solve an equation of the form x^2 + px + q = 0. A starts with a wrong value of p and obtains the roots as 2 and 6. -Maths 9th

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Description : Solve for x : log10 [log2 (log39)] = x -Maths 9th

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Description : Solve log2x + 3 (6x^2 + 23x + 21) = 4 – log3x + 7 (4x^2 + 12x + 9). -Maths 9th

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Description : Solve these following equations: (i) 3x + 3 = 15 (ii) 2y + 7 =19 -Maths 9th

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Description : What is the moment of inertia acting on a rectangle of width 15 mm and depth 40 mm about base by using theorem of parallel axes? a. 320 x 103 mm4 b. 300 x 103 mm4 c. 240 x 103 mm4 d. 80 x 103 mm

Last Answer : a. 320 x 103 mm4

Description : Using the RSA public key crypto system, if p=13, q=31 and d=7, then the value of e is (A) 101 (B) 105 (C) 103 (D) 107

Last Answer : (C) 103 Explanation: Basic RSA Algorithm: 1. Choose two primes, p & q. 2. Compute n=p*q and z=(p-1)*(q-1). 3. Choose a number relatively prime to z and call it d. 4. Find e such that e*d= ... each of these in turn by 7 to see which is divisible by 7, we find that 721/7 = 103, hence e = 103. 

Description : What gives things their separate identities?

Last Answer : answer:Separate identity is an illusion, an artifact of the way the intellect processes experience, reinforced by social convention. We interpret these separate identities to be intrinsic features of reality, ... , then we lose track of our intrinsic wholeness: that in fact nothing separates us.

Description : Do you think there is a typical amount of identities we take on?

Last Answer : I think those of use who have integrated identity politics into our lives consider many different aspects of our lives. Others usually have 3-5 that they can list and it usually goes like this wife, ... something. It's not often that people consider race or ableism or how old they are or anything.

Description : Do you think that children of sperm or egg donors have the right to retroactively demand the identities of the anonymous donors and win in court?

Last Answer : If they donors wanted not to be anonymous, they would… not have been anonymous. It’s a bummer for these kids but I don’t see any reason why they would have a right to this information.

Description : Last minute explanations on Trig Identities.

Last Answer : I don't know how to do 1-3 and 5 or maybe I forgot, but I can help with 4. THE ZERO WITH THE BELT ACROSS=X 4. (1-cotX)^2 = csc^2 X -2cotX (1-cotX)(1-cotX) = csc^2 X - ... notes or cheat-sheets on your final? You can always wake up early tomorrow to ask your teacher for help or stay after school

Description : Do those of you who have multiple identities give yourselves lurve?

Last Answer : Nope. To do so is called “Lurve Gaming” and is against the guidelines and grounds for banning.

Description : Three gods, A, B, and C, are called, in some order, True, False, and Random. True always speaks truly, False always speaks falsely, but whether Random speaks truly or falsely is completely random. You must ... are da and ja, in some order. You do not know which word means which. -Riddles

Last Answer : We're willing to bet that your brain feels pretty busted at this point. If you're ready to throw in the towel and hear the solution, we won't tell! Here are the three questions you ... start sorting out the solution with this 2008 paper, which claims to have the easiest answer to the brainteaser.

Description : Three gods, A, B, and C, are called, in some order, True, False, and Random. True always speaks truly, False always speaks falsely, but whether Random speaks truly or falsely is completely random. ... a trick question. As a matter of fact, there are multiple ways to get the correct answer. -Riddles

Last Answer : 1. To god A: Does da' mean yes' if and only if you are True and if and only if B is Random? (We supposed A said, ja, making B True or False). 2. To god B: Does da mean yes' if and ... only if A is Random? Since B's True, he must say da, which means A is Random, leaving C to be False.

Description : “The outcome of politics of social divisions depends on how people perceive their identities.” Explain the statement with example. -SST 10th

Last Answer : Three factors are crucial in deciding the outcome of politics of social divisions. First of all, the outcome depends on how people perceive their identities. If people see their identities in singular and ... as well as belonging to a state or a language group or a social or religious community.

Description : Among the following, which country suffered disintegration due to political fights on the basis of religious and ethnic identities ? -SST 10th

Last Answer : C - The country which suffered disintegration due to political fights on the basis of religious and ethnic identities is Yugoslavia. Hence, option (c) is correct

Description : “We have different identities in different contexts.” Support the statement with three facts. -SST 10th

Last Answer : (i) It is common for people belonging to the same religion to feel that they do not belong to the same community, because their caste or sect is different. (ii) It is also possible ... each other because they feel they are very different. Thus, we have different identities in different contexts.

Description : Which country suffered disintegration due to political fights on the basis of religious and ethnic identities? -SST 10th

Last Answer : Yugoslavia suffered disintegration due to political fights on the basis of religious and ethnic identities.

Description : What is the definition of social identities?

Last Answer : A category of identity based on membership in a group.

Description : Why are the equations w-x plus xw and w plus x-xw called identities?

Last Answer : w - x + x = wandw + x - x = w are true for all values of w and x and that is whythey are called identities.

Description : Why are the equations w-x plus xw and w plus x-xw called identities?

Last Answer : w - x + x = wandw + x - x = w are true for all values of w and x and that is whythey are called identities.

Description : Ratios of sides of a right triangle with respect to its acute angles are knownas ————– a. Trigonometric Identities b. Trigonometric Ratios c. Trigonometry d. trigonometry formula

Last Answer : b. Trigonometric Ratios

Description : Gender relations are the ways in which a culture or society defines a. Rights. b. Responsibilities. c. Identities of men and women. d. All of the above.

Last Answer : a. Rights.