Using identities , find the value of -Maths 9th

Using identities , find the value of -Maths 9th
by

1 Answer

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 × 0.02 + (0.02)2 = 1 - 0.04 + 0.0004  = 0.9604  (iv) 11 × 9 = (10 + 1) (10 - 1)  = 102 - 12  = 99  (v) 190 × 190 - 10 × 10 = 1902 - 102  = (190 + 10 ) (190 - 10)  = 200 × 180  = 36000  
by

Related questions

Using identities , find the value of -Maths 9th

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

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

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

Evaluate using identities -Maths 9th

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

Evaluate using the identities -Maths 9th

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

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

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

Evaluate using identities -Maths 9th

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

Evaluate using the identities -Maths 9th

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

Using identities solve 103^ -Maths 9th

Description : Using identities solve 103^ -Maths 9th

Last Answer : NEED ANSWER

Using identities solve 103^ -Maths 9th

Description : Using identities solve 103^ -Maths 9th

Last Answer : FRIEND YOUR QUESTION IS NOT CLEAR

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

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

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

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

Last Answer : answer:

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

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 = \(\frac{7}{6}\).

What gives things their separate identities?

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.

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

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.

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?

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.

Last minute explanations on Trig Identities.

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

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

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.

“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 determine the identities of A, B, and C by asking three yes-or-no questions, and each question must be posed to exactly one god. The gods understand English but will answer all questions in their own language. In their unknown language, the words for “yes” and “no” are “da” and “ja,” in some order. You do not know which word means which.” -Riddles

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.

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 determine the identities of A, B, and C by asking three yes-or-no questions, and each question must be posed to exactly one god. The gods understand English, but will answer all questions in their own language. In their unknown language, the words for 'yes' and 'no' are 'da' and 'ja', in some order. You do not know which word means which. So, which questions would you ask to identify each god? And no, it’s not a trick question. As a matter of fact, there are multiple ways to get the correct answer. -Riddles

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.

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

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.

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

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

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

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.

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

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.

What is the definition of social identities?

Description : What is the definition of social identities?

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

Why are the equations w-x plus xw and w plus x-xw 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.

Why are the equations w-x plus xw and w plus x-xw 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.

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

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

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.

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.

Which of the following identities is always zero for static fields? a) Grad(Curl V) b) Curl(Div V) c) Div(Grad V) d) Curl(Grad V)

Description : Which of the following identities is always zero for static fields? a) Grad(Curl V) b) Curl(Div V) c) Div(Grad V) d) Curl(Grad V)

Last Answer : d) Curl(Grad V)

A hybrid cloud combines multiple clouds where those clouds retain their unique identities but are bound together as a unit. a) Public b) Private c) Community d) Hybrid

Description : A hybrid cloud combines multiple clouds where those clouds retain their unique identities but are bound together as a unit. a) Public b) Private c) Community d) Hybrid

Last Answer : Hybrid

Considering areas of concern, external network requirements, internal network requirements is the evaluation of a) Assess the security provisions for cloud applications b) Ensure cloud networks and connections are secure c) Manage people, roles and identities d) Understand the security requirements of the exit process

Description : Considering areas of concern, external network requirements, internal network requirements is the evaluation of a) Assess the security provisions for cloud applications b) Ensure cloud networks and ... Manage people, roles and identities d) Understand the security requirements of the exit process

Last Answer : Ensure cloud networks and connections are secure

Which of the following identities can be most easily used to verify steam table data for superheated steam? (A) (∂T/∂V)S = (∂p/∂S)V (B) (∂T/∂P)S = (∂V/∂S)P (C) (∂P/∂T)V = (∂S/∂V)T (D) (∂V/∂T)P = -(∂S/∂P)T

Description : Which of the following identities can be most easily used to verify steam table data for superheated steam? (A) (∂T/∂V)S = (∂p/∂S)V (B) (∂T/∂P)S = (∂V/∂S)P (C) (∂P/∂T)V = (∂S/∂V)T (D) (∂V/∂T)P = -(∂S/∂P)T

Last Answer : D) (∂V/∂T)P = -(∂S/∂P)T

IOT devices which have unique identities and can perform ________________________. A. Remote sensing B. Actuating C. Monitoring capabilities D. All of the above

Description : IOT devices which have unique identities and can perform ________________________. A. Remote sensing B. Actuating C. Monitoring capabilities D. All of the above

Last Answer : D. All of the above 

-------------- is the planning and implementing of organizational systems and practices that maximize the potential of employees to contribute to organizational goals and develop their capabilities unhindered by group identities such as race, gender, age, or ethnic group. (a) Managing Diversity ; (b) Anthropology ; (d) Bureaucracy ; (d) Remuneration

Description : -------------- is the planning and implementing of organizational systems and practices that maximize the potential of employees to contribute to organizational goals and develop their capabilities unhindered ... group. (a) Managing Diversity ; (b) Anthropology ; (d) Bureaucracy ; (d) Remuneration

Last Answer : (a) Managing Diversity ;

compiler optimization, operator strength reduction uses mathematical identities to replace slow math operations with faster operations. Which of the following code replacements is an illustration of operator strength reduction? (A) Replace P + P by 2 * P or Replace 3 + 4 by 7. (B) Replace P * 32 by P<<5 (C) Replace P * 0 by 0 (D) Replace (P<<4) – P by P * 15

Description : compiler optimization, operator strength reduction uses mathematical identities to replace slow math operations with faster operations. Which of the following code replacements is an illustration of operator strength reduction? (A) Replace P + ... * P or Replace 3 + 4 by 7. (B) Replace P * 32 by P

Last Answer : (B) Replace P * 32 by P

2 . If the mean of the following distribution is 6 . Find the value of p ? x 2 4 6 10 P + 5 f 3 2 3 1 2 -Maths 9th

Description : 2 . If the mean of the following distribution is 6 . Find the value of p ? x 2 4 6 10 P + 5 f 3 2 3 1 2 -Maths 9th

Last Answer : Here's ur answer...

Find the value of x and y if l is parallel to m -Maths 9th

Description : Find the value of x and y if l is parallel to m -Maths 9th

Last Answer : the value should be zero...according to me as I think!!

Find the decimal expansion of 7/22 .Explain why it is taken as the approximate value of pi -Maths 9th

Description : Find the decimal expansion of 7/22 .Explain why it is taken as the approximate value of pi -Maths 9th

Last Answer : 3.1564267467648582474747477647908765434567896542345678765431222245775583585.................................. or 22/7 is the value f pi

What's pie's value -Maths 9th

Description : What's pie's value -Maths 9th

Last Answer : The number π is a mathematical constant, the ratio of a circle's circumference to its diameter, commonly approximated as 3.14159. It has been represented by the Greek letter 'π' since the mid-18th century, though it is also sometimes spelled

If l parallel to m, find the value of x. -Maths 9th

Description : If l parallel to m, find the value of x. -Maths 9th

Last Answer : Pls provide diagram, how can we know where is x

Find the value of k for 5x +2ky =3k, if x =1 and y =1 is its solution. -Maths 9th

Description : Find the value of k for 5x +2ky =3k, if x =1 and y =1 is its solution. -Maths 9th

Last Answer : Given, equation is 5x + 2ky = 3k. On putting x =1 and y =1 in this equation, we get 5(1) + 2k(1) =3k ⇒ 5 + 2k =3k ⇒ 5 = 3k - 2k ⇒ k = 5 Hence, required value of k is 5.

The point (2,3) lies on the graph of the linear equation 3x - (a -1)y =2a -1. If the same point also lies on the graph of the linear equation 5x + (1-2a)y = 3b, then find the value of b. -Maths 9th

Description : The point (2,3) lies on the graph of the linear equation 3x - (a -1)y =2a -1. If the same point also lies on the graph of the linear equation 5x + (1-2a)y = 3b, then find the value of b. -Maths 9th

Last Answer : Given, point (2,3) lies on the line. So, the point (2, 3) is the solution of 3x - (a -1) y = 2a - 1 On putting x = 2 and y = 3 in given solution. ∴ 3 2 - (a-1) 3 = 2a - 1 ⇒ 6 - 3a + 3 = 2a - 1 ⇒ - 3a ... 2 2) 3 = 3b ⇒ 10 - 9 = 3b ⇒ 1 = 3b ⇒ 1 / 3 = b Hence, the value of b is 1 / 3.

In the following equations , verify whether the given value of the variable is a solution of the equation : -Maths 9th

Description : In the following equations , verify whether the given value of the variable is a solution of the equation : -Maths 9th

Last Answer : (i) If we substitute x = 4, we get L.H.S = x + 4 = 4 + 4 = 8 and R.H.S = 2x = 2 x 4 = 8 ∴ L.H.S = R.H.S. Hence, 4 is a solution of x + 4 = 2x. (ii) If we substitute y = 3, we get L.H.S = y - 7 = 3 - ... S = 2u + 7 = 2(5) + 7 = 10 + 7 = 17 ∴ L.H.S = R.H.S. Hence , 5 is a solution of 3u + 2 = 2u + 7

In the following equations , verify whether the given value of the variable is a solution of the equation : -Maths 9th

Description : In the following equations , verify whether the given value of the variable is a solution of the equation : -Maths 9th

Last Answer : (i) f we substitute x = √2, we get L.H.S. = 2x - 3 = 2(√2) - 3 = 2√2 - 3 and R.H.S = x / 2 - 2 = √2 / 2 - 2 ∴ L.H.S. ≠ R.H.S . Hence, √2 is not a solution of 2x - 3 = x / 2 - 2 (ii) If we substitute ... = 7 ∴ L.H.S. ≠ R.H.S . Hence , -1 is not a solution of 24 - 3 (u - 2) = u + 8

If the mean of five observations x, x + 2, x + 4, x + 6, x + 8 is 11, then write the value of x. -Maths 9th

Description : If the mean of five observations x, x + 2, x + 4, x + 6, x + 8 is 11, then write the value of x. -Maths 9th

Last Answer : x + x + 2 + x + 4 + x + 6 + x + 8 / 5 = 11 5x + 20 = 55 5x = 35 ⇒ x = 7

If the median of data (arranged in ascending order) 31, 33, 35, x, x+10, 48, 48, 50 is 40, then find value of x. -Maths 9th

Description : If the median of data (arranged in ascending order) 31, 33, 35, x, x+10, 48, 48, 50 is 40, then find value of x. -Maths 9th

Last Answer : Given data is 31, 33, 35, x, x+10, 48, 48, 50 Number of observation = 8 (even) Median = Value of (8/2)th observation + Value of (8/2+1)th observation / 2 Value of 4th observation + Value of 5th observation / 2 = x + x + 10 / 2 = x + 5 ∴ x + 5 = 40 ⇒ x = 35

The value of 1.999… in the form of p/q, where p and q are integers and -Maths 9th

Description : The value of 1.999… in the form of p/q, where p and q are integers and -Maths 9th

Last Answer : Value of 1.999 is given below .

The value of the polynomial 5x – 4x2 + 3, when x = -1 is -Maths 9th

Description : The value of the polynomial 5x – 4x2 + 3, when x = -1 is -Maths 9th

Last Answer : (a) Let p (x) = 5x – 4x2 + 3 …(i) On putting x = -1 in Eq. (i), we get p(-1) = 5(-1) -4(-1)2 + 3= - 5 - 4 + 3 = -6

If x + 1 is a factor of the polynomial 2x2 + kx, then the value of k is -Maths 9th

Description : If x + 1 is a factor of the polynomial 2x2 + kx, then the value of k is -Maths 9th

Last Answer : (c) Let p(x) = 2x2 + kx Since, (x + 1) is a factor of p(x), then p(-1)=0 2(-1)2 + k(-1) = 0 ⇒ 2-k = 0 ⇒ k= 2 Hence, the value of k is 2.

The value of 2492 – 2482 is -Maths 9th

Description : The value of 2492 – 2482 is -Maths 9th

Last Answer : (d) Now, 2492 – 2482 = (249 + 248) (249 – 248) [using identity, a2 – b2 = (a – b)(a + b)] = 497 x 1 = 497.