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Yes 3 is the root of the equationas (3)²-7(3)+12 =0

Let P(n) : (7n– 3n) is divisible by 4.

For n = 1, the given expression becomes (71- 31) = 4, which is divisible by 4.

So, the given statement is true for n = 1, i.e., P(1) is true.

Let P(k) be true. Then,

P(k): (7k- 3k) is divisible by 4.

⇒ (7k- 3k) = 4m for some natural number m.

Now, {7(k + 1)- 3 (k + 1)} = 7(k + 1)– 7 ∙ 3k+ 7 ∙ 3k- 3(k + 1) (on subtracting and adding 7 ∙ 3k)

= 7(7k- 3k) + 3k(7 - 3)

= (7 × 4m) + 4 ∙ 3k

= 4(7m + 3k), which is clearly divisible by 4.

∴ P(k + 1): {7(k + 1)- 3 (k + 1)} is divisible by 4.

⇒ P(k + 1) is true, whenever P(k) is true.

Hence, by the principle of mathematical induction, P(n) is true for all n ∈ N.

Once all those pieces are in place, the differentiation goes as follows:d(tanx)/dx

= d{(sinx)/cosx} /dx

= cosx.cosx−sinx.(−sinx)/cos²x(using Quotient Rule)

= (cos²x+sin²x)/cos²x

= 1/cos²x(using the Pythagorean Identity)

=sec²x

y=tanx=sinx/cosxhencedy/dx=cosxd/dxsinx-sinxd/dxcosx/cos^2x=cos^2x+sin^2x/cos^2x=1/cos^2x=sec^2x

the correct answer is -1/5

x= 4(x+10)/5

=> 5x = 4x +50=> 5x-4x = 50=> x = 50

is ka answer x=40 ha

We know 12² = 256

So, √256 = 16

x^2 + 12/35 x + 1/35 = 035x^2 + 12x + 1 = 035x^2 + 7x + 5x + 1 = 07x(5x + 1) + 1(5x + 1) = 0(7x + 1)(5x + 1) = 0x = - 1/7, - 1/5

please answer all my i need them

Let the present age of Ram be x and of Rahim be y.Then,x = 3y givenx+5 = 2 and a half times (y+5) givenputting the value of x in the second equation, we get3y +5 = 5/2 multiplied by (y+5)3y +5 = 5/2 y + 25/23y - 5/2 y = 25/2 - 51/2 y = 15/2so, y = 15/2 multiplied by 2so, y = 15putting this value in first equation,x = 3y , we getx = 3*15 = 45

so Ram is 45 and Rahim is 15 years old.

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it is a triangular figure with base as 50 and height as 30hencearea of shaded region will.be 1/2*base*height=1/2*50*30=750m^2

derivative means differentiation is a process of finding a function that outputs the rate of change of one variable with respect to another variable and physically it refers to tangent to a curve.

5 is your answer than sure

what were lenchos felling when the hail stopped

5 is the correct answer

y + 3/2 =52y+3/2 = 5y = 7/2

u are supposed to know this

ifx =2then 4x+ 54×2+5=13

yes it is correct X=2 is solution of given equation

13 is the right answer bhaiyya jii

if x= 2 then 4x+5 so 4×2+5=13

if x=2 sso=4x+54×2+5=13

13 is the correct answer

13 is the most correct answer

13 is the correct answer

4x+5=13. that,x =24×2+5=1313=13proved that

0is the correct answer

if x=2 the answer is 13 so it is equal

x=2then 4x+54×2+5=13 is right answer.

if x=2than 4x+5=4*2+5=8+5=13

x + 7 = 9subtract 9 on both sidesx + 7 - 9 = 9 -9x -2 = 0x = 2

bhai me check kar raha tha

(z+w)/x = (-0.5 + -2)/3= -2.5/3= -5/6

|4 5||m 3| = 22

4*3 - 5m = 225m = 12 - 225m = - 10m = - 10/5 = - 2

too many questions found.........

u Mark on right answer

X and y are POSITIVE so >0..2x+y=40..x can take any value from 1 to 19.. as soon as x is 20, y becomes 0..So solutions are 19..(x, y) can be (1,38);(2,36);(3,34)(4,32);(5,30)......(19,2)So ans is 18

-22-(-23-44)= -22+67=45

-17- - 61=44-23-44=-67-22+67=45

2x +3y =8 -----(1)4x+6y. =7 ------(2)

Multiply equ (1) by 2.

4x + 6y =16 4x +6y =- 7 ---------------------- 0. = 9.

So, this equation has no solution .

7n+5=19;7n=19-5;7n=14;n=2

7×2+5=1914+5=1919=19

35-15n= n+332=16nn=2 is the correct answer of the given question

Let the digit in one's place be x and tens place be (12-x)

therefre the number will be =10(12-x)+x

120-10x+x

120-9x

120=9x

the number obtined bby interchangin the number will be

10x+12-x

=9x+12

as per given condition,

9x+12=54+120-9x

18x=162

x=9

the number will be

120-9x

120-9(9)

=39

thanks

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