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GIVEN [1 / 1+a^(n-m)] + [1 / 1+a^(m-n)]

=[1/1+(a^n/a^m)]+[1/1+(a^m/a^n)]

=[1/(a^m+a^n/a^m)]+[1/(a^n+a^m/a^n)]

=[a^m/(a^m+a^n)]+[a^n/(a^n+a^m)]

=[a^m+a^n]/[a^m+a^n]

=1so answer is 2

Number of shares=560Face Value of 1 share=Rs.25Dividend on 1 share=Rs9/100(25)= Rs.2.25i. Dividend on 560 shares=Rs.2.25×560=Rs.1260ii. Rate of interest=1260/(30×560)×(100%)= 7.5%

let noms be x ans x+2x²+(x+2)²=290x²+x²+4x+4=2902x²+4x+4-290=02x²+4x-286=0x²+2x-143=0x²+13x-11x-143=0x(x+13)-11(x+13)=0(x-11)(x+13)=0x=11,-13

required no.s are 11 and 13

Let one of the odd positive integer be xthen the other odd positive integer is x+2their sum of squares = x² +(x+2)² = x² + x² + 4x +4 = 2x² + 4x+ 4Given that their sum of squares = 290⇒ 2x² +4x + 4= 290⇒2x² +4x = 290-4 = 286⇒ 2x²+4x -286 = 0⇒ 2(x² +2x - 143) = 0⇒ x² + 2x - 143 = 0⇒ x² + 13x - 11x -143 = 0⇒ x(x+13) - 11(x+13) = 0⇒ (x-11) = 0 , (x+13) =0Therfore , x = 11 or -13We always take positive value of xSo , x = 11 and (x+2) = 11 + 2 = 13Therefore , the odd positive integers are 11 and 13 .

René Descartesis the founder of coordinate geometry.

The coordinate geometry was introduced by rene

When two dice are thrown

Then, Total outcomes= 6*6 = 36

Possible outcomes that sum of number is greater than 8 are (4,5), (5,5), (5,6), (6, 6), (5,4), (6,5)

Therefore, Probability of getting sum greater than 8 = 6/36 = 1/6

a)Titanium is called strategic metal as it can be use in producing space craft , aircraft and missiles. It is the fourth most abundant metal on the earth. Since it is resistant to salt water and acid corrosin it is used in making durable corrosion resistant alloys.

b)lons are electrically charge particle formed when atoms lose or gain electrons. They have the same electronic structure as noble gases metal atoms from positive ions why non metal atoms from negative ions day strong electrolytic forces of attraction between oppositely charged ions are called ionic bonds. iconic compounds have high melting and boiling points how I inform ions are electrically charged particles from when atoms does our brain electron this loss of games Lives a complete highest energy level so the electronic structure of an iron is the same as that a noble gas such as Helium neon Argon metal atoms are non metal atoms go in opposite direction when the iconics metal atom the electron electron in their highest energy level and become positively charged ions. non metal atoms gain and electron are electrons from another item to become negatively charged ions.

c)Aluminum is more reactive than iron but it doesn't corrode It is because of aluminium oxide layer. Aluminium outer surface layer is oxidized whenever it came in contact with the air and so result in aluminium oxide layer which is resistive in nature and remain attached to it. So due to this it act as protective layer to inner aluminium to get oxidized with air while in iron as the surface layer of iron is oxidized, it form rust which is not remain attached to iron and fall off exposing the inner iron for further oxidation.

make chapati in 25 minutes 15minutes cook dal so total time is i think 25

ya 40minutes Mecook are both

If these numbers are consecutive odds, they have a difference of 2.

So you can represent them by x-1 and x+1

Now (a+b)*(a-b)=a^2-b^2

so (x+1)*(x-1)=x^2-1^2=x^2-1

So add 1 to the product and you get the square of the number between the two.

195+1=196sqrt(196)=14

So the numbers are 13 and 15.

thank you but i didn't understand the method

If the product of two consecutive positive odd integers is 225,what is the largest integer

thanks

Let there be a rectangle whose length is 10 cm and breadth is 8 cm.Area of rectangle = L*B= 10*8= 80 sq cmPerimeter of rectangle = 2(L+B)= 2(10+8)= 2*18 = 36 cm

Now,Let there be another rectangle whose length is 20 cm and breadth is 4 cm.Area = 20*4= 80 sq cmPerimeter = 2(20+4)= 2*24= 48 cmSo, in the above examples, area does not increase when the perimeter increases.

thanks

Can you show how to solve the equations?

Let pens be xAnd pencils be ySo, 37x+53y=320 53x+37y=400By simultaneous equation; (37x+53y=320)37 (53x+37y=400)531369x - 1961y =118402809x - 1961y =12100 on subtracting both equation-1440x=-260X=260/1440X=.1805So,cost of 2 pens=2x=2*.1805=.3611 rs

Odd number can written ad 2n + 1option (D) is correct

Unstable equilibrium

Explanation:As the surface is smooth so there is no friction, hence unstable.

Convex = unstableConcave = stableStraight line = netural

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Let the cost of one pen be x.5x - 3 = 32 5x = 35 x = 7∴ Cost of one pen = ₹7Each would have to spend ₹7 if they bought the pens separately.

yes your right, it's really works

thanx

25 km Is right answer

Standard form will be (d)

The amount of flour required to make a loaf of bread is 5 1/4.

Therefore to make 3 loaves of bread, one will require:

5 1/4 × 3 = 21/4 × 3= 63/4= 15 3/4

Steve has 20 cups, therefore what is left is:20 - 15 3/4 = 4 1/4

What is left is 4 and 1/4 cups of flour. This is enough to make the cake that requires 3 3/4 cups.

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Let the cake eaten by hammad=x(2/5)+(3/8)+x=1(31/40)+x=1x=1-(31/40)x=9/40

Cake eaten by jacob=2/5=0.4Cake eaten by sandeep=3/8=0.375Cake eaten by Hammad=0.225

Therefore Jacob ate the biggest share of cake.

thanks

use the identity (a+b)^2= a^2 + 2ab + b^ 2so (x+3)(x+3)=(x+3)^2=> x^2+ 6x + 9 ( answer)

thanks for the answer

The first 40 positive integers divisible by 6 are 6,12,18,....... upto40 terms

the given series is in arthimetic progression with first term a=6 and common difference d=6

sum of n terms of an A.p is

n/2×{2a+(n-1)d}

→required sum = 40/2×{2(6)+(39)6}

=20{12+234}

=20×246

=4920

thanks