Explanation

Explanation

The degree of a vertex in a graph is the count of edges connected to it.

It represents the number of direct connections the vertex has.

Explanation

Explanation

To find the ages, solve the equations:  

Let the ages be x and 12 - x.

The product is x(12 - x) = 32.

Solving x^2 - 12x + 32 = 0 gives x = 4 and x = 8

So, the ages are 4 and 8 years.

The elder child is: 8 years.

Explanation

Let's calculate:

√(9) = 3

6 + 3 = 9

√(9) = 3

22 + 3 = 25

√(25) = 5

Explanation

3 candies price is = 75

one candy price is = 75/3  = 25

8 candies price is = 25x8 = 200

Explanation

Cost of one acr =30 Rs

Cost of 5 Acr =30*5

=150 Rs

Explanation

1 Yard is equal to 3 feet

So,

1760 yards = 1760 × 3 = 5280 feet.

Explanation

 Let us assume that Haroon uses X units of petrol everyday.

So the amount of petrol in the tank when it is fuel will be 10X.

If he started using 25% more petrol every day, then the amount of petrol he how uses everyday will be

X (1 +25/100) =1.25x

Therefore, number of days his petrol will how last = Amount of petrol in tank / amount of petrol used everyday = 10x/1.25x = 10/1.25 = 8 Days

Explanation

Lagrange's Mean Value Theorem is a special case of Cauchy's Mean Value Theorem when one function is f(x) and the other is g(x) = x.

Cauchy’s theorem is more general and applies to two functions.