Explanation

A derived quantity is obtained from fundamental quantities (like mass, length, and time).

Force = Mass × Acceleration (Newton’s Second Law), so it is derived from mass, length, and time.

Explanation

Length is a base quantity in the International System of Units (SI), with the unit meter (m).

Volume and Area are derived quantities, calculated using base quantities like length.

Explanation

It is impossible without the fundamental resources of water, energy (primarily from sunlight), and nutrients (food).

These resources support essential processes like cellular functions, growth, and maintaining body temperature.

Beyond these, living things also require a suitable habitat that provides shelter

And the appropriate temperature and environment for their survival. 

Explanation

Given:  

x² − x = 12  

y² − y = 12  

So both equations are equal:  

x² − x = y² − y  

⇒ x² − x − y² + y = 0  

⇒ (x² − y²) − (x − y) = 0  

⇒ (x − y)(x + y − 1) = 0  

Now set each factor to zero:  

1. x − y = 0 → ⇒ x = y  

2. x + y − 1 = 0 → ⇒ x + y = 1

Now plug into original equation to find values:

Try solving x² − x = 12  

⇒ x² − x − 12 = 0  

⇒ (x − 4)(x + 3) = 0  

⇒ x = 4 or x = -3

Case 1: x = 4  

If x + y = 1 ⇒ y = -3  

Then x − y = 4 − (−3) = 7

Case 2: x = -3  

If x + y = 1 ⇒ y = 4  

Then x − y = -3 − 4 = −7

So possible values of x − y = 0 or ±7

Explanation

5x - 4 = 4x - 4  

Value of x

Solution:

Subtract 4x from both sides:  

5x - 4x - 4 = -4  

x - 4 = -4  

Add 4 to both sides:  

x = 0  

Explanation

At STP, 1 mole of an ideal gas = 22.4 liters  

So, 2 moles = 2 × 22.4

= 44.8 liters

Explanation

To find the greatest prime factor of 87:

Step 1: Factorize 87

87 = 3 × 29

Step 2: Identify the prime factors  

- 3 is a prime number  

- 29 is a prime number

Explanation

- Cost of 1 egg = 60 ÷ 9 = Rs. 6.67

- Cost of 3 eggs = 6.67 × 3

= Rs. 20

Explanation

To find 15% of 168:

= (15/100) × 168  

= 0.15 × 168  

= 25.2

Explanation

(7/8) × 96 = 84