Explanation

Weary means تھکا ہوا

Lively means توانائی سے بھرا ہوا

Explanation

To find the maximum length of each piece, we need the HCF (Highest Common Factor) of 42, 54, and 64.

HCF of 42, 54, and 64 is 2 meters — the greatest length that divides all three without a remainder.

Explanation

On January 1, 2004, Pervez Musharraf secured a vote of confidence from Pakistan's National Assembly and Senate.

This allowed him to remain President until 2007 (a 5-year term under the 17th Constitutional Amendment).

Explanation

To factorize the equation:

a²b² - a² - b² + a

Rearrange the terms:

a²b² - b² - a² + a

Factor out common terms:

b²(a² - 1) - (a² - a)

Recognize the difference of squares:

b²(a + 1)(a - 1) - (a² - a)

Now, factor by grouping:

(a - 1)(ab² + b² - a)

Explanation

If the sum of all digits of a number is divisible by 3, then the number itself is divisible by 3.

This is a divisibility rule for 3.

Explanation

The phrase "What she had written" follows the correct word order for a noun clause.

It functions as the object of the preposition "by" in the sentence.

Explanation

NaCl (sodium chloride) is a compound.

Because it consists of two different elements (sodium and chlorine) chemically bonded.

Explanation

Explanation

Given y ∝ 1/x², we can write:

y = k/x²

Step 1: Find k

When y = 4 and x = 3:

4 = k/3²

k = 4 × 9

k = 36

Step 2: Find x when y = 9

9 = 36/x²

x² = 36/9

x² = 4

x = 2

Explanation

The Earth's layers include the crust, mantle, outer core, and inner core.

Magma is molten rock found within the mantle and crust, but it is not a distinct layer.