Explanation

5^(x + 3) = 25(3x - 4)

Rewrite 25 as 5²:

5^(x + 3) = 5²(3x - 4)

Equate the exponents:

x + 3 = 2(3x - 4)

Simplify:

x + 3 = 6x - 8

Subtract x from both sides:

3 = 5x - 8

Add 8 to both sides:

11 = 5x

Divide by 5:

x = 11/5

Explanation

According to the new Local Government Ordinance 2005, every Union Council was to have 13 seats.

These seats included both general seats and reserved seats for women, peasants, workers, and minorities.

Explanation

An anagram is a word or phrase created by rearranging the letters of another word or phrase (e.g., "listen" → "silent").

It retains all original letters but changes their order to form a new meaningful word.

Explanation

Given:

a + b = 5

a - b = √17

Square both equations:

(a + b)² = 5²

a² + 2ab + b² = 25

(a - b)² = (√17)²

a² - 2ab + b² = 17

Subtract the second equation from the first:

4ab = 8

Divide by 4:

ab = 2

Explanation

The Local Government system introduced by Pakistan's National Reconstruction Bureau in 2001 established a three-tier structure:

1. District Government (Top tier)
2. Tehsil/Town Government (Middle tier)
3. Union Council (Grassroots tier)

This reform was part of General Musharraf's devolution plan under the Local Government Ordinance 2001.

Explanation

• Effective teaching is a function of clear and precise communication, as it ensures that information is conveyed accurately and comprehensively.
• It also involves promoting students' self-learning by fostering curiosity, critical thinking, and independent exploration.

Explanation

A biquadratic polynomial has a degree of four, meaning the highest power of the variable (usually x) is four.

A biquadratic polynomial has the general form: ax⁴ + bx³ + cx² + dx + e, where a, b, c, d, and e are constants.

Explanation

To find the distance from the tip of the pole to the tip of the shadow, use the Pythagorean theorem:

Distance² = Pole height² + Shadow length²

Given:

Pole height = 5 m

Shadow length = 3 m

Distance² = 5² + 3²

Distance² = 25 + 9

Distance² = 34

Distance = √34 ≈ 5.83 m

Explanation

Paraphrasing involves re-writing someone else's words or ideas in your own words while maintaining the original meaning.

It is commonly used to simplify or clarify the content without changing its intended message.

Explanation

حضرت عثمان رضی اللہ عنہ کا چچا انھیں کھجور کی چٹائی میں لپیٹ کر نیچے سے دھواں دیتا تھا۔

حضرت مصعب بن عمیر رضی اللہ عنہ کی ماں کو اُن کے اسلام لانے کی خبرہوئی تو اُس نے ان کا دانہ پانی بند کردیا اور انھیں گھر سے نکال دیا۔