Explanation

The Karnaugh map (K-map) method was introduced by Maurice Karnaugh in 1953.

It is used for simplifying Boolean algebra expressions visually.

Explanation

Let's find the common difference (d) of the arithmetic sequence.

Step 1: Write the formula for the nth term

an = a + (n - 1)d

Step 2: Plug in the values

a = 2, n = 6, an = 27

27 = 2 + (6 - 1)d

27 = 2 + 5d

Step 3: Solve for d

25 = 5d

d = 25/5

d = 5

Explanation

The expression is 2x² + 8x + 8. First, factor out 2:

→ 2(x² + 4x + 4)

Now factor the quadratic:

→ x² + 4x + 4 = (x + 2)(x + 2)

So the full factorization is 2(x + 2)(x + 2).

Explanation

Cyberbullying involves using digital platforms to threaten, harass, or humiliate someone.

It includes actions like sending harmful messages, spreading rumors, or sharing private information online.

Explanation

The sentence "The guards spotted the thief who was running away" correctly connects the two ideas with the relative pronoun "who" to show that the thief was running away at the time of being spotted.

This maintains proper sentence structure and meaning.

Explanation

In Scratch, the Repeat command is used to run a block of code for a fixed number of times.

It is part of the Control blocks category.

Explanation

Supporting sentences explain, expand, or give examples related to the main idea.

They help the reader understand the topic sentence more clearly.

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.