Explanation

The sentence "I ate too much" is in simple past tense.

Its negative form is made with "did not" + base verb, so "ate" becomes "did not eat."

Explanation

A transmission medium is a channel through which data is transmitted — satellite systems are used to transmit signals over long distances.

LED TV or video camera are devices, not mediums for data transmission.

Explanation

According to Aristotle, reasoning is the process that leads from potential to actual knowledge or sensation — it connects thought with reality.

He believed that through reasoning, the mind interprets sensory data and forms understanding, making it essential to actual experience.

Explanation

Curriculum relevance ensures that what students learn is meaningful and applicable to their current and future lives.

It helps make education practical, engaging, and connected to real-world experiences.

Explanation

"If you don't find opportunities" fits grammatically and contextually — it refers to lacking chances to play or participate.

The sentence then suggests an alternative way to stay active.

Explanation

Training focuses on teaching specific skills for immediate application.

It is practical and skill-oriented, unlike broader instructional systems or designs.

Explanation

Given the quadratic equation x² + 2x - 2 = 0:

Step 1: Apply the quadratic formula

x = (-b ± √(b² - 4ac)) / 2a

Here, a = 1, b = 2, and c = -2.

Step 2: Calculate the roots

x = (-(2) ± √((2)² - 4_1_(-2))) / 2*1

x = (-2 ± √(4 + 8)) / 2

x = (-2 ± √12) / 2

x = (-2 ± 2√3) / 2

x = -1 ± √3

Explanation

Given x = 3 - √8:

Step 1: Find 1/x

To rationalize the denominator, first simplify √8 to 2√2.

x = 3 - 2√2

1/x = 1 / (3 - 2√2)

Multiply numerator and denominator by the conjugate (3 + 2√2):

1/x = (3 + 2√2) / ((3 - 2√2)(3 + 2√2))

= (3 + 2√2) / (9 - 8)

= 3 + 2√2

Step 2: Calculate x + 1/x

x + 1/x = (3 - 2√2) + (3 + 2√2)

= 6

Explanation

In the sentence "This is Pakistani cloth in the market":

"Pakistani" is an adjective describing the noun "cloth" (specifying its origin/type).

"Market"/"Cloth": Nouns.

"This": Pronoun (subject).

Explanation

The ability to communicate clearly is most effectively developed through collaborative work, as it provides:

• Real-time feedback (peers correct misunderstandings).
• Diverse perspectives (exposure to different communication styles).
• Practical negotiation (resolving conflicts verbally).