Explanation

To find the center of the circle, rewrite the equation in standard form:

45x² - 60x + 45y² + 36y = -19

Divide by 45:

x² - (4/3)x + y² + (4/5)y = -19/45

Complete the square:

(x - 2/3)² + (y + 2/5)² = ...

The center is (2/3, -2/5).

Explanation

Given the object's speed is 8 m/s after 1 second, we can determine the acceleration due to gravity on this planet is 8 m/s², since it starts from rest (0 m/s).

To find the speed after 3 seconds, we use the formula: speed = initial speed + acceleration × time

Initial speed = 0 m/s (since it's dropped)

Acceleration = 8 m/s²

Time = 3 seconds

Speed after 3 seconds = 0 + 8 × 3 = 24 m/s

Explanation

The Data Link layer is responsible for physical addressing through MAC (Media Access Control) addresses.

The Physical layer deals with transmitting raw bits over the medium.

Explanation

In ASCII code, the capital letter 'A' is represented by the binary 01000001.

Computers use this binary format to store and process text data.

Explanation

روزہ نفس کی تربیت اور پاکیزگی یعنی تزکیہ کا ذریعہ بنتا ہے۔

اس سے انسان میں صبر، تقویٰ اور خود احتسابی پیدا ہوتی ہے۔

Explanation

Hazrat Ruqayyah (RA) was the daughter of Prophet Muhammad (SAW).

She was married to Hazrat Usman (RA), earning him the title "Zun-Noorain" (the one with two lights) after later marrying another daughter, Umm Kulthum (RA), after Ruqayyah's death.

Explanation

Bicycles, cranes, and hand drills use a combination of pulleys and gears to transfer and control motion.

These machines rely on mechanical advantage from both systems for efficient performance.

Explanation

In Anthoceros (a hornwort), the sporophyte lacks a distinct seta (stalk).

Instead, the sporophyte consists of a foot, a capsule, and a central columella.

Explanation

Hydration is the process of adding water (H₂O) to alkenes to form alcohols, usually in the presence of H₂SO₄ as a catalyst.

It follows Markovnikov's rule, where the –OH group attaches to the more substituted carbon.

Explanation

The word “Ability” is the noun form of the adjective “Able”.

Similarly, “Goodness” is the noun form of the adjective “Good”.