Explanation

Step 1: Add the two equations to eliminate y

(x + y) + (x - y) = 10 + 10

2x = 202x = 10

Step 2: Solve for x

x = 20/2x = 10

Explanation

Centripetal force is any force that keeps an object moving in a circular path, directed toward the center of the circle.

Tension in a string, gravitational force (like planets orbiting), and friction (like a car turning) can all provide centripetal force.

Explanation

For a polyatomic gas, Cv is typically 3R, accounting for translational and rotational degrees of freedom.

This value can increase with temperature as vibrational modes become excited, contributing to the specific heat.

Explanation

Let's denote the mass and radius of both objects as M and R, respectively.

For a thin-walled cylinder about its central axis, I_cylinder = MR².

For a solid sphere about its diameter, I_sphere = (2/5)MR².

The ratio is I_cylinder / I_sphere = MR² / ((2/5)MR²) = 5/2.

Explanation

A quadratic equation has the form ax² + bx + c = 0, and it typically has two roots. 

These roots can be real or complex, and they can be distinct or repeated (in the case of a double root).

Explanation

Explanation

Realist Curriculum is grounded in the belief that reality exists independently of human perception.

It emphasizes teaching factual knowledge and objective truths derived from the external world.

Explanation

Passage

Hazrat Muhammad (PBUH) knew that goodwill and all the actions of people were necessary for an Islamic state. Hazrat Muhammad (PBUH) knew tolerance was necessary to bring different communities together. With all these objectives in mind, Hazrat Muhammad (PBUH) drafted a charter which is generally known as the Medina Charter.

1. The first sentence of the paragraph is in _____?

Past Tense

2. Communities is a/n ____?

Noun

3. Necessary is a/n _____?

Adjective 

Explanation

The Axiom of Choice is a fundamental principle in set theory that states you can select an element from each set in a collection of nonempty sets, even without a specific rule.

It is essential for many proofs in mathematics but is independent of other axioms of set theory.

Explanation

Creativity involves producing ideas or products that are both original and useful/adaptive.

It reflects innovative thinking and problem-solving skills.