Explanation

The sequence divides each term by 3:

• $486÷3=162$

• $162 ÷ 3 = 54$

• $54÷3=18$

• $18 ÷ 3 = 6$

• $6÷3=2$

Explanation

Mid-term breaking is a method used to factorize quadratic expressions like  ax^2+bx+c.

It involves splitting the middle term into two terms whose product equals a×c.

Explanation

Junk email is also commonly called spam

The most frequent term, derived from a Monty Python sketch

It is electronic junk mail or junk newsgroup postings

Explanation

The area of a trapezium (or trapezoid) is found by averaging the lengths of its two parallel sides (a and b) and multiplying by the perpendicular height (h), using the formula:

Formula

Area = ½ × (sum of parallel sides) × height

Area = ½ × (a + b) × h 

Steps to Calculate

• Identify the lengths of the two parallel sides (a and b) and the perpendicular height (h).
• Add the lengths of the parallel sides (a + b).
• Multiply the sum by the height (h).
• Divide the result by 2 (or multiply by ½) to get the area. 

Explanation

The Pythagoras theorem asserts that in a right-angled triangle, the square of the hypotenuse's length (C) is equivalent to the combined sum of the squares of the lengths of the other two sides (A and B)

Pythagoras Theorem:

It states that in a right-angled triangle:

c = √(a² + b²)

where c is the hypotenuse, and a and b are the other two sides.

This formula helps calculate the length of the hypotenuse.

Explanation

Two polygons are considered similar if and only if both of the following conditions are met: 

All corresponding sides are proportional: The ratio of the lengths of corresponding sides must be the same for all pairs of sides. This constant ratio is called the scale factor.

All corresponding angles are equal (congruent): Each angle in one polygon must have the exact same measure as its corresponding angle in the other polygon. 

Explanation

Red-green color blindness is the most common type of color vision deficiency.

It affects the ability to distinguish between red and green colors.

It is sex-linked, occurring mostly in males due to inheritance on the X chromosome.

There are two main types: protanopia (red deficiency) and deuteranopia (green deficiency).

Explanation

An epidemic is a disease that spreads rapidly across a large number of people in a region or community.

Examples include influenza outbreaks or cholera outbreaks.

Endemic refers to a disease that is constantly present in a particular area.

Explanation

Congruent objects are exactly the same in size and shape.

They can be superimposed perfectly on each other.

Examples include identical triangles, squares, or circles.

Explanation

Hydrochloric acid (HCl) is secreted by the stomach lining.

It activates pepsinogen into pepsin, an enzyme that digests proteins.

HCl also kills harmful bacteria in food and creates an acidic environment.

Proper protein digestion is essential for amino acid absorption in the small intestine.