Explanation

• The given equation (x + 2)^2 = x^2 + 4x + 4 is an identity because it is true for all values of x.
• An identity is an equation that is always true, and this equation is simply the result of expanding the left-hand side using the binomial theorem.

Explanation

A perpendicular line forms a 90° angle with a given line, plane, or surface.

This indicates that the two lines are at right angles to each other.

Explanation

The correct answer is: n.

A cyclic permutation of length n is a permutation that shifts each element one position to the right (or left) in a cycle. For example, the cyclic permutation (1 2 3 4 5) maps 1 to 2, 2 to 3, 3 to 4, 4 to 5, and 5 to 1.

The order of a cyclic permutation of length n is n, because it takes n applications of the permutation to return to the original arrangement.

Explanation

The group G = {-1, 1, -i, i} is a multiplicative group, and the order of an element a in G is the smallest positive integer n such that a^n = 1.

For -i, we have:

(-i)^2 = -1

(-i)^3 = i

(-i)^4 = 1

So, the order of -i is 4.

Explanation

Given:

Two angles are 36° and 44°.

The sum of angles in a triangle is 180°.

Let's find the third angle:

Third angle = 180° - (36° + 44°)

= 180° - 80°

= 100°

Explanation

• The vector ax(bxc) is the cross product of vector a and the cross product of vectors b and c.
• This resulting vector is perpendicular to vector a and vector (bxc), which is parallel to vector c.
• Therefore, ax(bxc) lies in the plane containing vectors a and c.

Explanation

Explanation

Explanation

If a set A has m elements and set B has n elements,

then the number of functions possible from A to B is n^m.

Explanation

An isosceles right triangle is a right-angled triangle whose base and height (legs) are equal in length.

ND-21-5-2023