Explanation

$$lim_{x to a} (2x + 4)$$

Assuming the question meant:

lim​ x→3 ​(2x+4)

Then:

$$lim_{x to 3} (2x + 4) = 2(3) + 4 = 6 + 4 = 10$$x→3 (2x+4)=2(3)+4=6+4=10

Explanation

The transpose of a row matrix is a column matrix.

Similarly, the transpose of a column matrix is a row matrix.

In essence, when transposing a matrix, you swap rows with columns.

So, a matrix with one row becomes a matrix with one column, and vice versa. 

Explanation

The transpose of a row matrix is a column matrix.

Similarly, the transpose of a column matrix is a row matrix.

In essence, when transposing a matrix, you swap rows with columns.

So, a matrix with one row becomes a matrix with one column, and vice versa. 

Explanation

• A Row Matrix has only one row and multiple columns.

  $$[1 1 1] quad text{→ 1 row, 3 columns}$$

• Identical Matrix (probably meant "Identity Matrix") → has 1s on the diagonal and 0s elsewhere (square matrix).

Explanation

A complex number is written in the form:

$$a+bi$$

• a is the real part

• b is the imaginary part

So in 2 − 4i:

• Real part = 2

• Imaginary part = −4

Explanation

 A complex number a + bi is considered purely imaginary if its real part, 'a', is equal to zero.

In other words, a pure imaginary number has the form bi, where 'b' is a real number. 

Explanation

 The property used in the equation a + r = r + a is the commutative property of addition.

This property states that the order in which numbers are added does not affect the sum.

In other words, if you have two numbers, 'a and 'r', adding 'a' to 'r' will result in the same answer as adding 'r' to 'a'. 

Explanation

Terminating and recurring decimals both represent rational numbers.

Terminating decimals have a finite number of digits after the decimal point,

Recurring decimals have an infinite number of digits that repeat in a pattern.

Explanation

The set of positive integers is commonly referred to as the natural numbers or counting numbers

It is denoted by the symbol N or Z+.

This set includes all whole numbers greater than zero: 1, 2, 3, and so on. 

Explanation

The set of all natural numbers, together with zer,o is the set of whole numbers