Question

5) |-| : |-2,5|6) |-6, 5| * |2|​

Answer 1

Ответ:

5)|-| : |-2,5|= + : +2,5=2,5

6) |-6, 5| * |2|​= 6,5*2=13

Answer 2

To evaluate the expressions:

1. |-2,5|: The expression |-2,5| represents the absolute value of the complex number -2 + 5i. The absolute value of a complex number is calculated as the distance from the origin (0,0) to the point representing the complex number on the complex plane. It is given by the formula:

|a + bi| = sqrt(a^2 + b^2)

In this case, a = -2 and b = 5. Plugging the values into the formula, we have:

|-2 + 5i| = sqrt((-2)^2 + (5)^2) = sqrt(4 + 25) = sqrt(29)

Therefore, the absolute value of the complex number -2 + 5i is sqrt(29).

2. |-6,5| * |2|: The expression |-6,5| * |2| represents the product of the absolute values of two complex numbers: -6 + 5i and 2.

|-6,5| represents the absolute value of the complex number -6 + 5i. Following the same formula as before:

|-6 + 5i| = sqrt((-6)^2 + (5)^2) = sqrt(36 + 25) = sqrt(61)

|2| represents the absolute value of the complex number 2, which is simply the real number 2.

Therefore, |-6,5| * |2| = sqrt(61) * 2.