x = -2.
ODZ: x belongs to [-2; 2].
Пошаговое объяснение:
In order to find the domain of definition of the function y = √ (4 - x ^ 2) (quadruple root), we start by considering it.
So, we are given a function whose variable is under the sign of the quadruple root.
In order for the function to have a value, the radical expression must be non-negative.
We need to find a solution to the following inequality:
4 - x ^ 2 ≥ 0;
We apply the formula difference of squares to the left side of the inequality:
(2 - x) (2 + x) ≥ 0;
Looking for points:
2 - x = 0;
x = 2;
2 + x = 0;
x = -2.
ODZ: x belongs to [-2; 2].
Находим длину отрезка АВ
АВ = В -А = 3 2/3 - (-5 1/2) = 9 1/6
Надо разделить на всего частей
5 + 6 = 11 частей
9 1/6 : 11 = 55/6 =5/6 - одна часть
АМ = 5/6 * 5 = 25/6 = 4 1/6 - отрезок АМ
М = А+ 4 1/6 = - 5 1/2 + 4 1/6 = -1 1/3 - ответ
ИЛИ
МВ = 5/6 * 6 = 30/6 = 5 - отрезок МВ
М = В - 5 = 3 2/3 - 5 = - 1 1/3 - ответ
ДОПОЛНИТЕЛЬНО
Координатный луч - в подарок - в приложении.