What transformation is represented by the rule (x, y)→(−x, −y) ? reflection across the x-axis rotation of 180° about the origin rotation of 90° counterclockwise about the origin reflection across the y-axis

The transformation rule (x,y) -> (-x,-y) is a

The rule for a reflection across the x-axis is (x,y) -> (x,-y).The rule for a rotation of 90º counterclockwise about the origin is (x,y) -> (-y,x).A rotation of 180º about the origin has rule (x,y) -> (-x,-y), being the answer to this question.The rule for a reflection across the y-axis is (x,y) -> (-x,y).

A similar problem is given at link

Rotation of 180° about the origin.

Step-by-step explanation:

Given :  (x, y)→(−x, −y).

To find : What transformation is represented by the rule.

Solution : We have given that (x, y)→(−x, −y).

By the Rotation  rule of 180° about origin is  (x, y) → (−x, −y).

Coordinates of x change in to  -x  and coordinates of y change in to -y .

Example : is f(x) = ( 2 ,3) if we rotate it 180° about origin then f(x) = (-2,-3).

Therefore, rotation of 180° about the origin.

The answer is No.4

Step-by-step explanation:

Giventhat the formula of a cube is, V = x³ where x determine the length of the edge of the cube. By using this formula, you may find out the volume of a rubix cube :

x = 5.7cm

V = 5.7³

= 185.193cm³

The question ask us to find the volume of 2 combined cubes so, we can just multiply it by 2 :

V = 185.193 × 2

= 370.386cm³