Answer:
(x, y) ⇒ (x -2, y +2)
Step-by-step explanation:
Reflection across the line y = x+2 has the effect of interchanging x and y and translating by (-2, 2).
Reflection across the line y = x+4 has the effect of interchanging x and y and translating by (-4, 4).
The composition of these transformations is then ...
(x, y) ⇒ ((x +2) -4, (y -2) +4) = (x -2, y +2)
Answer:
Step-by-step explanation:
The sum of the ages of a Mother and her son is 78 , three years ago the mother is five times as old as the son, what is their present ages?
To solve this , let the age of the mother be x and the age of the son be y , from the first statement :
x + y = 78
Three years ago , the mother will be x- 3 and the son will be y - 3 , from the second statement:
x - 3 = 5 ( y-3)
x- 3 = 5y - 15
x - 5y = -12
The resulting equations are
x + y = 78
x - 5y = -12
This is called a simultaneous linear equation , that means it is a linear equation.
The side of a square is xcm , if the difference between the area and the perimeter is 12 , find the legth of its side.
Interpretation:
The formula for the area of a square is
and the perimeter is 4l , from the question , we have
- 4x = 12
This is not a linear equation , it is simply a quadratic equation , so the situation is non linear
Answer:
A' (-1, 2)
Step-by-step explanation:
(x, y) -> (-y, x)
A' (-1, 2)
B' (1, -2)
C' (2, -2)
D' (0, -2)