Answer:
The transformation of 
to 
consists in a vertical translation. The new equation is 
.
Step-by-step explanation:
Let 
. We proceed to make the required transformations on , which consists in one vertical translation, 3 units in the -y direction. That is to say:
(1)
Then, the transformation of to consists in a vertical translation. The new equation is .
Answer:
<h3>6 degrees</h3>
Step-by-step explanation
Find the diagram attached. In Line geometry, there is a theorem that states that the sum of the adjacent interior angles is 180 degrees. According to the diagram, the adjacent interior angles are 7x- 15 and 24x + 9.
The sum of this angles must give 180 degrees as shown;
7x-15 + 24x + 9 = 180
7x+24x-15+9 = 180
31x-6 = 180
31x = 180+6
31x = 186
x = 186/31
x = 6
Hence the value of x is 6 degrees
Answer:
51 square units
Step-by-step explanation:
Area of a parallelogram = base x height
⇒ area = 4 x 3 = 12 square units
Area of a rectangle = width x length
width = √(2² + 3²) = √13
length = √(9² + 6²) = √117
area = √13 x √117 = 39 square units
Total area = 12 + 39 = 51 square units
Answer:
(8, - 2 )
Step-by-step explanation:
A translation of 4 units right means add 4 to the x- coordinate
A translation of 5 units up means add 5 to the y- coordinate
(x, y ) → (x + 4, y + 5 ) ← translation rule, then
(4, - 7 ) → A'(4 + 4, - 7 + 5 ) → A'(8, - 2 )
