Answer:
Solving the inequality we get:
Step-by-step explanation:
We need to solve and graph the inequality
Solving:
Step 1: Multiply 3 with terms inside the bracket
Step 2:Subtracting 51 on both sides
Step 3: Subtract 14x on both sides
Step 4: Divide both sides by 7
Solving the inequality we get:
The graph is attached in the figure below.
Given:
The red figure dilated with a scale factor of and the center of dilation is at the point (4,2) to get the green figure.
To find:
The coordinates of C' and A.
Solution:
If a figure is dilated with a scale factor k and the center of dilation is at the point (a,b), then
In given problem, the scale factor is and the center of dilation is at (4,2).
...(i)
Let the vertices of red triangle are A(m,n), B(10,14) and C(-2,11).
Using (i), we get
Therefore, the coordinates of Point C' are C'(2,5).
We assumed that point A is A(m,n).
Using (i), we get
From the given figure it is clear that the image of point A is (8,4).
On comparing both sides, we get
And,
Therefore, the coordinates of point A are (16,8).