Answer: The scale factor is 3.
Step-by-step explanation:
1. You kwnow that original rectangle has the following coordinates in its vertices:
(0,0), (3,0), (3,2), and (0,2)
2. After dilation, the rectangle has vertices at (0,0), (9,0), (9,6), and (0,1). Therefore, you can calculate the scale factor as following:
Let's call the scale factor and let's choose one the coordinates of the original rectangle and the same coordinate after dilation:
Original vertex: (3,2) ; Vertex after dilation: (9,6)
Then:
The scale factor is 3.
Given
x^5*k=a .................(1)
x^2*k=b .................(2)
We need to find x^3.
Solution:
On inspection, we note that (1)/(2) gives x^3 on the left hand side, but the division is valid on conditions that x ≠ 0 and k ≠ 0.
So we conclude:
(1) / (2)
=>
=>
on condition that
and