Assume that the initial coordinates are (x,y) and that the dilated coordinates are (x',y').
The dilation is therefore:
(x,y) ............> (x',y')
Now, let's assume that the dilation factor is k.
Therefore:
x' = kx
y' = ky
Based on the above, all the student has to do is get the initial coordinates and the final ones and then substitute in any of the above two equations to get the value of k.
Example:
Assume an original point at (2,4) is dilated to coordinates (4,8). Find the dilation factor.
Assume the dilation coefficient is k.
(x,y) are (2,4) and (x',y') are (4,8)
Therefore:
x' = kx .........> 4 = k*2 ..........> k = 2
or:
y' = ky ..........> 8 = k*4 .........> k = 2
Based on the above, the dilation coefficient would be 2.
Hope this helps :)
Answer:
D Point A
Step-by-step explanation:
The vertex is where the two sides of the angles come together
A is the vertex of the angle
Answer:
yes, kimberly would be able to paint 16 ft more after she is done.
Step-by-step explanation:
12×22 =264ft
280-264=16
Answer:
D) y = 1/3-x
Step-by-step explanation:
The average rate of changes for each of the functions between 0 and 1 is 8, 3, 1, and 2. The average rate of change of y = 3x is 2. Therefore the same average rate of change is 2, which is the function y = 1/3-x