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 :)
The answer is 10 to the power of 10. Its becase first 10 simplify with the base of the logarithm (gives 1) and then we have 1 multiply times 10.
Y=5 =D!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
for the first one ‘x‘: x = -3/2 y -3
for the first one ‘y’: y = -2/3x-2
for the second one ‘x’: x= 2/3 y + -22/3
for the second one ’y’: y = 3/2 x + 11
Step-by-step explanation:
Answer: -2
Step-by-step explanation: add the -8 to both sides to get X by itself
-10 + 8 = -2
