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:
if you got paid seven bucks per lawn, and you mowed nine lawns, you'd have $63 dollars
if you were to mow them for 9 dollars a lawn...
$63 = 9x
63/9 = 7
youd have to mow 7 lawns to get the same amount of money
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
2/3 plus -1/3 is the same as subtracting 1/3 from 2/3.
Answer:
800 ft
Step-by-step explanation:
2/3 minutes = 2/3 min * 60 sec/min = 40 sec
5 ft/sec * 40 sec = 800 ft
Answer:
2.296 km
Step-by-step explanation:
The "meters to kilometers" conversion factor is:
1 km
-------------
1000 m
Multiply 2296.0 m by this factor:
1 km 2296.0 m
------------- * ------------------- = 2.296 km
1000 m 1
