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 :)
All you do is divide by 10
there are 189 whole dimes
Answer:
The temperature had dropped by 15 degrees (-15 if you don't want it positive.)
Step-by-step explanation:
Okay!
This is a subtraction problem.
If it started off at 10, and went down to -5, we can do |-5 - 10| (I am using the two bars because it said change.) And we get 15!
Answer:
Step-by-step explanation:
<u>This a form of the proportional relationship:</u>
- f(x) = kx, where f(x) - total cost, k- cost of each item, x - number of items
<u>We have:</u>
<u>It means:</u>
- Total cost of 5 cupcakes is $12
The account balance would be $9,293.12 or 11 cents.
