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:
$1002516150
Step-by-step explanation:
200200200 + 404040 - 101010 = 200503230
200503230 x 5 = 1002516150
First, we should convert all of the measurements into one unit.
Let's convert everything into fluid ounces since it's the smallest unit in the American Liquid Measurement system.
They had 6 1/2 quarts of skim milk.
6 1/2 quarts=208 fluid ounces.
They had 1 pint of whole milk, which is equal to 16 fluid ounces.
Next, we add both numbers 208, and 16, together.
208+16=224.
So far Ice-Cream Palace has 224 fluid ounces of milk.
Next, we'll convert 6 gallons into fluid ounces.
6 gallons=768 fluid ounces.
Next, we subtract 224 from 768.
768-224=544.
That means they need to buy 544 ounces of milk.
All we have to do now is convert 544 into pints.
544 ounces= 34 pints.
They still need to buy 34 pints of milk.
I hope you have a wonderful day! :D
Answer:
3x-y=2
Step-by-step explanation:
y=3x-2
(y-3x)=-2
-3x+y=-2
change the signs on both sides
3x-y=2
=3x-y=2
