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:
see the explanation
Step-by-step explanation:
Let
x ----> number of tennis balls
y ----> number of tennis rackets
we know that
To find out the ratio of tennis balls to tennis rackets, divide the number of tennis ball by the number of tennis rackets
In this problem we have
see the model in the attached figure N 1
so
This is the equation of a linear direct variation
The relationship between the variables x and y is proportional
see the model in the attached figure N 2
This is the 2nd time I've posted this answer... not sure why it didn't go through the first time. Let me know if you have questions. :)
<u>The apothecary system</u><u> uses the minim as the basic unit of liquid measure and the grain as the basic unit of solid measure.</u>
What is apothecary measurement?
- The apothecary system was once a system of weights and measurements used for drug prescription and dispensing.
- A pound was divided into 12 ounces in the English version, which also divided an ounce into eight drams or drachms and a dram into three scruples, or 60 grains.
What are the units of the apothecary system?
The grain, scruple (20 grains), dram (3 scruples), ounce (8 drams), and pound—a ancient scale of weight used in the British Isles for measuring and distributing pharmacological goods (12 ounces).
Learn more about apothecary system
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Ummm sorry cant answer that
