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 two end points of our line are (0,2.5) and (5,5.5). to find our slope we need to find our n difference (higher value - lower value) and our C difference (same as n) which would be 5 and 3. now we put our cost difference over our miles difference and get our slope (5/3). this means we still need out starting point. which is a cost of 2.5. the equation is C = (slope)5/3n + (starting value)2.5
Answer:
Only b is correctly simplified.
Step-by-step explanation:
Answer:
Your answer is 42
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