We will have the following:
*First: We determine the translation rule:
We have that the point went from (3, -4) to (0, -5), thus the translation rule would be:

Second: We apply the translation rule to the other point to determine it's image, that is:

So, the image of the second point is (5, 6).
Answer:
90.25π
Step-by-step explanation:
The formula for solving the area of a circle is πr².
r is the radius. We can find the radius by splitting the diameter in half: 19/2 = 9.5.
We can apply the area formula and we get π9.5² and the answer is 90.25π.
Answer:
2) -5/7
Step-by-step explanation:
= 
cross-multiply to get:
10 = -14n
-10/14 = n
n = -5/7 (simplified)
Answer:
42 = the number of hats Paula can knit from one yard of yarn
Step-by-step explanation:
The way this problem is written, the constant 42 is the multiplier of yards to get hats. That is, it has units of hats per yard, so represents the number of hats that can be knit from 1 yard of yarn.
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<em>Comment on the problem</em>
It seems more likely that the proportion should be written as ...
y = 42h
or
h = y/42
Then the constant would be the number of yards of yarn required for each hat.
Answer:
50 meters
Step-by-step explanation: