First month's profit of the company = $2,400.
After the first month, the profit is modeled by the function
J(t) = 2.5t + 1,250, t is the number of months after the first month the shop opened.
Now, P(t) describes the total profit earned by the company.
So, P(t) = (Profit earned from first month) + (Profit earned from remaining 11 months of the year)
= 2400 + (2.5t + 1250)
<u><em>= 2.5t + 3650</em></u>
Hence, total profit earned for the year = 2.5t + 3650.
Sum of interior angles=(n-2)180
3060=(n-2)180
3060/180=n-2
17=n-2
n=17+2
n=19..
If you are moving the center of circle 2 to the the center of circle 1, then the translation rule is (x,y) ---> (x+4, y+10).
Note how x = 1 turns into x = 5. So we add 4
Also, y = -2 turns into y = 8. We add 10
The scale factor to turn the radius r = 4 into r = 8 is 2. Basically we double the radius. We can divide the two radii to see 8/4 = 2
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Summary:
To go from circle 2 to circle 1, we apply these two transformations
translation: (x,y) ---> (x+4, y+10)
dilation: scale factor 2
note:
if you want to go backwards, go from circle 1 to circle 2, then undo the transformations above
Answer: 14 right and 8 up, or (14, 8)
Step-by-step explanation:
To find the distance, you can subtract or add numbers.
So from (-6, 2) to 0, I have to move right 6 spaces to get (0, 2).
Then, I must move 8 to the right to get (8, 2).
From here, I continue to move up 8 since we want to get to (8,10). So in all, you should move 14 spaces to the right and 8 up (14, 8).