Answer:
The formula is ⇒
Step-by-step explanation:
∵ The sequence is -1/2 , -3/10 , -9/50 , -27/250
∵ (-3/10) ÷ (-1/2) = 3/5
∵ (-9/50) ÷ (-3/10) = 3/5
∴ It is a geometric sequence
∴ The formula is Tn = ar^(n - 1)
Where a is the first term , r is the constant ratio between each two consecutive terms and n is the position of the number
∴ Tn = -1/2 ( 3/5)^(n - 1)
∴
We can solve this by using the formula:
(x, y) (x + a, y + b) = (5,-4) (-2,1)
So, plugging in the values and solving for a and b,
5 + a = -2
a = -8
-4 + b = 1
b = 5
Therefore, the translation is
(x,y) (x - 8, y +5)
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Nine tenths of a dollar is ninety cents