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Len [333]
3 years ago
11

K(1,0), L(4,1), M(1,4), N(-2, 3) 90% counterclockwise rotation

Mathematics
1 answer:
docker41 [41]3 years ago
5 0

Answer:

K (0,1)

L (-1,4)

M (-4,1)

N (-3,-2)

Step-by-step explanation:

When you rotate a figure 90 degrees counterclockwise about the origin, the points all change from (x,y) to (-y,x). Therefore the points would go from: (answers on right side)

K (1,0) ---> K (0,1)

L (4,1) ---> L (-1,4)

M (1,4) ---> M (-4,1)

N (-2,3) ---> N (-3,-2)

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Mrs. Speas has $138 in her bank account during Week #1. At the end of each week, she deposits $55 into her bank account. What is
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The first term is 138

The difference is 55

The iterative rule for the amount of money Mr Speas has after n weeks is

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During the first week she has $138 in his bank account. At the end of each week she deposited $55 into her bank account.

The first term will be 138 .

The common difference is 55 because her bank always increase by $55 dollars every week. The sequence will be 138, 193, 248, 303, 358...…

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The iterative rule for the amount of money Mr Speas has after n weeks can be represented  below

n = number of weeks

a = first term = 138

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Using AP formula,

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sₙ = n/2 (2(138)+ (n - 1)55)

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sₙ = n /2(221 + 55n)

sₙ = 55/2 n² + 221/2 n

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