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My name is Ann [436]
3 years ago
14

Please help me asap!! anything helps I'm really lost in this question if you know part of the question pleas answer. thank you!&

lt;3​

Mathematics
1 answer:
jekas [21]3 years ago
3 0

1.

term number        sequence A        sequence B

        0                          -1                          ¹/₂

        1                            2                          1

        2                           5                          2  

        3                           8                          4

        4                           11                          8

        5                          14                         16    

        6                          17                         32

2.

Every new term of sequence A is produced by adding 3 to the previous term

3.

Every new term of sequence B is produced by multipling the previous term by 2

4.

In a geometric sequence each term is found by multiplying the previous term by a constant. It means the sequence B is geometric, the constant is 2.

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The dimensions of a square are altered so that 8 inches is added to one side while 3 inches is subtracted from the other. The ar
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Answer

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To prove

Let us assume that the original length of the square be x.

Formula

Area\ of\ rectangle = Length\times Breadth

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The dimensions of a square are altered so that 8 inches is added to one side while 3 inches is subtracted from the other.

Length becomes  = x + 8

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The area of the resulting rectangle is 126 in²

Put in the formula

(x + 8) × (x - 3) = 126

x² -3x + 8x -24 = 126

x ²+ 5x = 126 +24

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x² + 15x - 10x - 150 = 0

x (x + 15) -10 (x +15) =0

(x + 15)(x -10) =0

Thus

x = -15 , 10

As x = -15 (Neglected this value because the side of the square cannot be negative.)

Therefore x = 10 inches be the original side of the square.






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