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bogdanovich [222]
3 years ago
10

Part A: The area of a square is (16x2 − 8x + 1) square units. Determine the length of each side of the square by factoring the a

rea expression completely. Show your work. (5 points) Part B: The area of a rectangle is (81x2 − 4y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)
Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
3 0

Answer:

see below

Step-by-step explanation:

16x^2 − 8x + 1

(4x)^2 -8x +1

Factor

This is a perfect square trinomial

a^2 -2ab +b^2 = (a-b)(a-b)

(4x)^2 -8x +1 = (4x-1) (4x-1)

The area of a square is given by

A = s^2

(4x-1) ^2 = s^2

4x-1 = s

The side length is 4x-1

(81x^2 − 4y^2)

(9x)^2 - (2y)^2

This is the difference of squares

a^2 - b^2 = (a-b) (a+b)

(9x-2) (9x+2)

The area of a rectangle is

A = l*w

(81x^2 − 4y^2)  = (9x-2) (9x+2)

The dimensions are (9x-2) (9x+2)

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Which statement is true about the end behavior of the function represented by the graph?
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3 years ago
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MakcuM [25]

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0

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5 0
2 years ago
If y=x^2 and x=(-8) then y =...
lutik1710 [3]

Answer:

-64

Step-by-step explanation:

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and the x represents -8

Your answer will be -64

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3 years ago
9(2m + 5n + 10) =
Galina-37 [17]

Answer:

B

Step-by-step explanation:

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3 years ago
Read 2 more answers
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