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Effectus [21]
4 years ago
6

HELP PLEASE!!! The area of a square is (16x2 − 8x + 1) square units. Determine the length of each side of the square by factorin

g the area expression completely.

Mathematics
2 answers:
svetlana [45]4 years ago
8 0

Answer:

Length of each side = (4x-1)

Step-by-step explanation:

You could use the Quadratic formula to solve this, but there is a bit of a logical/intuitive gap you have to jump over at the end to get the answer.

For a straightforward mathematical explanation of what the area is equal to, you need to complete the square. From there you acknowledge that a square's sides are equal to each other and then you'll have your lengths.

My work is in the attachment. Comment with any questions.

Elan Coil [88]4 years ago
7 0

Answer:

4x - 1

Step-by-step explanation:

given area of square :

16x² − 8x + 1

(4x)² -8x + 1

factor the equation

and this is a perfect square trinomial

a² - 2ab + b² = (a-b) (a-b)

(4x)² - 8x + 1 = (4x-1) (4x-1)

we know that the area A = s²    (s stands for side)

substitute,  (4x-1)² = s²

4x - 1 = s

therefore, the side of a square s =  4x - 1

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Zoe and Nora each have a pail with a small
faust18 [17]

Answer:

Zoe's pail is filling faster

Step-by-step explanation:

We can find the slope for the table

m = (y2-y1)/(x2-x1)

   = (7.5-5.7)/ (3-2)

   =1.8/1

 = 1.8 cups / minute

We can find the slope for the line

( 1,4)( 3,7)

m = (y2-y1)/(x2-x1)

    = (7-4)/(3-1)

    =3/2

   =1.5  cups/ minute

The table is filling faster (1.8 > 1.5)

Zoe's pail is filling faster

6 0
3 years ago
Jude says that the volume of a square pyramid with base edges of 7 in and a height of 7 in is equal to the volume of a cylinder
irakobra [83]

Answer:

Jude is not correct

Step-by-step explanation:

The volume of a square pyramid is given as:

V = a^2\frac{h}{3}

where a = base edge and h = height

Hence, the volume of the square pyramid with base edge of 7 in and height  of 7 in is:

V = 7^2*\frac{7}{3}

V = 114.3 in^3 ≅ 114 in^3

The volume of a cylinder is given as:

V = \pi r^2h

where r = radius and h = height

Hence, the volume of a cylinder with radius of 7 in and height of 7 in is:

V = \pi *7^2*7

V = 1077.57 in^3 ≅ 1078 in^3

Since their volumes are not equal, Jude is not correct.

8 0
4 years ago
The number A is about 8 times greater than B . Find the correct value of a and b.
egoroff_w [7]
The awnser is a or c I hope I helped you with your question
8 0
4 years ago
Read 2 more answers
Given that ​f(x)=x^2 -19 and ​g(x)=17 -x, find ​(f-​g)(5​), if it exists.
pashok25 [27]

x^2 - 19 - (17 - x).

<em><u>Distribute -1 to each term of g(x).</u></em>

x^2 - 19 - 17 + x.

<em><u>Replace x with 5.</u></em>

5^2 - 18 - 17 + 5

25 - 18 - 17 + 4

<em><u>Simplify.</u></em>

-6 is your answer.


4 0
3 years ago
Calculeaza rapid,grupand convenabil termenii:
WINSTONCH [101]
<span>Am primit răspunsul 25016312
</span>
5 0
4 years ago
Read 2 more answers
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