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Liono4ka [1.6K]
3 years ago
9

The length of an swimming pool is best measure in ​

Mathematics
1 answer:
tino4ka555 [31]3 years ago
6 0

Answer: yards and meters

Step-by-step explanation:

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Show all work to factor x^4 − 17x^2 + 16 completely.
Dmitrij [34]

Answer:

x^{4}-17x^{2} +16 = (x -1)(x + 1)(x - 4)(x + 4)

Step-by-step explanation:

At first, let us find the first two factors of x^{4}-17x^{2} +16

∵ The sign of the last term is positive

∴ The middle signs of the two factors are the same

∵ The sign of the middle term is negative

∴ The middle signs of the two factors are negative

∵ x^{4} = x² × x² ⇒ first terms of the two factors

∵ 16 = -1 × -16 ⇒ second terms of the two factors

∵ x²(-1) + x²(-16) = -x² + -16x² = -17x² ⇒ the value of the middle term

∴ (x² - 1) and (x² - 16) are the factors of x^{4}-17x^{2} +16

Now let us factorize each factor

→ The factors of the binomial a² - b² (difference of two squares) are

   (a - b) and (a + b)

∵ x² - 1 is the difference of two squares

∴ Its factors are (x - 1) and (x + 1)

∵ x² - 16 is the difference of two squares

∴ Its factors are (x - 4) and (x + 4)

∵ (x -1), (x + 1), (x - 4), and (x + 4) are the factors of (x² - 1) and (x² - 16)

∵ (x² - 1) and (x² - 16) are the factors of x^{4}-17x^{2} +16

∴ (x -1), (x + 1), (x - 4), and (x + 4) are the factors of x^{4}-17x^{2} +16

∴  x^{4}-17x^{2} +16 = (x -1)(x + 1)(x - 4)(x + 4)

8 0
3 years ago
PLEASE HELP<br> 5.<br> If t= -3, then 3t^2 +5t +6 equals<br> A. -36<br> B. -6<br> c. 6 <br> D. 18
Nataliya [291]

Answer:

D

Step-by-step explanation:

substitute t=-3 in the equation

3(-3) squared +5(-3)+6=18

6 0
3 years ago
Read 2 more answers
katie has red 32% of a book if she has to read 80 pages how many more pages does Katie have left to read
galben [10]
In this question, the information that Katie has already read 32% of a book that has a total of 80 pages is of great importance. This information is enough to find the required answer to the question.
Total number of pages Katie has to read = 80
Percentage of pages that Cathie read = 32%
Number of pages that Katie read = (32/100) * 80
                                                     = 256/10
                                                     = 25.6 pages
Then
The number of pages that Katie have left to read = 80 - 25.6
                                                                               = 54.4 pages
So Katie has 54.4 pages left to read.
                                                    
5 0
3 years ago
Jillian is making accessories for the soccer team. She uses 761.78 inches of fabric on headbands for 39 players and 2 coaches. S
Tema [17]

Answer:

Head bands: 18.58 inches of fabric

Wrist bands : 8.51 inches of fabric

Step-by-step explanation:

Jillian is making accessories for the soccer team.

For head bands

She uses 761.78 inches of fabric on headbands for 39 players and 2 coaches.

The total number of people = 39 player + 2 coaches = 41 people

Hence:

41 persons = 761.78 inches of fabric

1 person = x

Cross Multiply

41 × x = 761.78 × 1

x = 761.78/48

x = 18.58 inches

For wristbands

She also uses 331.89 inches of fabric on wristbands for just the players.

Number of players = 39 players

Hence:

39 players = 331.89 inches

1 players = x inches

Cross Multiply

39 × x = 1 × 331.89 inches

x = 331.89 inches/39

x = 8.51 inches

Therefore:

18.58 inches of fabric was used for head bands and 8.51 inches of fabrics was used for wristbands.

5 0
2 years ago
If X = 3 inches, Y = 11 inches, W = 5 inches, and Z = 5 inches, what is the area of the object?
ziro4ka [17]
Hello i am new here how are you doing

7 0
3 years ago
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