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2 years ago

Find the values of a and b such that x^2-x+5=(x-a)^2+b

Mathematics

1 answer:

Romashka [77]2 years ago

5 0

Answer:

a = 0.5 or 1/2

b = 19/4 or 4.75

Step-by-step explanation:

Step 1: Isolate x's

x² - x = -5

Step 2: Complete the Square

x² - x + 1/4 = -5 + 1/4

(x - 1/2)² = -19/4

Step 3: Move everything to one side

(x - 0.5)² + 4.75

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Each side of the regular hexagon below measures 8 cm. What is the area of the hexagon? A hexagon is shown. A triangle with a 60

damaskus [11]

Answer:

The area of the hexagon is A. 96√3 cm²

Step-by-step explanation:

Let's recall the formula of the area of an hexagon, this way:

Area = (3√3/2) * s²

Area = (3√3/2) * 8²

Area = (3√3/2) * 64

Area = 192√3/2

Area = 96√3 cm²

The area of the hexagon is A. 96√3 cm²

7 0

2 years ago

Can 12 be part of more than one fact family? Explain.

Nina [5.8K]

A fact family is a group of math facts using the same numbers. In the case of addition/subtraction, you use three numbers and get four facts. For example, you canform a fact family using the threenumbers 10, 2, and 12: 10 + 2 = 12, 2 + 10 = 12, 12 − 10 = 2, and 12 − 2 = 10.

6 0

3 years ago

Who ever complete this gets brainlist and i WILL remember to give you

Romashka [77]

Answer:

1. 6

2. There will be two middle numbers. 18 and 4. Add them

(18+4)=22

Now divide by 2

(22/2)

Ans. 11

3. There will be two middle numbers. 50 and 30. Add them

(50+30)=70

Now divide by 2

(70/2)

Ans. 35

4. 26

5. 76

6. There will be two middle numbers. 11 and 10. Add them

(11+10)=21

Now divide by 2

(21/2)

Ans. 10.5

7. There will be two middle numbers. 5 and 1. Add them

(5+1)=6

Now divide by 2

(6/2)

Ans. 3

8. There will be two middle numbers. 2 and 4. Add them

(2+4)=6

Now divide by 2

(6/2)

Ans. 3

║

((7, 15, 12, 9, 7))

Mean: =50/5 Ans. 10

Mode: = (7, 7, 9, 12, 15) Ans. 7

Median: Ans. 12

((10, 8, 4, 5, 8, 5, 7))

Mean: =47/7 Ans. 6.71

Mode: = (4 , 5 , 5 , 7 , 8 , 8 , 10) Ans. 5 and 8

Median: (5+8) =13/2 Ans. 6.5

((4 , 8 , 11, 11, 12, 12, 12, 12,)

Mean: 82/8 Ans. 10.25

Mode: Ans. 12

Median= (11+12)= 23/2 Ans. 11.5

((7, 5, 11, 7, 12, 8, 6, 9, 7))

Mean: 72/9 Ans. 8

Mode: (5, 6, 7, 7, 7, 8, 9, 11, 12) Ans. 7

Median: Ans. 12

4 0

2 years ago

<img src="https://tex.z-dn.net/?f=16y%20%5E%7B5%7D%20-%2012y%20%5E%7B4%7D%20%2B%204y%20%5C%5C%20%5C%5C%2064%20a%20%5Ctimes%20%5E

Shkiper50 [21]

Answer:

see explanation

Step-by-step explanation:

Assuming you require to factorise the expressions

16 $y^{5}$ - 12 $y^{4}$ + 4y ← factor out 4y from each term

= 4y(4 $y^{4}$ - 3y³ + 1)

--------------------------------

64ax² - 49ay² ← factor out a from each term

= a(64x² - 49y²) ← this is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

64x² - 49y²

= (8x)² - (7y)²

= (8x - 7y)(8x + 7y)

then

64ax² - 49ay² = a(8x - 7y)(8x + 7y)

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1 year ago

Do Help Me Do It As Soon As Possible

jeka57 [31]

With what, just put your question in the text box

3 0

3 years ago