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7nadin3 [17]
3 years ago
6

Factorise: 8+(b^2-2)^4-6(b^2-2)^2

Mathematics
1 answer:
Ronch [10]3 years ago
8 0

Answer:

Step-by-step explanation:

Let u = (b^2-2)^2

Now you have 8+u^2-6u = u^2-6u+8

= (u-4)(u-2)

= ((b^2-2)^2-4)((b^2-2)^2-2)

= (b^2-4b)(b^2-4b+2)

= b(b-4)(b-2-\sqrt{6})(b-2+\sqrt{6})

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Wire of length 20m is divided into two pieces and the pieces are bent into a square and a circle. How should this be done in ord
blondinia [14]

Answer:

The radius of the circle ,r= 1.43 m

The length of the side of square ,a= 2.77 m

Step-by-step explanation:

Given that

L= 20  m

Lets take radius of the circle =r m

The total parameter of the circle = 2π r

Area of circle ,A=π r²

The side of the square = a m

The total parameter of the square = 4 a

Area of square ,A'=a²

The total length ,L= 2π r+ 4 a

20  = 2π r+ 4 a

r=3.18 - 0.63 a

The total area = A+ A'

                   A"   =π r² +a²

A"= 3.14(3.18 - 0.63 a)² + a²

For minimize the area

\dfrac{dA"}{da}=0

3.14 x 2(3.18 - 0.63 a) (-0.63) + 2 a = 0

3.14 x (3.18 - 0.63 a) (-0.63) + a = 0

-6.21 + 1.24 a + a=0

2.24 a = 6.21

a=2.77 m

r= 3.18 - 0.63 a

r= 3.18 - 0.63 x 2.77

r=1.43 m

Therefore the radius of the circle ,r= 1.43 m

The length of the side of square ,a= 2.77 m

4 0
3 years ago
Read 2 more answers
If a circle has a radius of 16,and an arc length of 12x, what is the angle measure of the central angle that matches that arc?
GREYUIT [131]

Answer:

135°

Step-by-step explanation:

Using S = rA, where S is arc length, r is radius and A is angle(in radians).

Comparing:

=> 12 = 16A

=> 12/16 = A

=> 3/4 = A

Required radian is 3/4 which is 3/4 * 180° = 135°

4 0
3 years ago
9+3.5g=11-0.5g brainliest to whoever gives steps
kow [346]

Answer:

The answer is <u>g = 0.5</u>

Step-by-step explanation:

1. Your equation is :

<em>9+3.5g=11-0.5g</em>

2. First, multiply both sides by ten

<em>9 * 10 + 3.5 * 10 = 11 * 10 - 0.5 * 10</em>

3. Next we refine the equation

<em>90 + 35g = 110 - 5g</em>

4. Now, lets subtract 90 from both sides

<em>90 + 35g - 90 = 110 - 5g - 90</em>

5. Simplify

<em>35g + 5g = -5g + 20 + 5g</em>

6. We then add 5g to both sides

<em>35g + 5g = -5g + 20 + 5g</em>

7. Simplify again

<em>40g = 20</em>

8. Now, divide both sides by 40

<em>40g/40 = 20/40</em>

9. And finally, simplify once again to get your final answer.

<em>g = 1/2 or 0.5</em>

I hope this helped :)

7 0
3 years ago
Which of these random samples represents a representative sample of the number of students in a middle school who walk to school
Westkost [7]

Answer:

c

Step-by-step explanation:

150 is a good sample of a middle school and students at lunch is random again because most students eat lunch

4 0
3 years ago
HAVE TO TURN IN TODAY PLZ HELP
erma4kov [3.2K]
The area equation is A = \pi (4)^{2}, which when solved equals 50.24.  That's the third answer on your list.   
5 0
3 years ago
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