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Murljashka [212]
2 years ago
10

X²- 12x + a = (x-b)² Find the Value of a and value of b ​

Mathematics
1 answer:
maxonik [38]2 years ago
5 0

Answer:

a = 36 , b = 6

Step-by-step explanation:

expand the right side using FOIL and compare coefficients with like terms on left side.

(x - b)²

= x² - 2bx + b² , compare to x² - 12x + a , then

- 2b = - 12 ( divide both sides by - 2 )

b = 6

and a = b² = 6² = 36

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Answer:

2by8 of marians garden

Step-by-step explanation:

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3 years ago
Given: △KLM, LM=20 3
egoroff_w [7]

Split the triangle into a 30-60-90 triangle. Since you have LM from that triangle, you can figure out the other sides. Then, using the leg from that triangle, the one next to it is a 45-45-90 triangle, meaning it's isosceles.

KM = 30 + 10√3

KL = 10√6

(sorry i'm not too sure if my "reasons" for statement/reason is correct)

6 0
2 years ago
Read 2 more answers
A new movie is released each year for 8 years to go along with a popular book series. Each movie is 5 minutes longer than the la
Georgia [21]

Answer:

The total length of all 8 movies is 740 minutes

Step-by-step explanation:

* Lets revise the arithmetic series

- In the arithmetic series there is a constant difference between  

 each two consecutive numbers  

- Ex:  

# 2 , 5 , 8 , 11 , ………………………. (constant difference is 3)

# 5 , 10 , 15 , 20 , ………………………… (constant difference is 5)

# 12 , 10 , 8 , 6 , …………………………… (constant difference is -2)

* General term (nth term) of an Arithmetic series:  

- If the first term is a and the common diffidence is d, then

 U1 = a , U2 = a + d , U3 = a + 2d , U4 = a + 3d , U5 = a + 4d  

 So the nth term is Un = a + (n – 1)d, where n is the position of the

  number in the series

- The formula to find the sum of n terms is

  Sn = n/2 [a + l] , where l is the last term in the series

* Lets solve the problem

- A new movie is released each year for 8 years to go along with a

 popular book series

∴ n = 8

- Each movie is 5 minutes longer than the last

∴ d = 5

- The first movie is 75 minutes long

∴ a = 75

- To find the total length of all 8 movies find the sum of the 8 terms

∵ Un = a + (n - 1)d

∵ The last term l is u8

∵ a = 75 , d = 5 , n = 8

∴ l = 75 + (8 - 1)(5) = 75 + 7(5) = 75 + 35 = 110

∴ l = 110

∵ Sn = n/2 [a + l]

∴ S8 = 8/2 [75 + 110] = 4 [185] = 740 minutes

* The total length of all 8 movies is 740 minutes

7 0
2 years ago
Please help me don't understand :(
qaws [65]

Answer:

I think it's the last one. Sorry if I'm wrong

8 0
3 years ago
Make n the subject of m= 4n-gn+1
Misha Larkins [42]

Answer:

n = (m-1)/(4-g)

Step-by-step explanation:

m= 4n-gn+1

Subtract 1 from each side

m-1= 4n-gn+1-1

m-1 = 4n -gn

Factor out n

m-1 = n(4-g)

Divide each side by (4-g)

(m-1)/(4-g) =  n(4-g)/(4-g)

(m-1)/(4-g) =  n

n = (m-1)/(4-g)

6 0
2 years ago
Read 2 more answers
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