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sattari [20]
2 years ago
7

Describe a real world situation that would involve finding the circumference of a circle.

Mathematics
1 answer:
hoa [83]2 years ago
4 0
When you buy a coffee table or piece of circular furniture
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Express 2x+1/(x-2)(x²+1) as a partial fraction.
Oduvanchick [21]

Answer:

Partial fraction = 1/(x-2) - x/(x^2+1)

Step-by-step explanation:

Question:

Express 2x+1/(x-2)(x²+1) as a partial fraction.

Note: it will be assumed that there was a typo in the interpretation of parentheses to mean

(2x+1) / ( (x-2)(x^2+1) )

Let

(2x+1) / ( (x-2)(x^2+1) ) = A/(x-2) + (Bx+C)/(x^2+1) .........................(0)

(2x+1) / ( (x-2)(x^2+1) ) = (A(x^2+1)+(Bx+C)(x-2)) / ( (x-2)(B/(x^2+1) )

(2x+1) / ( (x-2)(x^2+1) ) = (Ax^2+A+Bx^2+(C-2B)x-2C) / ( (x-2)(B/(x^2+1) )

(2x+1) / ( (x-2)(x^2+1) ) = ( (A+B)x^2+(C-2B)x+A-2C ) / ( (x-2)(B/(x^2+1) )

Match numerators

2x+1 = (A+B)x^2+(C-2B)x+A-2C

Match coefficients,

A+B = 0 ..................(1)

-2B+C = 2 .................(2)

A-2C = 1 ...................(3)

Solve for A, B and C

Substitute A from (1) in (3)

-B - 2C =1  

transpose and solve for B

B = -2C-1  ....................(4)

Substitue B from (4) in (2)

-2(-2C-1) + C = 2  

simplify

5C = 2-2 = 0

C=0  ..........................(5)

substitute (5)  in (4)

B = -2C-1 = -1  ...............(6)

Substitue (6) in (1)

A+(-1) = 0

A=1 .............................(7)

Using values from (7), (6) and (5) to substitute in (0)

we get

(2x+1) / ( (x-2)(x^2+1) ) = 1/(x-2) - x/(x^2+1)

as the required partial fraction

7 0
3 years ago
Read 2 more answers
the student rate for ymca on broadway is 64.00 per month in order to join there is a refundable $15 registration fee what is the
Snowcat [4.5K]

Answer:

568

Step-by-step explanation:

because we multiply the 64 with the number that will be in the number

7 0
2 years ago
How to find cp if loss and sp are given​
velikii [3]

Step-by-step explanation:

\tt{ \: H \: E \: Y \: \:  T \: H \: E \: R\: E \: } !

When Loss and Selling price ( SP ) are given , Cost price ( CP ) can be found out using the following formulae :

✰ \large{ \boxed{ \boxed{ \tt{CP = Loss + SP}}}}

\text{How \: did\: we \:get  \:the \: formula :  \: CP \:  = Loss \:  +  \: SP} \: ?

We simply derived the formula from Loss = CP - SP.

First , Swap the sides of the equation :

⟶ \text{CP - SP = Loss}

Move SP to right hand side and change it's sign :

⟶\text{CP = Loss + SP}

This is how , CP can be obtained when we are given loss and SP.

Hope I helped ! ♡

Have a wonderful day / night ! ツ

# \underbrace{ \tt{C \: a \: r \: r \: y \:  \: O \:n \:  \: L \: e \: a \: r \: n \: i \: n \: g}} !!

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

8 0
3 years ago
CAN YOU HELP ME PLEASE I NEED THIS RIGHT NOW I DONT UNDERSTAND
Neporo4naja [7]

Answer:

divide the smaller number by the larger number

Step-by-step explanation:

54.8% or 55%

4 0
3 years ago
Can somebody please help?
RUDIKE [14]

Answer:

it would already be 5.5 so then you add 2.2

Step-by-step explanation:


6 0
3 years ago
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