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3 years ago

Can someone explain the absolute value of |6-x|=x/2+9|

Mathematics

1 answer:

Alexxandr [17]3 years ago

4 0

Answer:

Yes!

Step-by-step explanation:

Okay so the absolute vaule of ANY number is posive of the same number so like having I-1I the absolute vaulse is I1I.

the absoulte vaule of I-xI= x so anything that is negitive goes to positive and if Positive it stays positive. If you need help find x let me know and make sure you have the write equation.

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4 years ago

Pipe A can fill a tank in 5 hours. Pipe B can fill it in 2 hours less time than it takes pipe C, a draining pipe, to empty the t

sukhopar [10]

Answer: Time taken by pipe C to empty the tank = 5 hours.

Step-by-step explanation:

Pipe A can fill a tank in 5 hours.

Let time taken by Pipe C = x ( hours)

Time taken by Pipe B = x-2 ( hours)

Now, with all 3 pipes open, it takes 3 hours to fill the tank, it can be represented as

$\dfrac15+\dfrac1{x-2}-\dfrac1x=\dfrac 13\\\\\Rightarrow\ \dfrac{x-(x-2)}{x(x-2)}=\dfrac13-\dfrac15\\\\\Rightarrow\ \dfrac{x-x+2}{x^2-2x}=\dfrac{5-3}{15}\\\\\Rightarrow \dfrac{2}{x^2-2x}=\dfrac2{15}\\\\\Rightarrow\ x^2-2x=15\\\\\Rightarrow\ x^2-2x-15=0\\\\\Rightarrrow\ x^2-5x+3x-15=0\\\\\Rightarrow\ x(x-5)+3(x-5)=0\\\\\Rightarrow\ (x-5)(x+3)=0\\\\\Rightarrow\ x=5, -3$

Time cannot be negative,

So, x=5

Thus, Time taken by pipe C to empty the tank = 5 hours.

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3 years ago

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4 years ago

Can someone explain the absolute value of |6-x|=x/2+9|​

Can someone explain the absolute value of |6-x|=x/2+9|