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Brums [2.3K]
3 years ago
11

What is the absolute value of a number

Mathematics
1 answer:
Afina-wow [57]3 years ago
8 0

Answer:

Value of a number regardless of sign or symbol

|5| = 5

|-5| = 5

-|5| = -5

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Solve the following equation using the distributive property. 4(x-3)=5
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Step-by-step explanation:

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So:

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Read 2 more answers
Mara finished 1/5 and 3/8 . what fraction she complete
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FIrst you need common denominators for both fraction so the common denominator would be 40 so both fractions look like this 
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Y+1 y+8 y+2 y+7
kipiarov [429]

\dfrac{y+1}{y+2}+\dfrac{y+8}{y+9}=\dfrac{y+2}{y+3}+\dfrac{y+7}{y+8}

Write all fractions in terms of a common denominator:

\dfrac{y+1}{y+2}=\dfrac{(y+1)(y+9)(y+3)(y+8)}{(y+2)(y+9)(y+3)(y+8)}

\dfrac{y+8}{y+9}=\dfrac{(y+8)^2(y+2)(y+3)}{(y+2)(y+9)(y+3)(y+8)}

\dfrac{y+2}{y+3}=\dfrac{(y+2)^2(y+9)(y+8)}{(y+2)(y+9)(y+3)(y+8)}

\dfrac{y+7}{y+8}=\dfrac{(y+7)(y+2)(y+9)(y+3)}{(y+2)(y+9)(y+3)(y+8)}

Then move all fractions to one side and simplify the numerator:

\dfrac{(y+1)(y+9)(y+3)(y+8)+(y+8)^2(y+2)(y+3)-(y+2)^2(y+9)(y+8)-(y+7)(y+2)(y+9)(y+3)}{(y+2)(y+9)(y+3)(y+8)}=0

The numerator dictates when the fraction reduces to 0. The denominator can never be 0, so we know that <em>y</em> cannot take any of the values -2, -9, -3, nor -8.

So the equation reduces to

(y+1)(y+9)(y+3)(y+8)+(y+8)^2(y+2)(y+3)-(y+2)^2(y+9)(y+8)-(y+7)(y+2)(y+9)(y+3)=0

Expand the left side; you would end up with

-6(2y+11)=0

2y+11=0

2y=-11

\implies\boxed{y=-\dfrac{11}2}

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