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Elina [12.6K]
3 years ago
14

Solve the equation. 8b – 7 = 7b – 2

Mathematics
1 answer:
lidiya [134]3 years ago
8 0
                                                       <u> 8b - 7 = 7b - 2</u>

Subtract  7b  from each side:      b - 7  =  -2

Add  7  to each side:                    <em> b        =  5</em>
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What is the difference? StartFraction x Over x squared minus 16 EndFraction minus StartFraction 3 Over x minus 4 EndFraction Sta
katovenus [111]

Answer:

The option "StartFraction negative 2 (x + 6) Over (x + 4) (x minus 4) EndFraction" is correct

That is \frac{-2(x+6)}{(x+4)(x-4)}

Therefore \frac{x}{x^2-16}-\frac{3}{x-4}=\frac{-2(x+6)}{(x+4)(x-4)}

Step-by-step explanation:

Given problem is StartFraction x Over x squared minus 16 EndFraction minus StartFraction 3 Over x minus 4 EndFraction

It can be written as below :

\frac{x}{x^2-16}-\frac{3}{x-4}

To solve the given expression

\frac{x}{x^2-16}-\frac{3}{x-4}

=\frac{x}{x^2-4^2}-\frac{3}{x-4}

=\frac{x}{(x+4)(x-4)}-\frac{3}{x-4}  ( using the property a^2-b^2=(a+b)(a-b) )

=\frac{x-3(x+4)}{(x+4)(x-4)}

=\frac{x-3x-12}{(x+4)(x-4)} ( by using distributive property )

=\frac{-2x-12}{(x+4)(x-4)}

=\frac{-2(x+6)}{(x+4)(x-4)}

\frac{x}{x^2-16}-\frac{3}{x-4}=\frac{-2(x+6)}{(x+4)(x-4)}

Therefore \frac{x}{x^2-16}-\frac{3}{x-4}=\frac{-2(x+6)}{(x+4)(x-4)}

Therefore the option "StartFraction negative 2 (x + 6) Over (x + 4) (x minus 4) EndFraction" is correct

That is \frac{-2(x+6)}{(x+4)(x-4)}

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3 years ago
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Step-by-step explanation:

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3 years ago
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Drag each tile to the correct box.
kolbaska11 [484]

Answer:

a) Distance between points A (5, 4) and B( 5, -2) is 6 unitsb) Distance between points E (-2, -1) and F( -2, -5) is 4 unitsc) Distance between points C (-4, 1) and D( 1, 1) is 5 unitsd) Distance between points G(3, -5) and H(6, -5) is 3 unitsStep-by-step explanation:We need to find the distance between each paira) A (5, 4) and B( 5, -2)

Step-by-step explanation:

8 0
2 years ago
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2 years ago
-(5a+6)=2(3a+8) what is the answer
ValentinkaMS [17]

Answer:

a = -2

Step-by-step explanation:

-(5a+6)=2(3a+8)

-5a -6 = 2*3a +2*8

-5a -6 = 6a +16

-5a -6a = 16+6

-11a = 22

a= -22/11

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