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-Dominant- [34]
3 years ago
12

What is the solution to –4|–2x + 6| = –24?

Mathematics
1 answer:
Oduvanchick [21]3 years ago
8 0
What is the solution to –4|–2x + 6| = –24?

-4║-2x+6║=-24
-4/-4║-2x+6║=-24/-4 division property
║-2x+6║=6 simplified

Positive Negative
-2x+6=6 -2x+6=-6
-2x+6-6=6-6 -2x+6-6=-6-6 subtraction property
-2x=0 -2x=-12 simplified
-2/-2x=0/-2 -2/-2x=-12/-2 division property
x=0 x=6

C.) x = 0 or x = 6
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<img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%5E%7B2%7D%20%2B4x%2B4" id="TexFormula1" title="\sqrt{x^{2} +4x+4" alt="\sqrt{x^{2}
Anna35 [415]

Answer:

Given,

\sqrt{ {x}^{2}  + 4x + 4}  - 3 = 0 \\  =  >  \sqrt{ {x}^{2}  + 4x + 4}  = 3 \\  =  >  {( \sqrt{ {x}^{2}  + 4x + 4} })^{2}  =  {3}^{2}  \\  =  >  {x}^{2}  + 4x + 4 = 9 \\  =  >  {x}^{2}  + 4x + 4 - 9 = 0 \\  =  >  {x}^{2}  + 4x - 5 = 0 \\  =  >  {x}^{2}  + 5x - x  - 5 = 0 \\  =  >  x(x + 5) - 1(x  + 5) = 0 \\  =  > (x - 1)(x  + 5) = 0 \\  \\  \sf \: either \: x - 1 = 0 \:  \:  \:  \:  \\  =  > x = 1 \:  \:  \\  \\  \sf \: or \\ x + 5 = 0 \\  =  > x =  - 5 \\  \\ \green{ \boxed{  \bf \:  \:  \:  \: \: x = 1 \:  \: or \:  - 5}}

But if we put the value of x = 5 then it doesn’t satisfy the equation.

So,

X = 1

5 0
3 years ago
Read 2 more answers
Which equation has solution X equals -3
yawa3891 [41]

Answer:

0-3=X

Step-by-step explanation:

you start off with zero, and go back 3. which equals 3- so it makes X, -3

8 0
4 years ago
Read 2 more answers
How to write 8.517 in word form
SpyIntel [72]

8.517

Word form :

Eight and Five Hundred Seventeen Thousandths.

3 0
3 years ago
If Acot theta + Bcot theta =4 and
geniusboy [140]

Answer is: B

Step-by-step explanation: correct answer is B

b  

2

−a  

2

 

Given, acotθ+bcscθ=p

           bcotθ+acscθ=q

⇒p  

2

−q  

2

=(p−q)(p+q)

                   =[acotθ+bcscθ−bcotθ−acscθ][acotθ+bcscθ+bcotθ+acscθ]

                   =[cotθ(a−b)−cscθ(a−b)][cotθ(a+b)+cscθ(a+b)]

                   =(a−b)(cotθ−cscθ)(a+b)(cotθ+cscθ)

                   =(a  

2

−b  

2

)(cot  

2

θ−csc  

2

θ)

                   =(−1)(a  

2

−b  

2

)[∵csc  

2

θ−cot  

2

θ=1]

                   =(b  

2

−a  

2

)

7 0
3 years ago
Y-intercept for x-2y=8
lukranit [14]

-4    first we rearrange the question x-2y=8

x-2y=8

-2y=-x+8

y=1/2x-4 (divide by -2 everywhere)

-4 is the y intercept.

7 0
3 years ago
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