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salantis [7]
3 years ago
15

please help me explain what his mistake was. If possible does anyone think they can explain it in a simplified way? Thank You fo

r your help!

Mathematics
2 answers:
slava [35]3 years ago
8 0

Answer:

Dont think eh multiplied both sides by 4. That would be the first step.

Step-by-step explanation:

1/4(x+12)=2

multiply both sides by 4

x+12=8

move the 8 to the right side of the equation and change its sign

x=8-12

calculate

x= -4

goldfiish [28.3K]3 years ago
8 0

Answer:

He didn't multiply 1/4 between both terms in the brackets.

Step-by-step explanation:

1/4(x+12)=2

1/4x+3=2

1/4x= -1

x= -4

Hope that makes sense!

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Answer:

\huge \boxed{\sf  \ \ x=-\dfrac{1}{2} \ \ }

Step-by-step explanation:

Hello,

We need to express this parabola using this kind of expression

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and then, the line of symmetry will be the line x = b

Let's do it !

\text{*** Complete the square ***} \\ \\ x^2+x=x+2\cdot \dfrac{1}{2}\cdot x=(x+\dfrac{1}{2})^2-\dfrac{1^2}{2^2}=(x+\dfrac{1}{2})^2-\dfrac{1^2}{4} \\ \\ \text{*** Apply it to our parabola } \\ \\y=-x^2-x+2=-(x^2+x)+2=-[(x+\dfrac{1}{2})^2-\dfrac{1}{4}]+2 = -(x+\dfrac{1}{2})^2+\dfrac{1+2*4}{4}= -(x+\dfrac{1}{2})^2+\dfrac{9}{4} \\ \\ \text{*** It comes ***} \\ \\ \Large \boxed{\sf \ \ y=-(x+\dfrac{1}{2})^2+\dfrac{9}{4} \ \ }

So the line of symmetry is

\huge \boxed{\sf  \ \ x=-\dfrac{1}{2} \ \ }

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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