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kozerog [31]
3 years ago
5

Solve for x. Can somebody help me? I don’t understand how to do this.

Mathematics
2 answers:
Basile [38]3 years ago
7 0

-1=\dfrac{5+x}{6}\\\\-6=5+x\\\\x=-11

sertanlavr [38]3 years ago
3 0

"Solve for x" means get an equation that says " X = something ".  It has nothing but X all alone on one side, and the other side tells exactly what X is equal to.

How do you get such an equation ?  

-- Take what they gave you in the question.

-- Do anything you want on one side of it, to get X all by itself on that side.

<em>BUT . . .</em>

-- Whatever you do to one side, you must immediately do the same thing on the other side.

Here's how that goes:

Given in the question:  -1 = (5 + X) / 6

Multiply each side by 6 :  -6 = 5 + X

Subtract 5 from each side:  <em>-11 = X</em>

And there you are.  It's over almost as soon as it started.

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Given:

The given equation is

y-3=(2-x)^2

To find:

The vertex, focus, and directrix.

Solution:

The equation of a parabola is

y-k=a(x-h)^2     ...(i)

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We have,

y-3=(2-x)^2

It can be written as

y-3=(-(x-2))^2

y-3=(x-2)^2    ...(ii)

On comparing (i) and (ii), we get

h=2,k=3,a=1

Vertex of the parabola is (2,3).

Focus=\left(2,3+\dfrac{1}{4(1)}\right)

Focus=\left(2,3+\dfrac{1}{4}\right)

Focus=\left(2,\dfrac{13}{4}\right)

Therefore, the focus of the parabola is \left(2,\dfrac{13}{4}\right).

Directrix of the parabola is

y=3-\dfrac{1}{4(1)}

y=3-\dfrac{1}{4}

y=\dfrac{11}{4}

Therefore, the directrix of the parabola is y=\dfrac{11}{4}.

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You’re answer - (0,7)

Hope I helped

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Sergeeva-Olga [200]
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Answer:

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