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vova2212 [387]
3 years ago
15

Find the value of a- 6 = a/4 + 2

Mathematics
1 answer:
Mrrafil [7]3 years ago
3 0

Answer:a=16

Step-by-step explanation:

a/4+2=6

a/4=4

4*4=16

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Does -2(3x-1)=-6x-1 have how many solutions?
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Answer:

None

Step-by-step explanation:

Let's attempt to solve the equation, and see what happens:

-2(3x-1) = -6x -1

-6x +2  =  -6x - 1  (expanding the brackets).

        2 = -1      (cancelling out the -6x term from each side).

So, since 2 = -1 is not true, this means there are no solutions to this equation.

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3 years ago
This hyperbola is centered at theorigin. Find its equation.Foci: (-2,0) and (2,0)Vertices: (-1,0) and (1,0)
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SOLUTION

From the question, the center of the hyperbola is

\begin{gathered} (h,k),\text{ which is } \\ (0,0) \end{gathered}

a is the distance between the center to vertex, which is -1 or 1, and

c is the distance between the center to foci, which is -2 or 2.

b is given as

\begin{gathered} b^2=c^2-a^2 \\ b^2=2^2-1^2 \\ b=\sqrt[]{3} \end{gathered}

But equation of a hyperbola is given as

\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1

Substituting the values of a, b, h and k, we have

\begin{gathered} \frac{(x-0)^2}{1^2}-\frac{(y-0)^2}{\sqrt[]{3}^2}=1 \\ \frac{x^2}{1}-\frac{y^2}{3}=1 \end{gathered}

Hence the answer is

\frac{x^2}{1}-\frac{y^2}{3}=1

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Step-by-step explanation:

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Step-by-step explanation:

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