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3 years ago

Classify the equation, 7x+6=7x-5, as having one solution, no solution, or infinitely many solutions.

Mathematics

1 answer:

Ksenya-84 [330]3 years ago

5 0

Answer:

Step-by-step explanation:

7x + 6 = 7x - 5

Collecting like terms

7x - 7x = -5 - 6

The x is canceled out so no solution

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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)

beks73 [17]

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

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

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

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

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Hence the answer is

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

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1 year ago

2x-y=-1 in slope intercept form

AnnyKZ [126]

Answer:

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