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Studentka2010 [4]
3 years ago
9

Which is the equation of a hyperbola centered at the origin with vertex (0, sqrt 12 ) that passes through (2 sqrt 3,6)

Mathematics
1 answer:
mina [271]3 years ago
6 0

Answer:

y-intercept = a +y^2/12 term in it.

Then for y=6, you have

.. 6^2/12 -x^2/b = 1

.. 2 = x^2/b

.. b = x^2/2

If your point is (2√3, 6), then this is

.. b = (2√3)^2/2 = 12/2 = 6

Then the hyperbola's equation is

.. y^2/12 -x^2/6 = 1 . . . . . . . . selection D

Step-by-step explanation:

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Need help on this math question!!!
gavmur [86]

Answer:

s = 10w

Step-by-step explanation:

We can find the equation in <u>slope-intercept form</u> which is y = mx + b. The variables mean:

"b" - for the y-intercept (where the graph hits the y-axis)

"m" - for the slope (how steep the line is)

"x" and "y" - coordinates that satisfy the equation (points on the line)

From the graph, we can see that the y-intercept is 0. b = 0, therefore we do not need to write it in the equation.

To find the slope, "m", use the equation  m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}. To use it, substitute the coordinates for two points. Using the diagram, choose a point 1 and a point 2.

Point 1 (0, 0)      x₁ = 0   y₁ = 0

Point 2 (1, 10)     x₂ = 1   y₂ = 10

m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}          Substitute values

m = \frac{10-0}{1-0}          Subtract to simplify

m = \frac{10}{1}          Simplify the fraction

m = 10            Slope of the line

Since we know "m" and "b", we can write the equation:

y = mx + b

y = 10x + 0

y = 10x

We are not using "x" and "y" in this case. Change them according to the question.

x => w

y => s

y = 10x   =>   s = 10w

5 0
2 years ago
Step by step please ASAP
fenix001 [56]

Answer:

-2x^2 - 2

Step-by-step explanation:

(6x^2 + 3) - (5 + 8x^2)

-2x^2 + 3 - 5

-2x^2 - 2

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3 years ago
What is an equation of the line that passes through the point (8, 2) and is parallel to
gayaneshka [121]

Answer:

x+4y is not change because it's parallel what changes is the result 8 + 4 × 2 = 16 so the equation is x + 4y = 16

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What’s the transformation
frosja888 [35]

Answer:

43

Step-by-step explanation:

because 43 - 69 is f u n k y

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kari74 [83]

Answer:

4 is the number

Step-by-step explanation:

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