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3 years ago

What is the equation for a hyperbola?

Mathematics

2 answers:

kondor19780726 [428]3 years ago

7 0

General equation of a parabola is :-
y² = 4ax

Focus = (a,0)
Directrix= (x=-a)

Ket [755]3 years ago

4 0

Answer:

A hyperbola has two curves that are like infinite bows where these two curves are a mirror image of each other.

We can also get a hyperbola by slicing through a double cone. But the slice should be deeper than that of a parabola.

When we place the hyperbola on an x y graph, we get the equation:

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

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Firlakuza [10]

For the given triangle, the value of x equals 30.9892 units.

Step-by-step explanation:

Step 1:

In the triangle, the angle is 40°, the opposite side has a length of 26 units, the adjacent side has a length of x units while the hypotenuse is not given.

To determine the value of x, we determine the value of the tan of the given triangle.

To calculate the tan of angle A we divide the opposite side's length by the the adjacent side's length.

$tan A = \frac{oppositeside}{adjacent side}.$

Step 2:

The length of the opposite side = 26 units.

The length of the adjacent side = x units.

$tan A = \frac{oppositeside}{adjacent side}, tan 40 = 0.8390, tan A = \frac{26}{x} .$

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So x measures 30.9892 units.

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