Find an equation for the hyperbola that satisfies the given conditions.
Asymptotes: y = ±x,
hyperbola passes through (5, 3)

The equation of hyperbola that satisfies the given conditions is and this can be determined by using the given data.

Given :

The generalized equation of Hyperbola is given below:

  --- (1)

So, according to the data, the asymptotes: y = ±x. Therefore, the slope is:

a = b

The value of h = 0 and k = 0 in the equation (1).

Now, in order to determine the value of 'a' use the below calculation.

Now, substitute the value of y and x in the above equation.

25 - 9 =

a = 4

So, the value of 'b' is also equal to 4.

Now, substitute the values of the known terms in the equation (1).

For more information, refer to the link given below:

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Step-by-step explanation:

The slope of the one of the asymptotes is:

The form of the asymptotes indicates that the hyperbola is centered at origin. Therefore, the equation of the conic is simplified into this form:

The equation of the hyperbola is:

an advantage of the standard deviation is that it increases as the dispersion of the data increases. e. the interquartile range is preferred when the data are not skewed or no have outliers. an advantage of the standard deviation is that it uses all the observations in its computation.

step-by-step explanation: