Let f(0,5) and , −5) be the foci of a hyperbola. let the points p(x, y) on the hyperbola satisfy either
pf − pg = 6 or pg− pf = 6. use the distance formula to derive an equation for this hyperbola, writing your
answer in the form
x2 / a2 − y2 / b2 = 1.

Step-by-step explanation:

Remember, the points P on the hyperbola satisfy that the value absolute of the difference of the distances of P to the foci is constant and less than the distance between the foci.

Then

Therefore,

Also, the foci satisfy that , then

Then, the equaton of the hyperbola is

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

hope it

24+x=y

step-by-step explanation: