Which is a focus of the hyperbola shown? (−20, 0) (−24, 0) (25, 0) (30, 0)

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Step-by-step explanation:

The distance from the center to the focus is the same as the distance from the center to the corner of the dashed green rectangle shown (not to scale). The hypotenuse of a rectangle with legs 7 and 24 is √(49+576) = 25, so the distance will be 25 from (0, 0) to the focus at (25, 0).

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation:

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