Find the foci of each hyperbola graph the hyperbola y^2/400 - x^2/169 =1
1 answer:
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Answer:
p = ± 5
Step-by-step explanation:
Calculate the distance using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (p, 0) and (x₂, y₂ ) = (0, p)
d =
=
=
=
Given that d = 10, then
= 10 ( square both sides )
( )² = 10², that is
2p² = 100 ( divide both sides by 2 )
p² = 50 ( take the square root of both sides )
p = ± = ±
= ± 5
Answer:
,
,
Step-by-step explanation:
In this problem we have that
we have
substitute the values and solve for x
Group terms that contain the same variable in the right sides
Combine like terms in the right side
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