The sum of (-9) and a number (n) is multiplied by 1/2. the result is 20. what is the number?
2 answers:
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Answer:
.
Step-by-step explanation:
If (α, β) are the coordinates of the center of the hyperbola, then its equation of the hyperbola is .
Now, the vertices of the hyperbola are given by (α ± a, β) ≡ (1,-3) and (-3,-3)
Hence, β = - 3 and α + a = 1 and α - a = -3
Now, solving those two equations of α and a we get,
2α = - 2, ⇒ α = -1 and
a = 1 - α = 2.
Now, eccentricity of the hyperbola is given by {Since
given}
Therefore, the equation of the given hyperbola will be
. (Answer)
Answer: x= 2.5, y = 10
Step-by-step explanation:
<u><em>I'm going to assume that these photocopies are proportional in relations to each other.</em></u>
If they're proportional, you can set up two proportions:
And cross-multiply:
Then solved for x and y: