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Alik [6]
4 years ago
10

PLEASE HELP EXTRA POINTS 100 Cingular's plan charged $39.99 per month with $0.45 for each additional minute. Verizon's plan cost

$44.99 with $0.40 for each additional minute. How many additional minutes, A, would it take for the two plans to cost the same?
Mathematics
1 answer:
Anit [1.1K]4 years ago
5 0

44.99-39.99=5.00

5.00÷.45=11.11 additional minutes i would round to 11 because you can't have a fraction of an additional minute.

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Answer:

\frac{(x-30)^{2}}{40^{2}} - \frac{(y+15)^{2}}{3^{2}} = 1

Step-by-step explanation:

The equation of the horizontal hyperbola in standard form is:

\frac{(x-k)^{2}}{a^{2}} - \frac{(y-k)^{2}}{b^{2}} = 1

The position of its center is:

C(x,y) = \left(\frac{-10 + 70}{2}, -15 \right)

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The values for c and a are respectively:

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The remaining variable is computed from the following Pythagorean identity:

c ^{2} = a^{2} + b^{2}

b = \sqrt{c^{2}-a^{2}}

b = \sqrt{41^{2}-40^{2}}

b = 3

Now, the equation of the hyperbola is:

\frac{(x-30)^{2}}{40^{2}} - \frac{(y+15)^{2}}{3^{2}} = 1

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