3 years ago

Raymond is designing a ceramic pot on a coordinate system where each unit corresponds to 1 millimeter. The neck of the

Mathematics

1 answer:

LUCKY_DIMON [66]3 years ago

7 0

9514 1404 393

Answer:

x^2/1024 -y^2/7744 = 1

Step-by-step explanation:

The parent hyperbola relation is ...

x^2 -y^2 = 1

This has asymptotes of y = ±x and x-intercepts of ±1.

For the given hyperbola, we want to scale x by a factor of 32, and y by a factor that is 2.75 times that, or 88. Then the equation could be written as ...

(x/32)^2 -(y/88)^2 = 1

More conventionally, the denominator is shown at full value:

x^2/1024 -y^2/7744 = 1

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