Question

HELP ASAP

Find a set of parametric equations for the rectangular equation.
t=7-x
y=1/x

a.x=7+t,y=1/(-t+7)
b.x=t-7,y=-1/(t+7)
c.x=7-t,y=-1/(t-7)
d.x=t-7,y=1/(t+7)
e.7+t,y=1/(t-7)

Answer 1

Answer: it is C

Explanation:

Answer 2

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Answer:

c. x = 7-t; y = -1/(t -7)

Explanation:

To find the parametric equation for x, use the equation for t and solve for x.

t = 7-x

x = 7 -t . . . . . . add x-t to both sides

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To find the parametric equation for y, substitute the equation for x.

y = 1/x

y = 1/(7-t)

To make this match the available choices, we need to multiply numerator and denominator by -1.

y = -1/(t -7)

The parametric equations are ...

x = 7 -t; y = -1/(t -7) . . . . . . matches choice C