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serious [3.7K]
3 years ago
12

Sketch the curve represented by the parametric equations (indicate the orientation of the curve), and write the corresponding re

ctangular equation by eliminating the parameter.
x = 3t - 5 y = 5t + 1

Mathematics
1 answer:
raketka [301]3 years ago
8 0

Answer:

(See explanation below for further details).

Step-by-step explanation:

Let be a parametric curve represented by x = 3\cdot t - 5 and y = 5\cdot t + 1, where t is the parametric variable.

The curve is represented graphically with the help of a graphing tool, whose outcome is included in the image attached below. The corresponding rectangular equation is found by eliminating t of each equation.

t = \frac{x+5}{3} and t = \frac{y-1}{5}

\frac{x+5}{3} = \frac{y-1}{5}

5\cdot (x+5) = 3\cdot (y-1)

5\cdot x +25 = 3\cdot y - 3

5\cdot x -3\cdot y = -28

The parametric equations represents a linear function (first-order polynomial).

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