VahanL754643 VahanL754643
  • 03-11-2022
  • Mathematics
contestada

Construct parametric equations describing the graph of the following equation.x = 3y +3If y = 4 + 1, find the parametric equation for x.

Construct parametric equations describing the graph of the following equationx 3y 3If y 4 1 find the parametric equation for x class=

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DarrianO463380 DarrianO463380
  • 03-11-2022

Given:

[tex]x=4y+3,y=4+t[/tex]

Required: Parametric equation of y.

Explanation:

Substitute 4+t for y into the equation of x.

[tex]\begin{gathered} x=4(4+t)+3 \\ =16+4t+3 \\ =4t+19 \end{gathered}[/tex]

So, the parametric equation for x is x = 4t+19.

Final Answer: The parametric equation of x is x = 4t + 19.

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