APFIVE Equating Parametric Components
A particle’s position is described by the parametric equations below.
$$x(t)=\frac{t^2+6*t+8}{t+2} \quad \text{and} \quad y(t)=\sqrt{t^2+6*t+9}$$
For what value of the parameter $$t$$ is $$x(t)=y(t)$$?
A
$$t=-\frac{13}{3}$$
B
$$t=\frac{13}{3}$$
C
$$t=-\frac{13}{5}$$
D
$$t=\frac{13}{5}$$
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