APFIVE Equating Parametric Components
Suppose a particle moves along a curve defined parametrically by
$$x(t)=\frac{t^2+6*t+8}{t+2},\quad y(t)=\sqrt{t^2+6*t+9}.$$
Solve for the parameter $$t$$ that satisfies $$x(t)=y(t).$$
(Hint: Simplify the rational expression by factoring.)
A
$$t=-\frac{13}{5}$$
B
$$t=\frac{13}{3}$$
C
$$t=-\frac{13}{3}$$
D
$$t=\frac{13}{5}$$
Question Leaderboard
Not enough data yet to show leaderboard.