Solve:4c + 22 = 66C =
1 answer:
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Answer:
or
Step-by-step explanation:
The given quadratic equation is
Group the constant terms on the right hand side.
Divide through by 5.
Add the square of half the coefficient of x., which is to both sides of the equation.
The left hand side is now a perfect square.
Take the square root of both sides;
or
or
or
Answer:
Hyperbola
Step-by-step explanation:
The polar equation of a conic section with directrix ± d has the standard form:
r=ed/(1 ± ecosθ)
where e = the eccentricity.
The eccentricity determines the type of conic section:
e = 0 ⇒ circle
0 < e < 1 ⇒ ellipse
e = 1 ⇒ parabola
e > 1 ⇒ hyperbola
Step 1. <em>Convert the equation to standard form </em>
r = 4/(2 – 4 cosθ)
Divide numerator and denominator by 2
r = 2/(1 - 2cosθ)
Step 2. <em>Identify the conic </em>
e = 2, so the conic is a hyperbola.
The polar plot of the function (below) confirms that the conic is a hyperbola.
