Answer:
The equation of the circle is , third option is correct.
Step-by-step explanation:
Equation of a circle:
The equation of a circle with center and radius r is given by:
Center at (-4, 10)
This means that .
Radius of 8:
This means that . So
The equation of the circle is , third option is correct.
Answer:
(-6,4)
Step-by-step explanation:
add the x coordinates of point A and B(take x coordinate of B as X),then divide the sum of 2 and equal it to 2 which is the x coordinate of the midpoint.
then repeat the same procedure for the y coordinates ,take the sum of y corrdinates divide by 2 and equal to 8.
then u can obtain the coordinates of B.
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.
