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.
Answer: r = 4
Step-by-step explanation:
V = pi * r^2 * h
144 * pi = pi * r^2 * 9
Divide by pi
144 = r^2 * 9
Divide by 9
16 = r^2
Take square root of both sides
rad(16) = rad(r^2)
4 = r
r = 4
Start by adding 34 to both sides so that the equation becomes -7x^2 + 3x + 6 = 0. To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
x = [ -b ± √(b^2 - 4ac)] /(2a)
x = [-3 ± √((3)^2 - 4(-7)(6)) ] / ( 2(-7) )
x = [-3 ± √(9 - (-168) ) ] / ( -14 )
x = [-3 ± √(177) ] / ( -14)
x = [-3 ± sqrt(177) ] / ( -14 )
x = 3/14 ± -sqrt(177)/14
The answers are 3/14 + sqrt(177)/14 and 3/14 - sqrt(177)/14.
Answer:
The figure below shows 4 congruent circles, each tangent to 2 other circles and to 2 ... a side of the square is 24 inches, then what is the area, in square inches, of 1 circle? A. 9 B. 9π C. 36 D. 36π E. 144. ... D The length of one side of the square is equivalent to the diameter of two circles: 24 = 2d. d = 12. Next, find the radius:.
Answer:
27 x a x b
Step-by-step explanation: