Which is the equation of a hyperbola centered at the origin with focus 0,4) and vertex (0, square root of 12 )?

The equation of the hyperbola is:

Step-by-step explanation:

The equation of a hyperbola centered in the origin in standard form is:

The distance between both vertexes is equal to:

Now, the distance between any of the vertexes and origin is:

The remaining parameter of the hyperbola is determined by the following Pythagorean expression:

The equation of the hyperbola is:

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

the final price would be 29.6925

step-by-step explanation:

39.59 minus 25% equals 29.6925