Answer:
Since the focus is at (-6,-11) and the directrix is at y=9:
The vertex is halfway between the focus and the directrix, so the vertex is at (-6,-1). (Draw this on graph paper if that doesn't make sense.)
The general form (conics form) of a parabola: 4p(y-k)=(x-h)^2 (vertex is (h,k) and "p" is the distance between the focus and vertex (or between vertex and directrix)).
(h,k) = (-6,-1)
p = 10 (distance between focus and vertex), so 4p = 40.
Therefore:
40(y+1)=(x+6)^2
Or if you need to rearrange to "vertex form": y=(1/40)(x+6)^2 - 1
Step-by-step explanation:
We know that
[the area of composite figure]=[area of rectangle]+[area of a half circle]
[area of rectangle]=b*h
where
b=the base
h=the height
[area of rectangle]=b*h--------> 4.1*8.6---------> 35.26 cm²
[area of a circle]=pi*r²
where
r=the radius
r=4.1/2-------> 2.05 cm
the figure is a half circle
then
[area of a half circle]=pi*r²/2--------> pi*2.05²/2--------> 6.60 cm²
[the area of composite figure]=35.26+6.60--------> 41.86 cm²
the answer is
41.86 cm²
Answer:
87.5%
Step-by-step explanation:
To find a percentage of questions correct divide the number of correct answers by the total number of questions and then multiply that by 100.
(35/40)100=87.5
Answer:
603.2 meters
Step-by-step explanation:
circle - the outside of the walk in this case. This circle has a
diameter of 22 + 8 m, therefore a radius of 15m. The inner circle
has a diameter of 22m - as given - a radius of 11m.
You subtract the area of the inner circle from that of the larger circle.
