For
(x-h)^2=4p(y-k)
vertex is (h,k)
distance from vertex to directix=p=distance from vertex to focus
|4p|=focal width
remember, focus is on the side of the parabola where it opens and directix is at the back
when p is negative, it opens down
when p is positive, it opens up
look at equation
-1/40(x-0)^2=(y-0)
times -40 to both sides
(x-0)^2=-40(y-0)
(x-0)^2=4(-10)(y-0)
vertex=(0,0)
p=-10,it's negative so it opens down
focus is 10 units below vertex (y direction)
focus=(0,-10)
diretix is 10 above
directix is y=10
focal width=|4p|=|4(-10)|=|-40|=40
vertex=(0,0)
focus=(0,-10)
directix is y=10
focal width=40 units
Answer:
74°
Step-by-step explanation:
Complementary angles are either of two angles whose sum is 90°. 90-16=74
Answer:
5(4+√3)/13
Step-by-step explanation:
Answer:
Part 1) The area of the figure is 
Part 2) The perimeter of the figure is 
Step-by-step explanation:
Part 1) Find the area of the figure
we know that
The area of the figure is equal to the area of three squares
so
![A=3[4^2]=48\ cm^2](https://tex.z-dn.net/?f=A%3D3%5B4%5E2%5D%3D48%5C%20cm%5E2)
Part 2) Find the perimeter of the figure
we know that
The perimeter of the figure is equal to two times the length side of the square, plus the circumference of six semicircles ( or the circumference of three circles)
Remember that
The circumference of a circle is equal to
where
D is the diameter of the circle
In this problem
so
![P=2(4)+3[\pi(4)]=(8+12\pi)\ cm](https://tex.z-dn.net/?f=P%3D2%284%29%2B3%5B%5Cpi%284%29%5D%3D%288%2B12%5Cpi%29%5C%20cm)
simplify
Answer:
standard deviation- you can see how far each number varies, on average, from the average value of the list
median- calculates the average of the two numbers in the middle of a set of even count of numbers
mode- this function shows the most frequency occurring number in a set of numbers
rank- with this function you can determine the position of a number in an unarranged array or set
Step-by-step explanation:
i took the test
