Refer to the diagram shown below.
The directrix is y = -4 and the focus is (-2, -2).
Therefore the vertex is at (-2, -3).
Consider an arbitrary point (x,y) on the parabola.
The square of distance from the focus to the point is
(x+2)² + (y+2)²
The square of the distance from the point to the directrix is
(y+4)²
Therefore
(y+4)² = (y+2)² + (x+2)²
y² + 8y + 16 = y² + 4y + 4 + (x+2)²
4y = (x+2)² - 12
y = (1/4)(x+2)² - 3
Answer:
Well there is a time difference between Korea and Colorado. So when the man leaves Korea it is 4:30 pm but when he reaches Colorado the next day, it is 4:15 pm. I hope this helps you!
It can be written as 12/100
or reduced to 6/50
or reduced even further to 3/25
Answer:
A = 139.25 cm^2
Step-by-step explanation:
The composite shape is made up of a square with side 10 cm and a semicircle with diameter 10 cm. The area of the composite shape is the sum of the two areas. The diameter of the semicircle is the side of the square, and the radius of the circle is half of the diameter.
A = s^2 + (1/2)(pi)r^2
r = d/2 = s/2
A = (10 cm)^2 + (1/2)(3.14)(10 cm/2)^2
A = 100 cm^2 + (1/2)(3.14)(25 cm^2)
A = 139.25 cm^2
It is a right scalene because all of its measures are all different, which makes it a scalene. And what makes it a RIGHT scalene is that it has one right angle!