Because the focus is (-2,-2) and the directrix is y = -4, the vertex is (-2,-3).
Consider an arbitrary point (x,y) on the parabola.
The square of the distance between the focus and P is
(y+2)² + (x+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:
Since cosecant is 1/sine and since cosine is just sine shifted by π/2, the reciprocal of the cosine, that is y = sec x must have the same range.
-- these are called same side exterior angles, which means they are supplementary.
x + 9 + 2x + 6 = 180
3x + 15 = 180
3x = 165
x = 55
so, option B.
Answer:
C
Step-by-step explanation:
A pentagon has 5 sides. Given that it is a regular pentagon, these 5 sides are equal.
The perimeter is the total length of all the sides of the pentagon. Since these 5 sides are all equal, we can divide the perimeter by 5 to obtain the length of a side of the pentagon.
Perimeter= 10x +15
Length of each side
= (10x +15) ÷5
= 2x +3