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:
3,2,1,6 are all factors of 6.
Answer:
3577
Step-by-step explanation:
From the question given above, the following data were obtained:
7•2ᶦ
i = 0, 1, 2, .., 8
Sum =?
The sum can be obtained as follow:
7•2ᶦ
i = 0
7•2⁰ = 7 × 1 = 7
i = 1
7•2ᶦ = 7•2¹ = 7 × 2 = 14
i = 2
7•2ᶦ = 7•2² = 7 × 4 = 28
i = 3
7•2ᶦ = 7•2³ = 7 × 8 = 56
i = 4
7•2ᶦ = 7•2⁴ = 7 × 16 = 112
i = 5
7•2ᶦ = 7•2⁵ = 7 × 32 = 224
i = 6
7•2ᶦ = 7•2⁶ = 7 × 64 = 448
i = 7
7•2ᶦ = 7•2⁷ = 7 × 126 = 896
i = 8
7•2ᶦ = 7•2⁸ = 7 × 256 = 1792
Sum = 7 + 14 + 28 + 56 + 112 + 224 + 448 + 896 + 1792
Sum = 3577
For 121212 guests we need 555 liters,for 363636 guests how many liters
Guests Soda
121212 555
363636 x
So 121212*x=363636*555
x=363636*555/121212
x=555*3
x=1665
Formula : 2 x pie x radius
1. 2x3.14x3=18.84in
2.2x3.14x6=36.48yd
3.2x3.14x4=25.12ft
4.2x3.14x12=75.36yd