Answer:
One less zebra
Step-by-step explanation:
T z l
0 200 220
1 160 175 (subtract 40 from 200 and 45 from 220)
2 120 130
3 80 85
4 40 = 40 <===== lion has zebra lunch before the river is reached
Zdistance = 200 - 40s
Ldistance = 220 - 45 s where 's' is seconds
Answer:
2^24 = 16,777,216 bacterias.
Step-by-step explanation:
So we start with 1 bacteria
after 1 hours: 2*1 = 2
after 2 hours: 2*2 = 2^2 = 4
after 3 hours: 2*2^2 = 2^3
after n hours: 2^n
Since one day has 24 hours we have n = 24 and total number of bacteria will
be: 2^24 = 16,777,216 bacterias.
Answer:

Step-by-step explanation:
∵ The quadratic equation form is :
y = [1/2(b - k)] (x - a)² + (b + k)/2
Where (a , b) is the focus and directrix y = k
∵ The focus is (4 , -3) and directix is y = -6
∵ 
∴ 
∴ 
another way:
Assume that (x , y) is the general point on the parabola
∵ The distance between the directrix and (x , y) = the distance between the focus and (x , y)
By using the distance rule:
∵ (y - -6)² = (x - 4)² + (y - -3)² ⇒ (y + 6)² = (x - 4)² + (y + 3)
∴ y² + 12y + 36 = (x - 4)² + y² + 6y + 9
∴ 12y - 6y = (x - 4)² + 9 - 36
∴ 6y = (x - 4)² - 27 ⇒ ÷ 6
∴ y = 1/6 (x - 4)² - 9/2