Yay
directix x=5
that means the parabola opens left or right
the equation is
(y-h)²=4p(x-h)
alrighty
vertex is (h,k)
p is distance from focus to vertex
also distance from vertex to directix
if p>0 then the parabola opens to the right and focus is to the right of directix
if p<0 then the parabola opens to the left and focus is to the left of directix
alrighty
the distance between directix and focus divided by 2=p
hmm, note which one is to the left or right of which
directix is x=5
focus is (2,-3) where x=2
focus is to the left of directix
alrighty
fro m 5 to 2 the distance is 3
3/2=1.5
and since the focus is to the left of the directix, it is -1.5
so the parabols opens to the left
the vertex is 1.5 untis to the right of the focus
so vertex is at (3.5,-3)
so
equation is
(y-(-3))²=4(-1.5)(x-3.5)
(y+3)²=4(-1.5)(x-3.5)
Answer:
The speed of Kali is 30 mph.
Step-by-step explanation:
Let, the speed of Kali be "x", then speed of Ndiba will be:
Speed of Ndiba = x + 15 mph
If, the time for travel for Ndiba is 2 hrs, when he catches Kali, and he left 1 hour later than Kali, then then time traveled by Kali at that instant will be 2+1 = 3hrs.
At the point of meeting both will have covered same distance.
Distance Covered by Kali = Distance Covered by Ndiba
(Speed of Kali)(Time traveled by Kali) = (Speed of Ndiba)(Time traveled by Ndiba)
(x)(3) = (x +15)(2)
3x = 2x +30
<u>x = 30 mph</u>
The correct answer is, actually 30 mph, by the solution shown above.
8 children because
11 3/7 is equal to 83/14
If each child receives 10/14
83/10
= 8.3
There can't be .3 of a child so round it and you get 8!
Hope this helps!
Step-by-step explanation:
15t + 30 = 20t | -15t
30 = 5t
t = 30/5 = 6
20 + 5t = -6t + 86 | + 6t
20 + 11t = 86 | -20
11t = 66
t = 6
18t + 20 = 24t + 50 | -18t
20 = 6t + 50 | -50
-30 = 6t
t = -30/6 = -5
18t - 2 = 10t + 54 | -10t
8t - 2 = 54 | +2
8t = 56
t = 56/8 = 7
7t - 5 = 15t + 91 | -7t
-5 = 8t + 91 | -91
-96 = 8t
t = -96/8 = -12