Answer:
see attached
Step-by-step explanation:
The equation is in the form ...
4p(y -k) = (x -h)^2 . . . . . (h, k) is the vertex; p is the focus-vertex distance
Comparing this to your equation, we see ...
p = 4, (h, k) = (3, 4)
p > 0, so the parabola opens upward. The vertex is on the axis of symmetry. That axis has the equation x=x-coordinate of vertex. This tells you ...
vertex: (3, 4)
axis of symmetry: x = 3
focus: (3, 8) . . . . . 4 units up from vertex
directrix: y = 0 . . . horizontal line 4 units down from vertex
Answer: 1.125 miles
Step-by-step explanation:
2/3 hour___3/4 miles
1 hour___X= 1.125 miles
(1*3/4)/(2/3) = 1.125
Answer: 320 boys
Step-by-step explanation: you would first take the total number (720) and divide it by the total number shown in the ratio (5+4=9)
720/9= 80
You would then take 80 and multiply it by 4 because that is the number representing the boys
80*4= 320
(f+g)(x) = f(x) + g(x) = x + 11 + 3x^2
(f+g)(5) = f(5) + g(5) = 5 + 11 +3(5^2) = 91