Answer:
Step-by-step explanation:
The vertex form of a parabola is given by y = a(x - h)^2 + k, where (h, k) is the vertex.
Given vertex at (2,-3), h = 2, k = -3
y = a(x - 2)^2 + (-3) = a(x - 2)^2 - 3
The parabola passes through (0,5) so
5 = a(0 - 2)^2 - 3
5 = 4a - 3
4a = 8
a = 2
The parabola equation in vertex form:
y = 2(x - 2)^2 - 3
Opposite sides of angles are equal so
x+12=4x-48
12+48=4x-x
60=3x
x=60/3
x=20
Answer:
x^2-12x+27
Step-by-step explanation:
(x-3)(x-9)=x^2-3x-9x+27=x^2-12x+27
Answer:
Your competitor's roller coaster The maximum height of its heel is 80m. Horizontal distance between the starting point and the ending point is about 160m. ... 2) As parabola opens downward, vertex will be its maximum point. 3) Therefore, as the maximum height of its heel is 80m, y value of vertex will be 80.
Step-by-step explanation:
Step-by-step explanation:
171 km/h
travel distance = 855 km
855 / 171 = 5 hours
it took him 5 hours to fly the 855 km (theoretically to the hospital).
normally, with a plane, you can't land on or at a hospital. you would need a helicopter to be able to do that.
so, he could only fly to a nearby airport, and then travel from there to the hospital. but we have no information about that.