Answer:
f(x) = 9(x -1/3)^2 -3
Step-by-step explanation:
In vertex form the equation of a quadratic with vertical scale factor "a" and vertex (h, k) is ...
y = a(x -h)^2 +k
To make the equation have (1, 1) as a solution, we need to find the value of "a". We can put the point coordinates in the equation and solve for "a":
1 = a(1 -1/3)^2 -3 . . . . . for (h, k) = (1/3, -3) as given
1 = (4/9)a -3 . . . . simplify
4 = (4/9)a . . . . . . add 3
9 = a . . . . . . . . . . multiply by 9/4
The quadratic function you desire is ...
f(x) = 9(x -1/3)^2 -3
Un objeto cae accidentalmente de un vehículo con una velocidad de
50 km / hy recorra 20 m antes de detenerse.
Calcular:
a) La aceleración:
b) El tiempo que tarda en detenerse:
Responder:
1.439 s
-9,645 m / s²
Explicación paso a paso:
Dado que:
Velocidad en m / s = (50 * 1000) / 3600 = 13.899 m / s
Distancia (d) = 20
Tiempo = distancia / velocidad
Tiempo = 20 / 13.889
Tiempo = 1.439 s
Aceleración (a):
Cambio de velocidad / tiempo empleado
= (0 - 13,889) / 1,439
- 13.889 / 1.439
= -9,645 m / s²
Answer:
y=-2x+3
Step-by-step explanation:
the points of intersect are (0,3) and (2,-1) then i made it into slope
3+1/0-2
4/-2
-2
substitute (0,3)
3=b
y=-2x+3
The pythagorean theorem is only used for right triangles? however, you can find the equation with the info given. a circle is written as (x-h)^2+(y-k)^2=r^2. in this scenario, h=-2, k=5, and r=4.
Your final equation would be (x+2)^2+(y-5)^2=16
ANSWER:
We know that,
Speed = Distance/Time
So, Time taken = 20kmh-¹/160km
