A jet travels 470 miles in 2 hours. At this rate, how far could the jet fly in 11 hours?
1 answer:
Answer:
The jet will cover 2585 miles in 11 hours.
Step-by-step explanation:
Given that:
Distance travelled by jet in 2 hours = 470 miles
Speed of jet =
Speed of jet = 470/2
Speed of jet = 235 miles per hour
Time = 11 hours
Distance travelled in 11 hours = Speed * Time
Distance = 235 * 11
Distance = 2585 miles
Hence,
The jet will cover 2585 miles in 11 hours.
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Answer:
El móvil B necesita 60 segundos para alcanzar al móvil A y le alcanza una distancia de 2400 metros con respecto al punto de referencia.
Step-by-step explanation:
Supóngase que cada movil viaja en el mismo plano y que el móvil B se localiza inicialmente en la posición , mientras que el móvil A se encuentra en la posición
. Ambos móviles viajan a rapidez constante. Si el móvil B alcanza al móvil A después de cierto tiempo, el sistema de ecuaciones cinemáticas es el siguiente:
Móvil A
Móvil B
Donde:
,
- Posiciones finales de cada móvil, medidas en metros.
- Tiempo, medido en segundos.
Si , el tiempo requerido por el móvil B para alcanzar al móvil A es:
El móvil B necesita 60 segundos para alcanzar al móvil A.
Ahora, la distancia se obtiene por sustitución directa en cualquiera de las ecuaciones cinemáticas:
El móvil B alcanza al móvil A a una distancia de 2400 metros con respecto al punto de referencia.
Part A:
The first step of completing the square is writing the expression
as 
which expands to 
.
We have the first two terms exactly the same with the function we start with:
and 
but we need to add/subtract from the last term, 49, to obtain 41.
So the second step is to subtract -8 from the expression
The function in completing the square form is
Part B:
The vertex is obtained by equating the expression in the bracket from part A to zero
It means the curve has a turning point at x = -7
This vertex is a minimum since the function will make a U-shape.
A quadratic function
can either make U-shape or ∩-shape depends on the value of the constant 
that goes with . When is (+), the curve is U-shape. When (-), the curve is ∩-shape
Part C:
The symmetry line of the curve will pass through the vertex, hence the symmetry line is
This function is shown in the diagram below
The first step of completing the square is writing the expression
We have the first two terms exactly the same with the function we start with:
So the second step is to subtract -8 from the expression
The function in completing the square form is
Part B:
The vertex is obtained by equating the expression in the bracket from part A to zero
It means the curve has a turning point at x = -7
This vertex is a minimum since the function will make a U-shape.
A quadratic function
Part C:
The symmetry line of the curve will pass through the vertex, hence the symmetry line is
This function is shown in the diagram below