What is the equation of a line through the points (0, 9) and (3, 0)?
2 answers:
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Answer:
Distance from the airport = 894.43 km
Step-by-step explanation:
Displacement and Velocity
The velocity of an object assumed as constant in time can be computed as
Where is the displacement. Both the velocity and displacement are vectors. The displacement can be computed from the above relation as
The plane goes at 400 Km/h on a course of 120° for 2 hours. We can compute the components of the velocity as
The displacement of the plane in 2 hours is
Now the plane keeps the same speed but now its course is 210° for 1 hour. The components of the velocity are
The displacement in 1 hour is
The total displacement is the vector sum of both
The distance from the airport is the module of the displacement:
Answer:
They are represented by downward parabola
They have the same equations of line of symmetry
Their vertices have same x-coordinates but different y-coordinates
They have the same domains
They have different ranges
They have different maximum values at same x values
The graph of y = -2x² + 4 is the image of the graph y = -2x² after translation 4 units up
Step-by-step explanation:
y = -2x² is a quadratic equation which represents by a parabola
From the red graph:
The graph of y = -2x² is represented by downward parabola
It has a maximum vertex (0 , 0)
The line of symmetry at x = 0
Its maximum value = 0 at x = 0
Its domain is {x: x ∈ R}
Its range is {y: y ≤ 0}
From the blue graph:
The graph of y = -2x² + 4 is represented by down ward parabola
It has a maximum vertex (0 , 4)
The line of symmetry at x = 0
Its maximum value = 4 at x = 0
Its domain is {x: x ∈ R}
Its range is {y: y ≤ 4}
From the two graphs
They are represented by downward parabola
They have the same equations of line of symmetry
Their vertices have same x-coordinates but different y-coordinates
They have same domains
They have different ranges
They have different maximum values at same x values
The graph of y = -2x² + 4 is the image of the graph y = -2x² after translation 4 units up
