Answer:
Rate at which the shadow is moving = -5 ft/s.
Step-by-step explanation:
I can do the second part for you:
If the distance of the woman from the wall is Xp , the length of the shadow is Xs and the distance from the tip of the shadow to the wall is X we have the relation:
X = Xp + Xs.
We need to find X' (the rate that the tip of the shadow is moving). at Xp = 16 and X'p = -4 ft/s.
We need a relation between X and Xp so we have to eliminate Xs.
By similar triangles 5.5 / 27.5 = Xs / x
1/5 = Xs/x
Xs = x /5 so substituting in the above relation:
X = Xp + X/5
4X/5 = Xp
X = 5Xp / 4
Taking derivatives:
X' = 5X'p / 4
Now X'p is given as - 4 so
X' = -20/4 = -5 ft/s.
Step-by-step explanation:
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Answer:
Axis of symmetry for the functions f(x) and h(x) are x = 4 and x = -2 respectively.
Step-by-step explanation:
Function f(x) = -2(x - 4)² + 2
Vertex of the graph → (4, 2)
Since line of symmetry of the graph is defined by the x-coordinate of the vertex.
Therefore, x = 4 will be the line of symmetry of the function 'f'.
Second function 'h' has been given in the graph.
Vertex of the function from the graph → (-2, 2)
Therefore, line of symmetry will be x = -2
Answer:
4x² - 6x + 2
It might be arranged differently but that's the answer
