The equation of the reflected ray is y+x = 6. Since based on the equation of the original ray is y-x=4 and the equation of the normal line y=5, the point where the normal line, the original ray and the reflected ray intersect is at point (1,5). By definition, substituting the normal line (y=5) and the point (1,5) to the given equations, y+x=6 satisfies the equality and therefore is the equation of the reflected ray
Answer:
D) 1 : 1
Step-by-step explanation:
Since it's 45-45-90 right triangle, it's an isosceles right triangle. An isosceles right triangle is a triangle that has two legs of equal length. So the ratio of the length of one leg to the length of the other leg is 1 : 1
1. ABCD is shifted some units down, and then some othe units left.
2. The figure is just moved, not reflected, not diluted. So the distances are preserved
3. ABCD is translated to OLMN mean that AB has been translated to OL, so length of LO=OL=AB= 6 units
Answer:
Increasing → (-∞, -0.5)
Decreasing → (-0.5, ∞)
Step-by-step explanation:
From the picture attached,
Vertex of the parabola represents the highest point of the curve of a quadratic function 'f'.
Left part from the vertex is increasing and the right side is increasing.
x-coordinates of the vertex,
x = -0.5
Therefore, graph of the function is increasing in the interval (-∞, -0.5)
And decreasing in the interval (-0.5, ∞).
