Answer: no rotation because only reflections through the center of a square can map it onto itself
Answer:
C. a rotation 180° clockwise about the origin followed by a reflection across the line y = x
Step-by-step explanation:
Let us assume that the coordinate of A in triangle ABC is A(x, y)
A) If there is a reflection across line y = x, the new coordinate is at A'(y, x).
If a reflection across the line y = -x is then followed, the new coordinate is at A"(-x, -y)
B) If there is a reflection across line x axis, the new coordinate is at A'(x, -y).
If a reflection across the line y axis is then done, the new coordinate is at
A"(-x, -y)
C) If there is a rotation 180° clockwise about the origin, the new coordinate is at A'(-x, -y).
If a reflection across the line y = x is then followed, the new coordinate is at A"(-y, -x)
D) B) If there is a reflection across line y axis, the new coordinate is at A'(-x, y).
If a reflection across the line x axis is then done, the new coordinate is at
A"(-x, -y)
Since only option C has a different result from the remaining options, hence option C would not five triangle A'B'C'
Answer:
C. a rotation 180° clockwise about the origin followed by a reflection across the line y = x
Step-by-step explanation:
Let us assume that the coordinate of A in triangle ABC is A(x, y)
A) If there is a reflection across line y = x, the new coordinate is at A'(y, x).
If a reflection across the line y = -x is then followed, the new coordinate is at A"(-x, -y)
B) If there is a reflection across line x axis, the new coordinate is at A'(x, -y).
If a reflection across the line y axis is then done, the new coordinate is at
A"(-x, -y)
C) If there is a rotation 180° clockwise about the origin, the new coordinate is at A'(-x, -y).
If a reflection across the line y = x is then followed, the new coordinate is at A"(-y, -x)
D) B) If there is a reflection across line y axis, the new coordinate is at A'(-x, y).
If a reflection across the line x axis is then done, the new coordinate is at
A"(-x, -y)
Since only option C has a different result from the remaining options, hence option C would not five triangle A'B'C'
For this case we have the following quadratic equation:
Rewriting the equation we have:
From here, we have:
Substituting values in the quadratic equation we have:
Rewriting the equation we have:
Answer:
The values of x are given by:
Answer:
Is C.
Ccccccccccccccc
h(x) = x^{2] - 2x - 8
Plot the x-intercept(s), y-intercept, vertex, and axis of symmetry of the function.
30%: Fuel
20%: Finance
10%: Maintenance (service, repairs, tyres)
Suppose the fuel price increases from $1.50 to $1.60 per litre.
How much does this add to the total operating cost per year?