Answer:
- rotate CCW 90°, reflect across the x-axis
- (x, y) ⇒ (-y, -x) . . . . . both transformations together
Step-by-step explanation:
The vertex order ABC is clockwise in the original figure and also in the first image: A'B'C'. The altitude from AC to B is up in the original and left in the first image, indicating a rotation 90° CCW.
The first transformation is a rotation 90° CCW.
The vertex order of A''B''C'' is CCW, indicating a reflection. The direction of the altitude from A''C'' to B'' is still to the left, so the reflection must be over a horizontal line. We find the x-axis bisects the segments A'A'', B'B'', and C'C'', confirming that it is the line of reflection.
The second transformation is reflection across the x-axis.
_____
Algebraically, the transformations are ...
1st: (x, y) ⇒ (-y, x)
2nd: (x, y) ⇒ (x, -y)
Both together: (x, y) ⇒ (-y, -x).
0.01 of a gram is your answer.
Answer:
x = 16/5
Step-by-step explanation:
9x – 6 = 4x + 10 <-- Combine like terms on one side
5x = 16 <-- Isolate x
x = 16/5
Answer:
A' will be located 10 units from point A along ray PA
Step-by-step explanation:
we know that
The scale factor is equal to 3
To obtain PA', multiply PA by the scale factor
so
PA'=PA*3
PA=5 units
substitute
PA'=(5)*3=15 units
AA'=PA'-PA=15-5=10 units
therefore
A' will be located 10 units from point A along ray PA
This region as the same area as the one in your previous question.
Pr[1 < <em>Z</em> < 2] = Pr[-2 < <em>Z</em> < -1] ≈ 0.14
