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).
Divide Numerator and Denominator by 5
3445 / 5 = 689
15 / 5 = 3
689/3
Answer:
10%
Step-by-step explanation:
Answer:
Sum (from n = 0 to n = 33) of 10 + 15 * n
Step-by-step explanation:
The sigma notation is to express an arithmetic series as a summation, in this case we can see that it starts at 10 and ends at 505.
What we can notice is that the values are increasing by 15 units, therefore that will be the proportion that accompanies "n".
Now, we must calculate, how many times is "n", in the final value, for this we subtract the initial value, that is 10 and divide it by 15.
505 - 10 = 495/15 = 33
So "n" goes up to 33
So that series is expressed like this:
Sum (from n = 0 to n = 33) of 10 + 15 * n
Answer:
x = 77/10
Step-by-step explanation:
Hope this helps!
