Option B: a counterclockwise rotation of 90° about the origin
Explanation:
From the graph, we can see the coordinates of the figure A are (0,2), (-1,6) and (-4,4)
The coordinates of the figure A' are (-2,0), (-6,-1) and (-4,-4)
<u>Option B: a counterclockwise rotation of 90° about the origin
</u>
The transformation rule for a coordinate to reflect a counterclockwise rotation of 90° about the origin is given by

Let us substitute the coordinates of the figure A
Thus, we have,



Thus, the resulting coordinates are equivalent to the coordinates of the figure A'.
Therefore, the figure is a counterclockwise rotation of 90° about the origin
.
Hence, Option B is the correct answer.
If I remember correctly it is equal
Answer:
Step-by-step explanation:
Let the speed in the morning be s, then in the evening it is s - 4
<u>The distance is equal both directions:</u>
- 45 min *s = 1 hr 10 min *(s - 4)
<u>Time in hours:</u>
- 45*1/60*s = (1 + 10*1/60)(s - 4)
- 3/4s = 7/6s - 7/6*4
<u>Multiply all terms by 12 to clear fraction:</u>
- 9s = 14s - 56
- 5s = 56
- s = 56/5
- s= 11.2 mph
<u>The distance is:</u>
- 3/4*11.2 = 0.75*11.2 = 8.4 miles
Answer:
The person bikes 20 miles in an hour
Step-by-step explanation: