A <span>counterclockwise rotation of 270º about the origin is equivalent to a </span><span>clockwise rotation of 90º about the origin.
Given a point (4, 5), the x-value, i.e. 4 and the y-value, i.e. 5 are positive, hence the point is in the 1st quadrant of the xy-plane.
A clockwise rotation of </span><span>90º about the origin of a point in the first quadrant of the xy-plane will have its image in the fourth quadrant of the xy-plane. Thus the x-value of the image remains positive but the y-value of the image changes to negative.
Also the x-value and the y-value of the original figure is interchanged.
For example, given a point (a, b) in the first quadrant of the xy-plane, </span><span>a counterclockwise rotation of 270º about the origin which is equivalent to a <span>clockwise rotation of 90º about the origin will result in an image with the coordinate of (b, -a)</span>
Therefore, a </span><span>counterclockwise rotation of 270º about the origin </span><span>of the point (4, 5) will result in an image with the coordinate of (5, -4)</span> (option C)
Answer: 156 miles
Step-by-step explanation:
Given, A group of cyclists went bike riding during a 7-day vacation.
Total distance they biked in first three days = 131 miles
Total distance they biked by the end of the vacation ( i.e. in 7 days ) = 287 miles
Then, the total distance they biked in last four days would be=
(Total distance they biked in 7 days ) - (Total distance they biked in first 3 days )
= 287 - 131 miles
= 156 miles
Hence, they biked 156 miles in last 4 days.
Answer:
( u ÷ 3) times 7
Step-by-step explanation:
Must know what u equals to find actual answer to equation.
12.56 is less than 125.6 which could also be written as 12.56<125.6. 12.56 comes farther left on the number line and is of lesser value when compared to the number 125.6.
Answer: The triangles are reflected across the line y = x
Step-by-step explanation:
I used wolfram to calculate it for me. I used the bottom right point of the triangle.
