Answer:
The second graph
Step-by-step explanation:
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:
longest side=3.6
let ratio 3:5:6:9be 3x,5x,6xand9x
perimeter= sum of all side
9.2=3x+5x+6x+9x
9.2=23x
x=9.2÷23
x=0.4
9x=9×0.4=3.6
6x=6×0.4=2.4
5x=5×0.4=2
3x=3×0.4=1.2
<span>It can be assumed that the sample mean would would be approximately normal by the mean distribution theorem. The mean distribution theorem states that a large enough sample size will have a distribution and mean approximately the same as the population mean. A sample of 250, half the size of 500, is of sufficient size to assume the distribution mean will be approximately normal like the population mean.</span>
Answer:
D. (x, y) →
Step-by-step explanation:
A dilation is a transformation which reproduces an image of the same shape as the original, but might be of a different size.
When the dilation produces a smaller image is called a reduction.
Mathematically, a reduction occurs whenever the scale factor is between 0 and 1.
Out of the options, the only one that has a scale factor less than one is:
(x, y) →
Since the scale factor is 1/2 which is less than 1.
All other options are not reductions.
