A rectangle with vertices A (4, 8), B (16, 8), C (16, 20) and D (4, 20) is dilated about the origin as the center. Find the vertices of the image if the scale factor is 1/4 ? A’ (1, 2), B’ (4, 8), C’ (4, 5) and D’ (1, 5)
A’ (1, 2), B’ (4, 2), C’ (4, 5) and D’ (1, 5)
A’ (1, 2), B’ (4, 2), C’ (4, 5) and D’ (4, 10)
A’ (2, 2), B’ (4, 2), C’ (4, 5) and D’ (1, 5)

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)

the arc length is found by finding the circumference of the full circle (2xpixradius) and then dividing by 4 to find just one quarter of the circle (90 degrees).

the number of possible outcomes that do not show a 1 on the first spinner and show the number 4 on the second spinner is 2.

spinner 1 spinner 2

1                     1

1                     2

1                     3

1                     4

2                   1

2                   2

2                   3

2                   4   = not 1, and 4

3                   1

3                   2

3                   3

3                   4 = not 1, and 4

only 2 outcomes have passed the given condition.

step-by-step explanation: