Square rstu is shown below with a line ab drawn through its center. if the square is dilated using a scale factor of 1/4 and a line is drawn through the center of the new dilated figure, what relationship will that line have with line ab in the drawing below?

since that is y=0 and we are dilating by 1/4 the line is still y=0 because 0 times 1/4 is 0.

same line.

step-by-step explanation:

so you are also going to be dilating the points on that horizontal line by a scale factor of 1/4.   i'm going to identify 3 points on the line that is already given:

(-1,0) , (0,0) , (1,0)

take note this is a horizontal line; all of it's y-coordinates are 0. this line is y=0.

so we are going to multiply each point by 1/4.

these points keep that y-coordinate of 0 since 1/4 times 0 is 0. so this is still the same horizontal line y=0.

answer: 5

step-by-step explanation:

since, the range is the difference between the lowest and highest values of the given sample space.

and, here the sample space = { 3, 1, 0, 4, 1, 4, 2, 3, 0, 5, 0, 1, 1, 2, 0, 4, 1,4, 4 ,2 ,3 ,2 ,0 ,1 ,4 }

here, the highest value of the given sample = 5

and, the lowest value = 0

therefore, the range of the sample space = 5 - 0 = 5