A rectangle has vertices E(-4, 8), F(2, 8), G(2, -2) and H(-4, -2). The rectangle is dilated with the origin as the center of dilation so that G' is located at (5, -5). Which algebraic representation represents this dilation?

The dilation on any point of the rectangle is .

Step-by-step explanation:

From Linear Algebra, we define the dilation of a point by means of the following definition:

(1)

Where:

- Coordinates of the point G, dimensionless.

- Center of dilation, dimensionless.

- Scale factor, dimensionless.

- Coordinates of the point G', dimensionless.

If we know that , and , then scale factor is:

The dilation on any point of the rectangle is:

(2)

The dilation on any point of the rectangle is .

see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.