Given circle a, centered at a(7, 1) with a radius of 8 cm and circle b, centered at b(-1, 3) with a diameter of 16cm, determine which of the following transformations would establish that they are similar circles.

Hence, we need to translate circle A 8 units left and 2 units up.

Step-by-step explanation:

" Two circles are said to be similar if by the translation and by the scale factor one circle can be mapped onto another "

Now we are given circle A centered at A(7,1) with a radius of 8 cm.

Circle B, centered at B(-1, 3) with a diameter of 16 cm i.e.the radius of the circle is 8 cm.

As both the circles are of equal radius hence we just need to perform the translation to map one circle onto another.

So we have to translated circle A 8 units left and 2 units up to get the circle B.

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.