M (3, –6) is rotated 90° counterclockwise. (x, y) → (–y, x) 1. Switch the x- and y-coordinates: (6, –3) 2. Multiply the new x-coordinate by –1: (6(–1), –3) 3. Simplify: (–6, –3) Mary Beth used the mapping rule to find the coordinates of a point that had been rotated 90° counterclockwise around the origin. Examine the steps to determine whether she made an error. The student made .

The answer is below

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation is rotation, reflection, translation and dilation.

If a point  (x, y) is rotated 90° counterclockwise, its new coordinate is (–y, x).

Give point M (3, –6) is rotated 90° counterclockwise:

Step 1: Interchange the x- and y-coordinates to get (-6, 3)

Step 2: Multiply the new x-coordinate by –1 to get (-6(–1), 3)

Step 3: Simplify to get (6, 3)

Therefore she made an error in step 1

x/3-10=8

x/3=18

x=48

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.