Given this triangle, which image is the result of a translation 8 units up and 6 units to the left, followed by a counterclockwise rotation of 180° about the origin?

D)

Step-by-step explanation:

Here is the catch in this case:

A 180°-rotation [no matter where you go] means that both figures must be facing in opposite directions, and on opposite sides of the graph:

Quadrant III → Quadrant I

Quadrant II → Quadrant

I am joyous to assist you anytime.

(w – 2.5)(w + 2.5)

(–4v – 9)(–4v + 9)

step-by-step explanation:

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.