A) what is the image of (6,-12) after a dilation by a scale factor of 1/2 centered at the origin?B) The point A (-8,-5) is reflected over the point (0,-3) and it's image is point B. What are the coordinates of point B?

A) We calculate the scale point multypling the coordinates of the original point by the scale factor:

The transformed point is P'=(3,-6)

B) We have one point A=(-8,-5) that is reflected over a point C=(0,-3). The image is point B.

As it is reflected, the B point is at the same distance from C=(0,-3) than A.

We can see this in a graph:

A is at a distance of 8 units in the x-axis and 2 units in the y-axis.

Then, we add this distance to C (in the opposite direction from A) in order to get B.

B=(0,-3)+(8,2)=(8,-1).

The point B is (8,-1).

b) 1/3 * 1/5

step-by-step explanation:

each smallest part is 1/15 since the written one is 1/5 and it's divided by 3 equal parts. (1/5 )/3 = 1/15 = 1/3 * 1/5

it would take 7/10 of an hour too fill the pool.

step-by-step explanation: