Ab has coordinates a(-15,5) and b(0-10). find the coordinates of a' b'
after a dilation with a scale factor of centered at the origin.

Step-by-step explanation:

By definition, a dilation is a transformation in which the sizes change but the shape of the image and the pre-image is the same.

In this case, you have the following coordinates of AB:

You know that the scale factor (which can be represented with "k") that was used to dilate AB was:

And the dilation was centerered at the origin.

Therefore, in order to find the coordinates of the image A' B' you must multiply the coordinates of each point of the pre-image AB by the scale factor given.

Then, these are:

A'→

B'→

if gloria has "carry over" minutes, (that is, any minutes paid for but not used in a month can be applied to her payment for minutes in the next month,) her total usage for the three months is: total minutes = 320 + 243 + 489 = 1052 minutes number of 200 minute blocks = 1052/200 = 5 r52 (that is 5 with a remainder of 52) rounding up the number of 200 minute blocks gives her usage for the three months as 6 blocks. the cost for six blocks is 6 x $25 = $150 she also has 200 - 52 or 148 carry over minutes if gloria pays each month and unused minutes are lost, applying the rounding up procedure to each month gives: first month usage of 320 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 second month usage of 243 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 third month usage of 489 minutes rounds up to 3 blocks of 200 minutes for a payment of 3 x $25 = $75 total payments for the three months are $50 + $50 + $75 = $175 get the plan with carry over minutes!