Δabc is dilated by a scale factor of 0.25 with the origin as the center of dilation, resulting in the image δa′b′c′. if a = (-1, -5), b = (2, 1), and c = (14, 17 ), what is the length of b'c'?

5

Step-by-step explanation:

To find B and C prime, you must multiply them by .25, or 1/4.

B' =  

(-2 x .25),(1 x .25)

I did mine in fraction form, because it will prove to be more useful in future mathematics.

B' = (1/2  ,  1/4)

Repeat the process with C.

C' =

(14 x .25),(17 x .25)

C' =

(7/2  ,  17/4)

You only need to focus on B and C because you are finding the length of B'C'.

The formula for distance is the square root of x to the sub of 2 minus x to the sub of 1 squared minus y to the sub of 2 minus y to the sub of 1 square.

x2 -  x1 =  7/2  -  1/2  =  6/2  =  3 squared  =  9

y2 - y1 = 17/4 - 1/4 = 16/4  =  4 squared = 16

16 + 9  = 25

Square root of 25 is 5.

Therefore, the distance is 5.

56

step-by-step explanation:

the option best identifies the textual evidence that supports this conclusion is c.) when an argument is over, how many weighty reasons does a man recollect which his heat and violence made him utterly forget? in order to recognize textual evidence is to identify the topic sentence where the author states the main idea. textual evidence is what supports the topic sentence or main idea of a passage.