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.

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)