Line segment ab has endpoints a(7, 4) and b(2, 5). find the coordinates of the point that divides the line segment directed from a to b in the ratio of 1: 3. a) (7, 7 2 ) b) ( 9 2 , 5) c) ( 13 4 , 13 2 ) d) ( 23 4 , 17 4 )

(23/4, 17/4)

Step-by-step explanation:

The vector from A to B is ...

... V = B - A = (2-7, 5-4) = (-5, 1)

Point P that divides AB the way you want is 1/4 of that from A:

... P = A + (1/4)×V = (7, 4) + (-5/4, 1/4)

... P = (5 3/4, 4 1/4) = (23/4, 17/4)

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10

1 1/5

step-by-step explanation: