QR has the endpoints Q(–10, 7) and R(1, –4). Gabrielle found the x-coordinate of the point that partitions the directed line segment QR in the ratio 2:3. Her work is shown below. 1. x = (x2 – x1) + x1

2. =(1 – (–10)) + (–10)

3. =(11) – 10

4. = =

The x-coordinate of the point P that partitions the directed line segment QR in the ratio 2:3 is , or
–5.6.

The y-coordinate of the point P is
.

the answer is b

step-by-step explanation:

i think it will be 4feet long of what i comprehend

a and c

for infinitely many solutions we require both left and right sides to be equal

distribute and simplify

a

14 - 8x = 20 - 8x - 6 = 14 - 8x ← both sides equal so infinite solutions

b

6x - 54 = 6x - 54 + x = 7x - 54 ← not equal

c

4x + 16 = 4x + 10 + 6 = 4x + 16 ← both sides equal so infinite solutions

d

5x - 40 + 10 = 5x + 10

5x - 30 = 5x + 10 ← not equal