These are (hopefully) the last ones I need help with. I have over 100 questions and I'm just having a difficult time. Sorry.
+9466 Second one:
point P = (-7, 3)
point Q = (2, 1)
| _____Ratio_____ | Coordinates | |
| 2:7 | x-coordinate = \(-7+\frac{2}{2+7}\cdot|-7-2|\,=\,-7+\frac29\cdot9\,=\,-7+2\,=\,-5\) y-coordinate = \(3-\frac{2}{2+7}\cdot|3-1|\,=\,3-\frac29\cdot2\,=\,3-\frac49\,=\,\frac{23}{9}\) |
|
| 3:5 | x-coordinate = \(-7+\frac{3}{3+5}\cdot|-7-2|\,=\,-7+\frac38\cdot9\,=\,-7+\frac{27}{8}\,=\,-\frac{29}{8}\) y-coordinate = \(3-\frac{3}{3+5}\cdot|3-1|\,=\,3-\frac38\cdot2\,=\,3-\frac34\,=\,\frac94\) |
It looks like you have found the same coordinates out to the side? 
+128474 First one
SU = LN = sqrt [ (8 - 0)^2 + (6 - 0)^2 ] = sqrt [ 64 + 36 ] = sqrt [ 100 ] = 10
And
TV = MP = sqrt [ (6 - 2)^2 + ( 4 - 2)^2 ] = sqrt [ 4^2 + 2^2 ] = sqrt [20 ] = 2sqrt ( 5)
"D" would be correct except that I think the answer for TV is incorrect
+9466 Second one:
point P = (-7, 3)
point Q = (2, 1)
| _____Ratio_____ | Coordinates | |
| 2:7 | x-coordinate = \(-7+\frac{2}{2+7}\cdot|-7-2|\,=\,-7+\frac29\cdot9\,=\,-7+2\,=\,-5\) y-coordinate = \(3-\frac{2}{2+7}\cdot|3-1|\,=\,3-\frac29\cdot2\,=\,3-\frac49\,=\,\frac{23}{9}\) |
|
| 3:5 | x-coordinate = \(-7+\frac{3}{3+5}\cdot|-7-2|\,=\,-7+\frac38\cdot9\,=\,-7+\frac{27}{8}\,=\,-\frac{29}{8}\) y-coordinate = \(3-\frac{3}{3+5}\cdot|3-1|\,=\,3-\frac38\cdot2\,=\,3-\frac34\,=\,\frac94\) |
It looks like you have found the same coordinates out to the side?
