I think the 40 30 20 should be going up not down like this 20 30 40
Answer:
The coordinates of point E on CD are
.
Step-by-step explanation:
Let be
,
and
. The given ratio can be translated vectorially into this:
![\overrightarrow {CE} = \frac{5}{3} \cdot \overrightarrow{ED}](https://tex.z-dn.net/?f=%5Coverrightarrow%20%7BCE%7D%20%3D%20%5Cfrac%7B5%7D%7B3%7D%20%5Ccdot%20%5Coverrightarrow%7BED%7D)
And let consider that each point is a vector with respect to origin:
and ![\vec {D} = (-7,11)](https://tex.z-dn.net/?f=%5Cvec%20%7BD%7D%20%3D%20%28-7%2C11%29)
Then,
![\vec E -\vec C = \frac{5}{3}\cdot (\vec D -\vec E)](https://tex.z-dn.net/?f=%5Cvec%20E%20-%5Cvec%20C%20%3D%20%5Cfrac%7B5%7D%7B3%7D%5Ccdot%20%28%5Cvec%20D%20-%5Cvec%20E%29)
![\vec E +\frac{5}{3}\cdot \vec E = \frac{5}{3}\cdot \vec D + \vec C](https://tex.z-dn.net/?f=%5Cvec%20E%20%2B%5Cfrac%7B5%7D%7B3%7D%5Ccdot%20%5Cvec%20E%20%3D%20%5Cfrac%7B5%7D%7B3%7D%5Ccdot%20%5Cvec%20D%20%2B%20%5Cvec%20C)
![\frac{8}{3}\cdot \vec E = \frac{5}{3}\cdot \vec D + \vec C](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B3%7D%5Ccdot%20%5Cvec%20E%20%3D%20%5Cfrac%7B5%7D%7B3%7D%5Ccdot%20%5Cvec%20D%20%2B%20%5Cvec%20C)
![\vec E = \frac{5}{8}\cdot \vec D + \frac{3}{8}\cdot \vec C](https://tex.z-dn.net/?f=%5Cvec%20E%20%3D%20%5Cfrac%7B5%7D%7B8%7D%5Ccdot%20%5Cvec%20D%20%2B%20%5Cfrac%7B3%7D%7B8%7D%5Ccdot%20%5Cvec%20C)
![\vec E = \frac{5}{8}\cdot (-7,11)+\frac{3}{8}\cdot (-1,-5)](https://tex.z-dn.net/?f=%5Cvec%20E%20%3D%20%5Cfrac%7B5%7D%7B8%7D%5Ccdot%20%28-7%2C11%29%2B%5Cfrac%7B3%7D%7B8%7D%5Ccdot%20%28-1%2C-5%29)
![\vec E = \left(-\frac{35}{8},\frac{55}{8} \right)+\left(-\frac{3}{8},-\frac{15}{8} \right)](https://tex.z-dn.net/?f=%5Cvec%20E%20%3D%20%5Cleft%28-%5Cfrac%7B35%7D%7B8%7D%2C%5Cfrac%7B55%7D%7B8%7D%20%20%5Cright%29%2B%5Cleft%28-%5Cfrac%7B3%7D%7B8%7D%2C-%5Cfrac%7B15%7D%7B8%7D%20%20%5Cright%29)
![\vec E = \left(-\frac{35}{8}-\frac{3}{8},\frac{55}{8}-\frac{15}{8} \right)](https://tex.z-dn.net/?f=%5Cvec%20E%20%3D%20%5Cleft%28-%5Cfrac%7B35%7D%7B8%7D-%5Cfrac%7B3%7D%7B8%7D%2C%5Cfrac%7B55%7D%7B8%7D-%5Cfrac%7B15%7D%7B8%7D%20%20%20%20%5Cright%29)
![\vec{E} = \left(-\frac{19}{4}, 5\right)](https://tex.z-dn.net/?f=%5Cvec%7BE%7D%20%3D%20%5Cleft%28-%5Cfrac%7B19%7D%7B4%7D%2C%205%5Cright%29)
The coordinates of point E on CD are
.
Hello, there!
5/4 = 1.25
So, we know that the answer is not A or B.
1.25 = 125%
Now, we know that the answer is not D ether.
So, the answer must be C.
I hope I helped!
Let me know if you need anything else!
~ Zoe
Answer:
-3/0 is the slope....or just -3.
Step-by-step explanation:
slope method = m= y2 - y1/ x2 - xm = 12 - 15/ 4 - 4 = -3/0 or just -3 simplified.