Does anyone know what's the answer to number 9? It's numeric word problems.
2 answers:
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<u><em>The coordinates of the points A and B are not given. We'll assume: A(3,1) B(12,-5)</em></u>
Answer:
<em>The coordinates of E are (6,-1)</em>
Step-by-step explanation:
<u>Partition of a Segment</u>
The length of segment directed from A(xa,ya) to B(xb,yb) can be decomposed in its x,y coordinates:
If a point E is to be in the segment and partition it into a ratio 1:2, then
\displaystyle \frac{x_{AE}}{{x_{EB}}=\frac{y_{AE}}{{y_{EB}}=\frac{1}{2}
But
Then we set the equation:
Operating and rearranging
Solving
Similarily
The coordinates of E are (6,-1)