Extended in which direction? Does 2/3 mean that it is being extended by 2/3 units? Or is it being stretched by an additional 2/3 of its current length (making it 5/3 its current length)?
Good Morning!!!!
my prof solved this but i didn't get it idk T,T
i must use division of a line segment.
"find the endpoint of the section joining A(2,3) & M(6,1) if it is extended to a distance 2/3 fro its own length."
got midterms coming up , this is the only thing that i didn't understand .please help ^^
thanks in advance!!!!
If $|AM|:|AP| = 3:5$, then you need to flip the fraction. $\dfrac{-2-x}{-2-6} = \dfrac{5}{3}$ and $\dfrac{-3-y}{-3-1} = \dfrac{5}{3}$.
Then $|AM| = \sqrt{(6-(-2))^2+(1-(-3))^2} = \sqrt{80}$ and $|AP| = \sqrt{\left(\dfrac{34}{3}-(-2)\right)^2+\left(\dfrac{11}{3}-(-3)\right)^2} = \sqrt{\dfrac{2000}{9}} = \sqrt{\dfrac{25}{9}\cdot 80} = \dfrac{5}{3}\sqrt{80}$ as desired.
Hello, mventurina1!
Find the endpoint of the section joining A(2,3) & M(6,1)
if it is extended to a distance 2/3 of its own length.
Going from A to M, we move:Code:| A | o(2,3) | : * | : * | -2: * | : * | : +4 * M | + . . . . . . . . . . . o(6,1) | : * ----+---------------------------:-------*-------- | : * B | + . . . . . . . o |
. . 4 units right,
. . 2 units down.
Going from M to B, we move:
. . units right,
. . units down.
Hence: .
Therefore: .