We place L on the segment, between J and K, in a way that JL = 3KL Ok so far?
Now we need to find the x-coordinate of point L.
Here is our original graph again. |dw:1439400224309:dw|
Since point L creates a ratio of 3:1 for JL to KL, and 3 + 1 = 4, then point L is 1/4 of the way from K to J. Ok with this?
The x-coordinate of point L is the same as the x-coordinate of the point below it on a horizontal line going from K to the x-coordinate of J. See figure below. |dw:1439400776719:dw|
Just like KL is 1/4 of KJ, so KL' is also 1/4 of KJ'.
We need to find the x-coordinate of point L'. The x-coordinate of point L is the same.
Along the horizontal line J'K, it's easy to see that the distance from J' to K is 7. Also, we know that from J to L it's 3/4 of the way from J to K. So from J' to L' it is 3/4 of the distance of J' to K. Since the distance from J' to K is 7, the distance from J' to L' is 3/4 * 7 = 5.25
thank you so much! you helped me a lot!
Finally, we add 5.25 to the x-coordinate of J' to get: 5.25 + -3 = 2.25
can you help me with another one please?
pls start a new post
okay i will