To find point E on CD¯ such that the ratio of CE¯ to CD¯ is 34, we can first find the length of CD¯.
CD¯ is the difference between the x-coordinates of points C and D. Since C is at -9 and D is at 7, the length of CD¯ is 7 - (-9) = 7 + 9 = 16.
Now, we can find the length of CE¯. Let's call it x.
We know that the ratio of CE¯ to CD¯ is 34, so we can write the equation:
CE¯ / CD¯ = 34
x / 16 = 34
To solve for x, multiply both sides of the equation by 16:
x = 34 * 16
x = 544
So, the length of CE¯ is 544.
To find the coordinate of E, we start at point C (-9) and move 544 units in the direction of D (positive direction).
The coordinate of E is -9 + 544 = 535.
Therefore, point E is at (535, y), where y can be any value since it is not given in the problem.
If point C is at -9 and point D is at 7, find a point E on CD¯¯¯¯¯¯¯¯
such that the ratio of CE¯¯¯¯¯¯¯¯ to CD¯¯¯¯¯¯¯¯ is 34
1 answer
1 answer