To find the coordinates of point E, we first need to find the length of CD¯¯¯¯¯¯¯¯.
The length of CD¯¯¯¯¯¯¯¯ is calculated by subtracting the x-coordinate of point C from the x-coordinate of point D.
In this case, the x-coordinate of point C is -9 and the x-coordinate of point D is 7.
So, the length of CD¯¯¯¯¯¯¯¯ is |7 - (-9)| = |7 + 9| = |16| = 16.
Since we want the ratio of CE¯¯¯¯¯¯¯¯ to CD¯¯¯¯¯¯¯¯ to be 34, we can set up the equation:
CE¯¯¯¯¯¯¯¯ / CD¯¯¯¯¯¯¯¯ = 34.
Substituting the values we know, we get:
CE¯¯¯¯¯¯¯¯ / 16 = 34.
To solve for CE¯¯¯¯¯¯¯¯, we multiply both sides of the equation by 16:
CE¯¯¯¯¯¯¯¯ = 34 * 16 = 544.
Therefore, the length of CE¯¯¯¯¯¯¯¯ is 544.
Since CE¯¯¯¯¯¯¯¯ is a length on the line segment CD¯¯¯¯¯¯¯¯, the coordinates of E will lie somewhere between the coordinates of C (-9) and D (7). However, without more specific information about the position of point E, we cannot determine the exact coordinates.
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 point)
1 answer