Find a point E on ModifyingAbove C D with bar such that the ratio of ModifyingAbove C E with bar to ModifyingAbove C D with bar is one-fourth.
A number line measures from negative 10 to 10. C is located at negative 9. D is located at 7.
(1 point)
Responses
negative 7
Image with alt text: negative 7
negative 5
Image with alt text: negative 5
negative 3
Image with alt text: negative 3
negative 1
Image with alt text: negative 1
We can find the ratio between the distances by subtracting the coordinates and then dividing.
First, we find the distance between C and D: ModifyingAbove C D = 7 - (-9) = 16.
Next, we want to find a point E such that the ratio ModifyingAbove C E / ModifyingAbove C D = 1/4.
Since we want ModifyingAbove C E to be one-fourth of ModifyingAbove C D, we can multiply 16 by 1/4 to find ModifyingAbove C E: ModifyingAbove C E = 16 * (1/4) = 4.
This means that the distance between C and E is 4. To find the coordinate of E, we subtract 4 from the coordinate of C: E = -9 - 4 = -13.
So, the point E is located at -13.
To find a point E on the line segment CD such that the ratio of CE to CD is one-fourth, we need to divide the length of CD into four equal parts and locate the point at the second division.
Given that C is located at -9 and D is located at 7, the length of CD is 7 - (-9) = 16.
To divide this length into four equal parts, we need to find the length of each part:
16 / 4 = 4
Starting from point C (-9):
- Move 4 units to the right to reach -5.
- This is the point E we are looking for.
So, the point E on the line segment CD, such that the ratio of CE to CD is one-fourth, is located at -5.