Question

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

Answer 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.