Question

1 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 3/4

(1 point)

A. -7

B. 3

C. 5

D. 12

Answer 1

[AI-generated answer — Bot GPT 3.5]

The length of CD¯¯¯¯¯¯¯¯ is 7 - (-9) = 16 units.

Let the length of CE¯¯¯¯¯¯¯¯ be x units. Since the ratio of CE to CD is 3/4, we have:

(x)/(16) = 3/4

To solve for x, we can cross multiply:

4(x) = 3(16)

4x = 48

x = 48/4

x = 12

Therefore, point E is 12 units from point C.

The answer is D. 12.