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
A. -7
B. -5
C. -3
D. -1
To find the point E, we need to determine the distance between C and D, which is 16 units (7 - (-9)).
Next, we need to find a point that is one-fourth of the distance from C to D.
Since 16 units divided by 4 is 4, the point E is located 4 units away from C towards D.
Therefore, the point E is at -9 + 4 = -5.
So the answer is B. -5.
hi
To find point E on line CD such that the ratio of CE to CD is one-fourth, we need to determine a point on the number line that is one-fourth the distance from C to D.
The distance between C and D can be calculated by subtracting the coordinates of the two points:
CD = D - C = 7 - (-9) = 7 + 9 = 16
To find a point that is one-fourth the distance from C to D, we can divide the distance CD by 4:
CE = CD / 4 = 16 / 4 = 4
Since C is located at -9 and we need to find a point that is 4 units away from C, we can subtract 4 from the coordinate of C:
E = C - 4 = -9 - 4 = -13
However, since the number line measures from -10 to 10, the point -13 is not within the range. Therefore, none of the provided options (A, B, C, D) is a valid point E that satisfies the given conditions.
To find the point E on the number line such that the ratio of CE to CD is one-fourth, we need to divide the distance of CD by 4.
The distance between C and D on the number line is 7 - (-9) = 16.
To find CE, we divide the distance CD by 4: 16 / 4 = 4.
Starting from C at -9, we move 4 units to the right to find the point E.
Therefore, the point E on the number line is at -9 + 4 = -5.
So, the correct answer is B. -5.