FIND A POINT E ON CD SUCH AS THE RATIO OF CE TO CD IS 1/4.'
ANSWER CHOICE
A. -7
B. - 5
C. -3
D. -1
The answer is B. -5 because from c to d the distance is 16. One fourth of 16 is 4 units so you just need to count four space from c to get -5
I asked someone else n they said it was -5. whatever thats what im goin w
-5
It’s-5
SO WHAT THE HELL IS THE ANSWER?
To find point E on line CD such that the ratio of CE to CD is 1/4, we need to understand how to determine a point along a line segment using ratios.
One way to find the location of point E is by using the section formula. The section formula allows us to determine the coordinates of a point that divides a line segment into two given ratios.
Let's assume that point C is at one end of the line CD, and point D is at the other end. We want to find point E, such that the ratio CE:CD is 1:4.
The section formula states that the coordinates of the point (x,y) that partitions the line segment defined by points (x1,y1) and (x2,y2) in the ratio m:n are given by:
x = (x1 * n + x2 * m) / (m + n)
y = (y1 * n + y2 * m) / (m + n)
In our case, we want the ratio CE:CD to be 1:4, which means m = 1 and n = 4.
Now, let's assume that the coordinates of point C are (x1, y1) and the coordinates of point D are (x2, y2).
Since we don't have the actual coordinates for points C and D, we can assign any values to represent their coordinates. Let's assume that point C is located at coordinates (0,0) for simplicity.
Using the section formula, we can calculate the coordinates of point E. Plugging in the values into the formula, we have:
x = (0 * 4 + x2 * 1) / (1 + 4) = x2 / 5
y = (0 * 4 + y2 * 1) / (1 + 4) = y2 / 5
Since point E lies on the line segment CD, we know that the x-coordinate of point E is between the x-coordinates of points C and D. Similarly, the y-coordinate of point E is between the y-coordinates of points C and D.
Considering the answer choices provided:
A. -7, B. -5, C. -3, and D. -1.
We need to substitute each answer choice into the equation x2/5 and see if the resulting x-coordinate lies between 0 (x1) and the x-coordinate of point D.
If we find an answer choice that satisfies this condition, we can then substitute it into the equation y2/5 and check if the resulting y-coordinate lies between 0 (y1) and the y-coordinate of point D.
By trying each choice, we can determine the correct answer.