Hello!
Thanks for checking my question out!
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9. Find a point E on CD such that the ratio of CE with CD is 3/8.
Image URL: goo.gl/6stTqe
a) -7
b) -5
c) -3
d) -1
My Answer: A
Could someone please check my answer?
Thanks!
- Da Fash
The line segment goes from -9 to 7, for a distance of 16
So, -9 + (3/8)*16 = -9 + 6 = -3
-7 is only 1/8 of the way along.
Oh, thanks for showing your work! I get it now! The answer would be C, right?
Hello Da Fash!
To find point E on CD such that the ratio of CE with CD is 3/8, we need to divide CD into segments that satisfy this ratio. Let's see how we can do that.
Step 1: Determine the length of CD
Unfortunately, the image URL you provided is not accessible in my current environment, so I cannot see the diagram you are referring to. However, I can still guide you on how to find the solution based on the given information.
Step 2: Divide the length of CD
Assuming that the length of CD is divided into segments, where CE is three parts and DE is eight parts, we can write it as:
CE/CD = 3/8
Step 3: Solve for CD
To find CD, we need to isolate it in the above equation. Multiply both sides by CD:
CE = (3/8) * CD
Step 4: Find CE
According to your question, CE is given as -7. If we substitute this value into the equation, we can solve for CD:
-7 = (3/8) * CD
Multiply both sides by 8/3:
-7 * (8/3) = CD
Simplifying:
-7 * 8 = 3 * CD
-56 = 3 * CD
CD = -56/3
So, based on the calculations, the length of CD is -56/3.
Step 5: Find the coordinates of point E
Finally, to find the point E on CD, we need to determine the x-coordinate of E. Since we do not have any additional information about the coordinates of C and D, we cannot determine the exact value of the x-coordinate of E.
Therefore, I am unable to confirm whether your answer, A, is correct or not without additional information. I recommend checking the original problem statement or providing more details to accurately determine the correct answer.
I hope this explanation helps you understand the steps to find the point E on CD! If you have any further questions, feel free to ask.