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A student wants to find point C on the directed line segment from A to B on a number line such that the segment is partitioned in a ratio of 3:4. Point A is at –6 and point B is at 2. The student’s work is shown.

C = (three-fourths) (2 minus (negative 6)) + (negative 6)
C = (three-fourths) (8) minus 6
C = 6 minus 6
C = 0
Analyze the student’s work. Is the answer correct? Explain.

No, the student should have added 3 + 4 to get the total number of sections, and used the fraction Three-sevenths instead of Three-fourths.
No, the student should have subtracted 2 from –6 to find the distance.
No, the student should have added 2 at the end to add to the starting point.
Yes, the student’s answer is correct

Respuesta :

Answer:

Answer is A

Step-by-step explanation:

Took on Edge 2020

abidemiokin

The student should have added 3 + 4 to get the total number of sections, and used the fraction three-sevenths instead of three-fourths.

Given the segment partitioned in a ratio of 3:4, the total ratio is expressed as:

  • Total = 3 + 4  = 7

If point C is on the line segment AB, hence the point C on the line will be expressed as:

[tex]C = \frac{3}{3+4} \cdot (2-(-6)+(-6))\\C= \frac{3}{7} \cdot (2+6-6)\\C= \frac{3}{7} \cdot (8-6)\\C=\frac{3}{7} \=(2)\\C=\frac{6}{7}[/tex]

Based on the calculation, we can conclude that the student's answer is incorrect. The student should have added 3 + 4 to get the total number of sections and used the fraction three-sevenths instead of three-fourths

Learn more on midpoint here: https://brainly.com/question/5566419

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