Mathematics, 01.01.2020 22:31 kie1148

Astudent 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 .

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Answer from: jimmymurray29

The point C directed line segment from A to B is -18/7.

Given that,

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.

We have to determine,

The point C on the directed line segment from A to B.

According to the question,

Let, the distance AC be x,

And BC = 8 - x

The ratio of AC : BC = 3 : 4

Therefore,

$\dfrac{AC}{BC} = \dfrac{3}{4} = \dfrac{x}{8-x}$

Solving the equation by cross multiplication,

$3 (8-x) = 4x\\\\24 - 3x = 4x\\\\24 = 7x\\\\x = \dfrac{24}{7}$

Then,

Point C directed line segment from A to B is,

$= -6 + \dfrac{24}{7}\\\\= \dfrac{-42+24}{7}\\\\= \dfrac{-18}{7}$

Hence, The point C directed line segment from A to B is -18/7.

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Answer from: Inriso

Point C at (-18/7)

Step-by-step explanation:

Point A is at -6 and point B is at 2.

So, the distance between A and B = 2 - (-6) = 8

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.

Let the distance AC = x

∴ BC = 8 - x

AC : CB = 3 : 4

∴ $\frac{AC}{CB} =\frac{3}{4} = \frac{x}{8-x}$

Using cross multiplication

3 (8-x) = 4x

24 - 3x = 4x

24 = 7x

x = 24/7

So, Point C = -6 + 24/7 = -18/7

Point C at (-18/7)

Answer from: Quest

c. x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

$\frac{little}{big} =\frac{side mn}{side ab}=\frac{side on}{side cb}$ .

$\frac{0.96}{1.2}=\frac{x}{3}$

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

$0.96(3)=1.2(x)\\2.88=1.2x\\\frac{2.88}{1.2}=\frac{1.2x}{1.2} \\2.4=x$

Answer from: Quest

you would need to also lose 1 point for each of the other outcomes for it to be fair.

step-by-step explanation:

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Astudent wants to find point c on the directed line segment from a to b on a number line such that t...