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3 years ago

Explain why partitioning a directed line segment into a

Mathematics

2 answers:

shtirl [24]3 years ago

4 0

Answer:

Step-by-step explanation:

This is actually a very important question and it is very subtle. Let's just take an ordinary segment.

Suppose we have a segment that is this long

=========o=========

The segment up to the o is nine equal signs long.

The segment after the o is also nine equal signs long.

Here's the crunch. Since they are equal, the ratio is 1 to 1. The segment is divided in half.

Now take the second half of the question.

======o============

The left side of the o is 6 equal signs long.

The right side of the o is 12 equal signs long.

The ratio is 1:2. There are still 18 equal signs but now they are divided as 6/12 which is not the same thing as 9/9

Very interesting question.

Mashutka [201]3 years ago

4 0

Answer:

A ratio of 1:2 means that there are 3 parts in total. One part will be before the desired point, and 2 parts will be after the desired point. This is the same as finding the point that is 1/3 the length. Half the length of the segment would mean there would only be two pieces, each of equal size.

Step-by-step explanation:

Sample Response...

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Find the equation of the line that passes through the following lines points (0,-1) and (3,12).

Temka [501]

Answer:

y=13/3x-1

Step-by-step explanation:

k=(y2-y1) /(x2-x1)

A(0,-1) x1=0,y1=-1

B(3,12) x2=3, y2=12

k=(12-(-1))/(3-0)

k=(12+1)/3

k=13/3

y-y1=k(x-x1)

y-(-1)=13/3(x-0)

y+1=13/3*x

y=13/3*x-1

8 0

3 years ago

Name a number that can be evenly divided by 6 and and by 7

Alona [7]

There are an infinite number of them. The smallest one is 42,
and every multiple of 42 is another one.

I don't remember the official correct way to solve this problem.
I can only show you my own way of doing it.

I take the bigger number, and I go through its multiples, one by one,
until I spot one that's also a multiple of the smaller one.

Example: 6 and 7.
Go through the multiples of 7:

7 ... no, not a multiple of 6
14 ... no, not a multiple of 6
21 ... no, not a multiple of 6
28 ... no, not a multiple of 6
35 ... no, not a multiple of 6
<em><u>42</u></em> ... Yes ! A multiple of 6. yay !

7 0

2 years ago

The end points of one side of a regular pentagon are (-1,4) and (2,3). What is the perimeter of the pentagon?

marissa [1.9K]

To determine the perimeter of the pentagon, you must first calculate a side length of it. Let's name the coordinates A(-1,4) and B(2,3).

To figure out how far the points are from each other, you have to use the distance formula:
$D_{AB} = \sqrt{( x_{2}-x_{1})^2+{(y_{2}-y_{1})^2}
$
$x_{1} =1, x_{2} =-2, y_{1} =2, y_{2} =3$
$D_{AB}= \sqrt{(2--1)^2+{(3-4)^2}$
D_{AB}= \sqrt{(2--1)^2+{(3-4)^2}
$D_{AB}= \sqrt{(2+1)^2+{(3-4)^2}$
$D_{AB}= \sqrt{(3)^2+(-1)^2}$
$D_{AB}= \sqrt{9+1}$
$D_{AB}= \sqrt{10}$

Now, the formula for the perimeter of a pentagon is
P = 5×side length

So...
Perimeter = 5× $\sqrt{10}$

The answer is (2)

8 0

3 years ago

David roller skates with a constant speed of 12kmh how far can he travel in 3 hours

Leona [35]

Answer:

Step-by-step explanation:

12 x 3 =36

6 0

3 years ago

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Given an equation y= -8x -4. Identify the slope and y-intercept

Naddika [18.5K]