Definition of Line segment

QUESTION POSTED AT 05/12/2019 - 05:21 PM

Answered by admin AT 05/12/2019 - 05:21 PM

The definition of a line segment is a line that will never end
Post your answer

Related questions

The point slope form of the equation of the line that passes through (-5,-1) and (10,-7) is y+7= -2/5(x-10) what is the standard form of this equation of the line

Standard form for y+7=-2/5(x-10) is y=-7-2/5(x-10)

ANSWERED AT 18/01/2020 - 01:07 PM


QUESTION POSTED AT 18/01/2020 - 01:07 PM

Janie uses a reflecting tool to reflect Point B onto Point A. Which of the following statements are true about the line of reflection? 1. Reflection line is perpendicular to AB 2. Reflection line does not bisect AB. 3. Reflection line passes through the midpoint of BA. 4. Reflection line forms two equal angles with segment AB.

You can understand the concept of reflection by imagining a lake. Suppose a mountain is reflected on the lake across an imaginary horizontal line in the ground. This line is the Line of Symmetry. So, in this problem we need to solve four items. Therefore:


1. Reflection line is perpendicular to AB


This is true. To reflect Point B onto Point A, we need to take a Line of Symmetry perpendicular to the segment AB as illustrated in Figure 1. This line is the one in red and the blue square indicates that the red line and the segment AB are perpendicular.  


2. Reflection line does not bisect AB


This is false. Instead, the line in red bisect the segment AB, that is, it divides the segment into two equal parts as indicated in Figure 2. The x in blue represents the point at which the red line bisects the segment.


3.  Reflection line passes through the midpoint of BA.


This is true. Given that the red line divide the segment into two equal parts, then the point at which the red line bisects the segment is also called the midpoint (M) as indicated in Figure 3.


4. Reflection line forms two equal angles with segment AB.


This is true. As you can see in Figure 4, the two blue angles are equal and the two green angles are equal. So, reflection line forms two equal angles with segment AB. In fact, each of these angles measures 90 degrees. Accordingly, all these four angles are equal.

ANSWERED AT 18/01/2020 - 01:03 PM


QUESTION POSTED AT 18/01/2020 - 01:03 PM

What is the slope of the line that is perpendicular to the line whose equation is 2x + y = 4. -2 -1/2 1/2 2

2x + y = 4
        y = -2x + 4

Perpendicular Slope: ¹/₂

ANSWERED AT 18/01/2020 - 12:59 PM


QUESTION POSTED AT 18/01/2020 - 12:59 PM

Which statements about the system are true? Check all that apply. y = x – 4 3y – x = –7 The system has one solution. The system consists of parallel lines. Both lines have the same slope. Both lines have the same y–intercept. The equations represent the same line. The lines intersect.

Answer and explanation:

Given : Equations y=x-4 and 3y-x=-7

To find : Which statements about the system are true? Check all that apply.

Solution :

First we solve the system of equations,

y=x-4  .....(1)

3y-x=-7  ......(2)

Substitute y from (1) in (2),

3(x-4)-x=-7

3x-12-x=-7

2x=5

x=\frac{5}{2}

Substitute the value of x in (1),

y=\frac{5}{2}-4

y=\frac{5-8}{2}

y=\frac{-3}{2}

1) The system has one solution i.e. (\frac{5}{2},-\frac{3}{2})

2) The system has solution which means it is not parallel lines.

Writing equation in slope from, y=mx+c

y=x-4 where m=1 and c=-4

3y-x=-7 where m=\frac{1}{3} and c=-4

3) Both lines have different slopes.

4) Both lines have the same y-intercept.

5) The equations represent the different lines.

6) The lines intersect at (\frac{5}{2},-\frac{3}{2})

ANSWERED AT 18/01/2020 - 12:54 PM


QUESTION POSTED AT 18/01/2020 - 12:54 PM

Let C be between D and E. Use the segment addition postulate to solve for m. DC = 6m − 21 CE = 7m − 18 DE = 65 a. –3 c. 13 b. 5 d. 8

D-C-E

DC = 6m - 21
CE = 7m - 18
DE = 65

DC + CE = DE
6m - 21 + 7m - 18 = 65
13m - 39 = 65
13m = 65 + 39
13m = 104
m = 104/13
m = 8

DC = 6m - 21 = 6(8) - 21 = 48 - 21 = 27
CE = 7m - 18 = 7(8) - 18 = 56 - 18 = 38

ANSWERED AT 18/01/2020 - 12:52 PM


QUESTION POSTED AT 18/01/2020 - 12:52 PM

In order to raise money for holiday gifts for your family, you are planning on starting a dog walking and car wash business. You earn $12 per hour while dog walking and $18 per hour washing cars. You need to earn at least $600 during the month of November. 1.Assign a variable to represent the number of hours that you will spend dog walking in November. Write an expression to represent the amount of money you need to earn while dog walking. 2.Assign a variable to represent the number of hours that you will spend washing cars in November. Write an expression to represent the amount of money you need to earn while washing cars. 3.Write an algebraic model using inequalities that represents the total amount of money earned by dog walking and washing cars during the month of November. 4.Graph the algebraic model in the first quadrant only. Let the x-axis be the number of hours spent dog walking and the y-axis be the number of hours spent washing cars. Click here for a sheet of graph paper to print.. 5.Use the graph and algebraic model to answer the following: a.Why does the graph exist only in the first quadrant? b.Are you able to earn exactly $600? Use the solutions of the system to find possible combinations of outcomes that equal exactly $600. Where do all of the combinations occur in the graph? c.Is it possible to earn more than $600? Use the solutions of the system to find possible combinations of outcomes that are greater than $600. Where do all of the combinations occur in the graph? d.If you work for 10 hours walking dogs and 10 hours washing cars, will you have earned enough money for the holiday gifts? Where does 10 hours walking dogs and 10 hours washing cars fall on the graph? Is this location representative of the solution to the algebraic model? Click here for a sheet of graph paper to print.. 6.How would the algebraic model be different if you needed to earn more than $600? Adjust your algebraic model to show that you must earn more than $600. Would the graph of the model be different from the original? Would you include the line in the solution? What type of line represents "more than"? Graph your new algebraic model . 7.In complete sentences, explain the difference between a solid line and a dashed line when graphing an inequality. When graphing the two algebraic models, how did you determine which type of line to use? 8.How did you determine which part of the graph of the inequality to shade? What does the shaded area tell you? What does the area that is not shaded tell you?

#1. Let x be the number of hours spent dog walking, then the amount of money earned dog working is 12x.
#2. Let y be the number of hours spent washing cars, then the amount of money earned washing cars is 18y.
#3. 12x+18y \geq 600

ANSWERED AT 18/01/2020 - 12:50 PM


QUESTION POSTED AT 18/01/2020 - 12:50 PM

The lengths of three line segments are 4 centimeters, 5 centimeters, and 9 centimeters. Using this information, triangles can be constructed.

Answer:

No triangles can be constructed

Step-by-step explanation:

we know that

The Triangle Inequality Theorem, states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

so

In this problem

4+5>9------> is not true

therefore

No triangles can be constructed with the given side lengths



ANSWERED AT 18/01/2020 - 12:46 PM


QUESTION POSTED AT 18/01/2020 - 12:46 PM

A line contains the points (3, –2) and (–6, –8). Write the equation of the line using point-slope form.

Y^2 - Y^1/ X^2 - X^1 os the formula that you would use to find the line that passes through those points.

ANSWERED AT 18/01/2020 - 12:37 PM


QUESTION POSTED AT 18/01/2020 - 12:37 PM

The coordinates below represent two linear equations. How many solutions does this system of equations have? Line 1 x y –3 5 0 4 Line 2 x y 0 4 6 2 A. 0 B. exactly 1 C. exactly 2 D. infinitely many

Find the equations of the lines in slope-intercept form which is y=mx+b where m=slope b=y intercept
the choices:
0 solutions: means the lines don't intercect at all, meaning same slope but different y intercept or they ar paralell 
1 solution: lines intercect in 1 point 
2 solutions: curvy line with a straight line thorugh middle
infinetly solutions: same line
 



to find slope you do 
slope=(y1-y2)/(x1-x2)
first line is
(2,-7)
(0,6)
(x,y)
x1=2
y1=-7
x2=0
y2=6
subsitute
(-7-6)/(2-0)=-13/2
slope=-13/2
subsitute
y=-13/2x+b
subsitute one of the points
(0,6)
x=0
y=6
6=-13/2(0)+b
6=0+b
6=b
y=-13/2+6

now solve for the other equation


(3,0)
(0,-3)
x1=3
y1=0
x2=0
y2=-3
subsitute
(0-(-3))/(3-0)=(0+3)/(3)=3/3=1
y=1x+b
subsitute
(3,0)
x=3
y=0
0=1(3)+b
0=3+b
subtract 3
-3=b
y=x-3

we have the lines
y=-13/2x-6 and
y=x-3
solve for a common solution
y=x-3 and y=-13/2x-6 therefor
x-3=-13/2x-6
add 6 to both sides
x+3=-13/2x
multiply both sides by -2
-2x-6=13x
add 2x to both sides
-6=15x
divide both sides by 15
-2/5=x
subsitute
y=x-3
y=-2/5-3
y=-3 and 2/5 or -17/5
the solution is (-2/5, -17/5)
there is only one solution
the answer is B

ANSWERED AT 18/01/2020 - 12:36 PM


QUESTION POSTED AT 18/01/2020 - 12:36 PM

The solution is n = –2 verified as a solution to the equation 1.4n + 2 = 2n + 3.2. What is the last line of the justification? A. 0.8 = 0.8 B. –0.8 = –0.8 C. 3 = 3 D. –3 = –3

we have

1.4n + 2 = 2n + 3.2

we know that

If n=-2 is a solution of the equation

then

the value of n must satisfied the equation

Substitute the value of n in the equation

1.4*(-2) + 2 = 2*(-2) + 3.2

-2.8 + 2 = -4 + 3.2

-0.8 = -0.8 ----> the equation is true

so

The value of n is a solution of the equation

therefore

the answer is the option B

-0.8 = -0.8


ANSWERED AT 18/01/2020 - 12:36 PM


QUESTION POSTED AT 18/01/2020 - 12:36 PM

A line contains the point (0, –2). If the slope of the line is m= - 6 write the equation of the line using slope-intercept form.

Y = -6x-2
since -2 is the y intercept

ANSWERED AT 18/01/2020 - 12:35 PM


QUESTION POSTED AT 18/01/2020 - 12:35 PM

What is the equation of the line that passes through (4, -1) and (-2, 3)?

The equation of the line that passes through (4,-1) and (-2,3) is y=-2/3x+5/3. You have to use two points to find the equation. Use the formula y=mx+b to solve.

ANSWERED AT 18/01/2020 - 12:11 PM


QUESTION POSTED AT 18/01/2020 - 12:11 PM

Points Y and Z are the same distance from point X on a number line. The coordinate of point X is 3 and the coordinate of point Y is –2. What is the coordinate of point Z ______

Coordinate of point Z is 8. That is because the distance from point X to point Y is 3-(-2)=3+2=5, and same is from point X to point Z: 3+5=8. So the answer is Z=8.

ANSWERED AT 18/01/2020 - 12:04 PM


QUESTION POSTED AT 18/01/2020 - 12:04 PM

Find the coordinates of the midpoint of the segment whose endpoints are given. W (-3, -7) and X (-8, -4)

Midpoint coordinates: x-coordinate: (-3+(-8))/2=-11/2 
y-coordinate: (-7+(-4)/2=-11/2
So coordinates of the midpoint are: (-11/2, -11/2).

ANSWERED AT 18/01/2020 - 12:03 PM


QUESTION POSTED AT 18/01/2020 - 12:03 PM

Any line with no slope is parallel to the x-axis y-axis line y = x If the point (a,3) lies on the graph of the equation 5x + y = 8, then a= 1 -1 -7

Any line with no slope is parallel to the

THE ANSWER IS x-axis

Any line parallel to the x-axis has zero slope since there is no rise in the coordinates. The slope is equal to rise over run which means if there is no rise, the slope is zero.


If the point (a,3) lies on the graph of the equation 5x + y = 8, then

THE ANSWER IS a = 1

Simply substitute 3 to y, and solve for x:
5x + 3 = 8
5x = 8 - 3
5x = 5
x = 1

ANSWERED AT 18/01/2020 - 12:02 PM


QUESTION POSTED AT 18/01/2020 - 12:02 PM

A line that passes through the point (–1, 3) has a slope of 2. Find another point on the line. a. (–3, 2) b. (1, 4) c. (1, 5) d. (0, 5)

Using the slope-intercept form of a line, the equation can be generated
y = mx + b

m = 2
and we can solve for b by substituting the given coordinates where the line passes through
3 = 2(-1) + b
b = 5

So, the equation of the line is
 y = 2x + 5

Trying the options using the equation, the answer is
d. (0,5)

ANSWERED AT 18/01/2020 - 12:01 PM


QUESTION POSTED AT 18/01/2020 - 12:01 PM

In hyperbolic geometry, an arc whose endpoints are on the edge of the Poincaré disk must be a line. A. True B. False

It would to absolutely false to say that in hyperbolic geometry, an arc whose endpoints are on the edge of the Poincaré disk must be a line. The correct option among the two options that are given in the question is the second option or option "B". I hope the answer comes to your help.

ANSWERED AT 18/01/2020 - 11:57 AM


QUESTION POSTED AT 18/01/2020 - 11:57 AM

A line segment is drawn from (+6, +4) to (+9, +4) on a coordinate grid. Which explains one way that the length of this line segment can be determined? A. Add 9 + 6. B. Add 6 + 6. C. Subtract 9 – 6. D. Subtract 6 – 6.

Letter c. add 9-6 explains one way that the length of this line segment can be determined. In order to verify this for yourself, you can plot these two point on a Cartesian coordinate plane and manually measure the length of the line. Mathematically, the length of a line may be calculated by the distance formula given as: sqrt[(x2-x1)^2+(y2-y1)^2]

ANSWERED AT 18/01/2020 - 11:35 AM


QUESTION POSTED AT 18/01/2020 - 11:35 AM

What is the equation of the line described below written in slope-intercept form? the line passing through point (0, 0) and parallel to the line whose equation is 3x + 2y - 6 = 0 y =-2/3 -x y =-3/2x y = 3/2x

Since the line in question is parallel to the line with the equation 3x+2y-6=0, it can be said that they have the same slope. To find the slope of the line with the given equation, transform the given equation to its corresponding slope-intercept form. Hence, the equation is now

y=(-3/2)x+3

the slope is then -3/2

and since the line in question passes through the origin, the equation of this line is then

y=(-3/2)x+0
or simply
y=(-3/2)x

ANSWERED AT 18/01/2020 - 11:34 AM


QUESTION POSTED AT 18/01/2020 - 11:34 AM

Points R, S, and T are plotted on a number line. The coordinate of point R is –6. Points S and T are the same distance from point R. What could be the coordinates of S and T? A. S = 0, T = 6 B. S = –4, T = –2 C. S = –9, T = –12 D. S = –10, T = –2

D. S=-10, T=-2 is the answer.

While we check all the given options, we will see that no option other then option D gives us the equal value of difference between R and S, and R and T; which doesn't makes the given value of S and T in option(s) A, B and C equidistant from R as given in the question. Thus, it gives us option D as the answer.

Mathematically-

Considering the option D only,
 
 R - S = -6 - (-10) = -6 + 10 = 4
 and, T - R = -2 - (-6) = -2 + 6 = 4
 thus, R - S = T - R

ANSWERED AT 18/01/2020 - 11:31 AM


QUESTION POSTED AT 18/01/2020 - 11:31 AM

The following lines are parallel. 2x + 6y = 5 and y = 3x + 8 a. True b. False

To find out whether these lines are parallel or not, we have to calculate the slope. If the slope is same in both equations, then we can say both lines are parallel to each other.
For that purpose, we have to change the format of the equation in this way, y=mx+C.

2x + 6y = 5
y = -1/3 x + 5

y = 3x + 8

Since the slope ( -1/3 and 3 ) of the equations are not equal, these are not parallel to each other.

Answer is b.False

ANSWERED AT 18/01/2020 - 11:26 AM


QUESTION POSTED AT 18/01/2020 - 11:26 AM

Find the slope of a line given the following two points: (4, 3) and (5, 2). 1 -1 2 -2

Given two points; (x₁,y₁) and (x₂,y₂) the slope is:

m=(y₁-y₂) / (x₁-x₂)      or      m=(y₂-y₁) / (x₂-x₁)

In this case:
(4,3)
(5,2)

m=(5-4)/(2-3)=1/-1=-1

Answer: the slope is -1

ANSWERED AT 18/01/2020 - 11:25 AM


QUESTION POSTED AT 18/01/2020 - 11:25 AM

A line is drawn through (-4,3) and (4,3). Which describes whether or not the line represents a direct variation

If the resultant line is a straight line,it represents a direct variation.

ANSWERED AT 18/01/2020 - 11:20 AM


QUESTION POSTED AT 18/01/2020 - 11:20 AM