The amount of space between two points on a line is a distance.
What is a line segment?In Mathematics and Geometry, a line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points. Additionally, a line segment typically has a fixed length.
In Mathematics and Geometry, the distance between two (2) end points that are on a coordinate plane can be calculated by using the following mathematical equation:
[tex]Distance = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]
Where:
x and y represent the data points (coordinates) on a cartesian coordinate.
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S is between T and V. R is between S and T. T is between R and Q. QV=18, QT=6, and TR=RS=SV. Find RS , QS , TS , and TV.
A line can have as many points as possible, and multiple lines can have similar points. The values of RS, QS, TS and TV are:
[tex]RS = 4\\QS =14\\TV = 12\\TS = 8[/tex]
S is a point between lines T and V means:
[tex]TV = TS + SV[/tex]
R is a point between lines S and T means:
[tex]TS = RS + TR[/tex]
T is a point between lines R and Q means
[tex]RQ = TR + QT[/tex]
Given that:
[tex]QT = 6\\QV = 18[/tex]
This means that Q is a point between lines QT and QV. So:
[tex]TV = QV - QT[/tex]
[tex]TV = 18- 6[/tex]
[tex]TV = 12[/tex]
[tex]TR=RS=SV[/tex] means that:
[tex]TV = TR+RS+SV[/tex]
Because [tex]TR=RS=SV[/tex], the equation becomes:
[tex]TV = TR+TR+TR[/tex]
[tex]TV = 3TR[/tex]
Substitute 12 for TV
[tex]12 = 3TR[/tex]
Divide both sides by 3
[tex]4 = TR[/tex]
[tex]TR =4[/tex]
Hence:
[tex]TR=RS=SV=4[/tex]
[tex]TS = RS + TR[/tex] gives
[tex]TS = 4 + 4[/tex]
[tex]TS = 8[/tex]
Next, we calculate the measure of QS from lines QV and SV
Point S is common between QS and SV. This means:
[tex]QV = QS + SV[/tex]
Make QS the subject
[tex]QS =QV -SV[/tex]
[tex]QS =18-4[/tex]
[tex]QS =14[/tex]
Hence, the values of RS, QS, TS and TV are:
[tex]RS = 4\\QS =14\\TV = 12\\TS = 8[/tex]
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Pauley graphs the change in temperature of a glass of hot tea over time. He sees that the function appears to decrease quickly at first, then decrease more slowly as time passes. Which best describes this function? It is linear because the graph decreases over time. It is linear because there is both an independent and a dependent variable. It is nonlinear because linear functions are increasing functions. It is nonlinear because linear functions increase or decrease at the same rate.
Answer:
It is nonlinear because linear functions increase or decrease at the same rate.
Step-by-step explanation:
A linear function is a function with a constant rate of change. This means it increases or decreases at the same rate.
Since this function decreases quickly and then more slowly, it does not have a constant rate of change; it is not linear.
Answer:
D
Step-by-step explanation:
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In which case is it legal to drive through a crosswalk?
A. When pedestrians are crossing but you have a green light
B. When all pedestrians are in lanes other than yours
C. When you can safely avoid pedestrians in your lane
D. None of the above
Evaluate y5 for y = 1.
1
5
15
The following eight values represent the sale amounts over a one hour period: $10 $5 $60 $20 $15 $20 $9 $2. What is the median sales value over this period?
Select one:
a. $12.50
b. $17.63
c. $20.00
d. $31.00
the development of cars has pros and cons. the car has allowed for better transportation but it is also responsible for a great deal of pollution. which activity can help reduce through pollution through the use of new technology?
A)increasing taxes on cars that pollute the most
B)making an app that allows people to share rides
C)persuading people to use existing public transportation
D)building cars that can better withstand collisions
In Trevor's biology class, the students tested for bacteria on a kitchen sponge. They found that there were approximately 17,000,000 bacterial colonies on a single sponge. Express their findings in scientific notation.
17 × 106
1.7 × 106
1.7 × 107
0.17 × 108
Answer:
1.7 × 10 7
Step by step explanation:
What is -3 = -15 + a
If 40% of a given number is 8, then what is 15% of the given number?
Work out the equation of the line which has a gradient of 2 and passes through the point (1,4)
Answer:
The equation would be y = 2x + 2
Step-by-step explanation:
We know that the equation of a line can be represented as:
(y - y1) = m ( x - x1)
where (x1, y1) is a point that belongs to the line and m is the gradient.
For this particular problem we would have (x1,y1) = (1,4) and m = 2.
If we substitute this data in the formula we get:
(y - y1) = m (x - x1)
y - 4 = 2(x - 1)
y - 4 = 2x - 2
y = 2x - 2 + 4
y = 2x + 2
Therefore, the equation would be y = 2x + 2
The equation of the line which has a gradient of 2 and passes through the point (1,4) is:
y = 2x + 2
What is gradientGradient also known as slope is the defined as
Gradient (m) = change in y coordinate / change in x coordinate
The equation of a line passing through a given point is given by the following equation:
y – y₁ = m(x – x₁)
How to determine the equation of the line passing through point (1,4)x coordinate (x₁) = 1y coordinate (y₁) = 4Gradient (m) = 2Equation =?y – y₁ = m(x – x₁)
y – 4 = 2(x – 1)
Clear bracket
y – 4 = 2x – 2
Make y the subject by adding 4 to both side
y – 4 + 4 = 2x – 2 + 4
y = 2x + 2
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True?
you have ten boxes of ten muffins each and each muffin has ten blueberries, Use exponent to write an expression for the total number of blue berries
5+4g+8=1 (g=-3;g =-1; g =2)
Destiny combines 6.42 liters of red paint with 6.87 liters of blue paint to make purple paint. she pours the paint equally into 3 containers, and has 2.64 liters of paint left over. how many liters of paint are in each container?
Quantity of paint in each container will be 3.55 liters
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Quantity of red paint = 6.42 liters
Quantity of blue paint = 6.87 liters
And, she pours the paint equally into 3 containers, and has 2.64 liters of paint left over.
Now,
Total quantity of paint = 6.42 + 6.87
= 13.29 liters
Thus, The quantity in each container = 13.29 - 2.64 / 3
= 10.65 / 3
= 3.55 liters.
Therefore, Quantity of paint in each container will be 3.55 liters
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you are baking muffins for your class. there are 17 total students in your class and you have baked 5 muffins. write and solve an equation to find the additional number x of muffins you need to bake in order to have 2 muffins for each student. write your equation so that the units on each side of the equation are muffins per student
Answer:
Additional muffins required, x = 29
The equation so that the units on each side of the equation are muffins per student
[tex]\frac{5+x}{17}=2[/tex]
Step-by-step explanation:
Let the additional number x of muffins you need to bake in order to have 2 muffins for each student.
We have total number of students = 17
Number of muffins already baked = 5
So total number of muffins made = Number of muffins already baked + Additional muffins to be made
Total number of muffins made = 5 + x
We know that each student need to get 2 muffins
Total muffins needed = 17 x 2
Equating both
5 + x = 17 x 2
x = 34 - 5 = 29
Additional muffins required, x = 29
[tex]\frac{5+x}{17}=2[/tex]
This is the equation so that the units on each side of the equation are muffins per student
If x+z=15x+z=15 and w+y=10w+y=10, what is the value of (3w+3y)(2x+2z)(3w+3y)(2x+2z) ?
Answer:
The value of [tex]\((3w+3y)(2x+2z)\)[/tex] squared is [tex]\(810,000\).[/tex]
Explanation:
To find the value of [tex]\((3w+3y)(2x+2z)\)[/tex], we can first simplify each factor:
[tex]\((3w+3y) = 3(w+y)\)[/tex]
[tex]\((2x+2z) = 2(x+z)\)[/tex]
Given that [tex]\(w+y = 10\) and \(x+z = 15\)[/tex] , we can substitute these values into the expressions:
[tex]\((3w+3y) = 3(10) = 30\)[/tex]
[tex]\((2x+2z) = 2(15) = 30\)[/tex]
Now, we multiply these two simplified expressions together:
[tex]\((3w+3y)(2x+2z) = 30 \times 30 = 900\)[/tex]
So, the value of [tex]\((3w+3y)(2x+2z)\) is \(900\).[/tex]
To find the value of [tex]\((3w+3y)(2x+2z)\)[/tex] squared:
[tex]\((3w+3y)(2x+2z)^2 = (900)^2 = 810,000\)[/tex]
Therefore, the value of [tex]\((3w+3y)(2x+2z)\)[/tex] squared is [tex]\(810,000\).[/tex]
A rectangleâs length is 7 inches greater than its width. if the perimeter of the rectangle is 110 inches, find its length and width.
Which is the line shown in the figure?
The answer is Line XZ. The line goes through them.
This problem has me stock is their anyone willing to helpp
4976 million acres
15% is federally owned
so 85% is not
multiply 4976 by 85%
4976 * 0.85 = 4229.60 million acres are not federally owned
A rectangular box is to have a square base and a volume of 80 ft3. the material for the base costs 45¢/ft2, the material for the sides costs 10¢/ft2, and the material for the top costs 28¢/ft2. letting x denote the length of one side of the base, find a function in the variable x giving the cost (in dollars) of constructing the box.
A dime has the same value as 10 pennies.Marley bought 290 pennies to the bank.How many dimes did Marley get
Let f ( x ) = 2 x − 1 , g ( x ) = 3 x , and h ( x ) = x ^2 + 1 , what is g (h ( 24 ) ) ?
You increase the size of a computer screen display by 20%. Then you decrease it by 20%. What is the size of the computer screen display now?
Last week they share of stock gained a total of 1.64 points express this game as a mixed number in simplest form
If tap and bre are supplementary and bre is its own complement, find the measure of tap. explain how you arrived at your answer
a) As a student, you are able to earn extra money by assisting your neighbors with odd jobs. If you charged $10.25 an hour for your assistance, about how many hours would you need to work to earn $8,425? Show your work.
Answer:
About 821.95 hours. 8,425 divided by 10.25 is 821.95
821.95 hours
8,425
10.25
_____ = 821.95
Step-by-step explanation:
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A player's goal was to score at least 150 points this season. So far, she has scored 123 points. If there is one game left, how many points must she score to reach her goal?
A) Write an inequality that represents this word problem.
The inequality that represents this word problem will be 150 - 123 = 27.
From the information given, the player's goal was to score at least 150 points this season but the player already has scored 123 points.
Therefore, since there is one game left, the number of points that must be scored to reach her goal will be:
= 150 - 123 = 27
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tenesa bought a 50 pound bag of flour for her bakery. she used 13.65 pounds of flour. how many pounds of flour are left in the bag?
Let g(x) be the reflection of f(x) = x 2 + 3 in the x-axis. What is the function rule for g(x)?
A.
g(x) = -x^ 2 - 3
B.
g(x) = -x ^2 + 3
C.
g(x) = x ^2 - 3
D.
g(x) = x ^2 + 3
please show your work
refelction meand g(x) would equal -(fx)
so the answer would be C g(x) = -x^2 - 3
A radio station plays 3 1/2 minutes of commercials every 1/4 hour. At this rate, how many minutes of commercials does this radio station play in one hour?