a line segment has (x1, y1) as one endpoint and (xm, ym) as its midpoint. find the other endpoint (x2, y2) of the line segment in terms of x1, y1, xm, and ym. use the result to find the coordinates of the endpoint (x2, y2) of each line segment with the given endpoint (x1, y1) and endpoint (xm, ym).
Answers
The coordinates are:
For the first line, coordinates are (3, 7).For the second line, the coordinates are (12, 0).What are coordinates?A coordinate system in geometry is a system that uses one or more numbers, or coordinates, to determine the position of points or other geometric elements on a manifold such as Euclidean space.To find the coordinates:
In Analytical Geometry, the midpoint of a line is calculated as the mean of two points, as follows:
[tex]$$x_m=\frac{x_1+x_2}{2}, y_m=\frac{y_1+y_2}{2}$$[/tex]
Each segment has two endpoints and two midpoints, which are as follows:
(1,-9), as well as its midpoint (2,-1)(-2,18), as well as its midpoint (5,9)We must be cautious not to add the wrong coordinates.
In the first line A:
[tex]$$\begin{aligned}&2=\frac{1+x_2}{2} \\&4=1+x_2 \\&4-1=-1+1+x_2 \\&x_2=3 \\&-1=\frac{y_2-9}{2} \\&-2=y_2-9 \\&+2-2=y_2-9+2 \\&y_2=-7\end{aligned}$$[/tex]
So (3,7) is the other endpoint where the segment begins (1,-9).
The endpoint of the second line b at (-2,18) and its midpoint (5,9).
[tex]$$\begin{aligned}&5=\frac{-2+x_2}{2} \\&10=-2+x_2 \\&+2+10=+2-2+x_2 \\&x_2=12 \\&9=\frac{18+y_2}{2} \\&18=18+y_2 \\&-18+18=-18+18+y_2 \\&y_2=0\end{aligned}$$[/tex]
So, (12,0) is the opposite endpoint.
Therefore, the coordinates are:
For the first line, coordinates are (3, 7).For the second line, the coordinates are (12, 0).Know more about coordinates here:
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The correct question is given below:
A line segment has (x1, y1) as one endpoint and (xm, ym) as its midpoint. Find the other endpoint (x2, y2) of the line segment in terms of x1, y1, xm, and ym. Use the result to find the coordinates of the endpoint of a line segment when the coordinates of the other endpoint and midpoint are, respectively, (1, −9), (2, −1) and (−2, 18), (5, 9).
Related Questions
in the arithmetic sequence 4,11,18 what is the 10th terms
Answers
Answer:
67
Step-by-step explanation:
Each time the number goes up by 7. After 9 moretimes 4 will increase by 63.
4+63=67.
The 10th term should be 67
without solving determine whether the solution of 1/3x =21 is greater than or less then 21. explain
Answers
solution of 1/3x=21 is greater than 21.
What does a linear equation mean in mathematics?A linear equation only has one or two variables. In a linear equation, no variable can be multiplied by a value greater than one or used as the denominator of a fraction. When you find the values that make a linear equation true and plot those values on a coordinate grid, all the points fall on the same line.
CALCULATIONSolving the linear equation
x/3 = 21
multiplying by 3 on both sides
x/3 * 3 = 21 * 3
x = 63
→63>21,
that is, solution of the linear equation is greater than 21.
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determine if the collection is not well defined and therefore is not a set. the collection of current nfl players
Answers
The collection of current NFL players is well defined and is a set
Step-by-step explanation:
For a collection to be termed as a set, it is necessary that it has distinct objects that are defined.
For example, a set of first 10 natural numbers is
A= [1,2,3,4,5,6,7,8,9,10]
It is well defined and therefore called as set which has first 10 natural numbers as its elements.
Same is the case with the collection of current NFL players.
The collection contains defined number of players. Therefore, this collection is called a set.
The members of the collection or team will be known as the elements of the set.
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4. Identify the following according to the information above. Justify your answer.
Answers
The following figures are Line, Ray, Line Segment, Parallelogram and Cuboid in the sequential order.
a) Line - A line is a two-dimensional figure. It is a group of points joining together to form a single entity which extends in both directions infinitely. It has no end points.
b) Ray - A ray is a two-dimensional figure. It is a group of points joining together to form a single entity, but it extends infinitely in only one direction. It has one end point.
c) Line segment - A line segment is a two-dimensional figure. It is a group of points joining together to form a single entity, but it does not extend infinitely in any direction. It has two end points and a finite length.
d) Parallelogram - A parallelogram is a two-dimensional figure having 4 sides whose opposite sides are equal in length and also parallel to each other. The diagonals of the parallelogram intersect each other at equal distance.
e) Cuboid - A cuboid is a three-dimensional figure made up of rectangular faces of varying length, breadth and height. The opposite faces of a cuboid are similar in dimensions. It has 12 edges, 12 vertices and 6 faces.
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Find the value of k. The diagram is not to scale.
Answers
Answer:
[tex] \large{ \boxed{ \tt{answer : \boxed{ \tt{ k = 73 \degree}}}}}[/tex]
Please see the attached picture for full solution!
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In the figure below, m Z1 = (x+84)° and m2 = 2xº.
Find the angle measures.
Answers
Answer:
1. m ∠ 1 = 86°
m ∠ 2 = 4°
- Problem in the picture
2. m ∠ 1 = 6°
m ∠ 2 = 84°
Step-by-step explanation:
I'm confused, so I'll just solve both problems (assuming that they are the same type of angle)
1.
m Z1 = (x+84)° and m2 = 2xº.
m ∠ 1 = (x + 84)°
m ∠ 2 = 2x°
Complementary angles are equal to 90°
(x + 84) + 2x = 90
x + 84 + 2x = 90
3x + 84 = 90
-84 -84
----------------------
3x = 6
÷3 ÷3
-----------
x = 2°
m ∠ 1 = (x + 84)°
m ∠ 1 = (2 + 84)°
m ∠ 1 = 86°
m ∠ 2 = 2x°
m ∠ 2 = 2(2)°
m ∠ 2 = 4°
2. (Problem in the picture)
m ∠ 1 = (x - 6)°
m ∠ 2 = 7x°
Complementary angles are equal to 90°
(x - 6) + 7x = 90
x - 6 + 7x = 90
8x - 6 = 90
+6 +6
---------------------
8x = 96
÷8 ÷8
----------------
x = 12
m ∠ 1 = (x - 6)°
m ∠ 1 = (12 - 6)°
m ∠ 1 = 6°
m ∠ 2 = 7x°
m ∠ 2 = 7(12)°
m ∠ 2 = 84°
I hope this helps!
HELP!!!!!! In one serving of trail mix, the ratio of the number of ounces of raisins to the number of ounces of peanuts is 2 to 3. 2). Drag the numbers into the table to show how many ounces of raisins and peanuts are needed for different numbers of serving . tell me the answer you don't have to give me step by step explanation for ratios!!!!!
Answers
The ounces of raisins and peanuts needed for different numbers of serving are :
for 4 serving = 8 raisins and 12 peanuts
for 12 serving = 24 raisins and 36 peanuts
According to the question we have been given that in one number of serving the ratio of number of ounces of raisins to the number of ounces of peanuts is given as :
ratio = 2 : 3
We need to find ounces of raisins and peanuts needed for different numbers of serving.
For 4 serving,
Raisins = 4*2 = 8
Peanuts = 4*3 = 12
and we see that their ratio = 8/12 = 2/3
For 12 serving,
Raisins = 12*2 = 24
Peanuts = 12*3 = 36
and we see that their ratio = 24/36 = 2/3
Hence the ounces of raisins and peanuts needed for different numbers of serving are :
for 4 serving = 8 raisins and 12 peanuts
for 12 serving = 24 raisins and 36 peanuts
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find the angle between a diagonal of a cube and an adjacent edge. (enter your answer in degrees. round your answer to two decimal places.)
Answers
The angle between a diagonal of a cube and an adjacent edge is 54.75°;
Assuming the length of a side of the cube as 1 unit, the three sides are given by the vectors;
a = (1, 0, 0)
b = (0, 1, 0)
c = (0, 0, 1)
The diagonal is given by the vector, v = (1, 1, 1)
The angle between the diagonal and one edge of the cube is given by
cos θ = v. a / |v|.|a|
v. a = (1, 1, 1).(1, 0, 0)
= 1(1) + 1(0) + 1(0
= 1 + 0 + 0
v. a = 1
Magnitude of vector V = √[(1)² + (1)² + (1)²]
|v| = √3
Similarly, |a| = √1;
So, |v|.|a| = √3.√1 = √3
Now, cos θ = 1/√3
So, θ = cos¹(1/√3)
θ = 54.75°
Therefore, the required angle is 54.75°.
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The height of 4 cups
is 11.0cm.
8 cups has a height of
16.4cm
What would be
the height of
10 cups ?
Answers
Let the height of the cup be h and the extra length be d.
So, when the one cup is placed over another the total height will be h+d.
So, when the one cup is placed over another the total height will be h + d.
When the four cup is placed over each another h + 3d = 11 cm.
So the generalised equation will h +(n-1)d where n is the total number of cups.
When the eight cup is placed over each another = h + 7d = 16.4 cm
h + 3d = 11 cm
h + 7d = 16.4 cm
On solving the above two equation we will get d = 1.35 cm and h = 6.95 cm
So when we put 10 cups on each other = h +9d
6.95 + (9*1.35) = 19.1
Hence, the height of 10 cup will be 19.1cm.
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In a cycle 1 school in Abu Dhabi , the ratio of boys to girls in the 3rd grade is 5 to 8. If there are 72 girls, how many boys will there be?
Answers
72/8 = 9,
9x5 = 45 boys
Therefore answer is 45 boys
X^2 +7x +12 divided by x + 2
Answers
The required simplified value of x² +7x +12 divided by x + 2 is x + 5 + [2 / (x + 2)].
To determine the simplified value of x² +7x +12 divided by x + 2.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
As per the given data,
Division of function,
= x² +7x +12/ x + 2
= x² + 7x + 10 + 2 / x +2
= (x + 5)(x + 2) + 2 / x + 2
= (x + 5) (x + 2) / x + 2 + 2 / x + 2
= x + 5 + 2 / (x + 2)
Thus, the required simplified value of x² +7x +12 divided by x + 2 is x + 5 + [2 / (x + 2)].
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Limits and Piecewise functions help please
Answers
Answer: -2, 2
Step-by-step explanation:
The derivative of a function, f(x), at a point where f(x) has a sharp turn (or cusp) does not exist.
The derivative of a function, f(x), at a point where f(x) has a vertical tangent line does not exist.
Using this information, we can see that f(x) is not differentiable when x=3 since there is a vertical tangent line. We can also see that f(x) is not differentiable when x=-1 since there is a cusp.
The polynomial function f(x) has degree 4, a y-intercept of 40, roots of -5 and 4, and a multiplicity 2 root of 1. Enter f(x).
the graph of the equation is shown
Answers
The polynomial is:
f(x) = -2*(x + 5)*(x - 4)*(x - 1)*(x - 1)
How to get the polynomial function?Let's assume the leading coefficient is A, we know that the degree is 4, the y-intercept is 40, and we have the roots (-5, 4, 1, 1)
Then the polynomial is:
f(x) = A*(x + 5)*(x - 4)*(x - 1)*(x - 1)
Now we use the fact that the y-intercept is 40, so we have:
f(0) = 40 = A*(0 + 5)*(0 - 4)*(0 - 1)*(0 - 1)
40 = A*-20
40/-20 = A = -2
Then the polynomial is:
f(x) = -2*(x + 5)*(x - 4)*(x - 1)*(x - 1)
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1) list out the elements of the set "the letters of the word mississippi" 2) list out the elements of the set "months of the year" 3) write a verbal description of the set {3, 6, 9} 4) write a verbal description of the set {a, i, e, o, u} 5) is {1, 3, 5} a subset of the set of odd integers? 6) is {a, b, c} a subset of the set of letters of the alphabe
Answers
1. The elements of the set are {m, I, s, p}
The elements of the set are the letters in Mississippi. Elements cannot repeat themselves.. So the elements of this set would be {m, I, s, p} since all the other letters are just repetitions.
2. Set of months in a year are
{January,February,March,April,May,June,July,August,September,October,November,December}
3. Verbal Descriptions: It is a verbal description of the set is an English sentence to specify a law that allows us to decide the category of objects to be addressed and to determine whether it is in the set for any particular object.
Since, 3, 6 and 9 are divisible by 3 also less than 10.
4. Verbal description of the set {a,e,i,o,u} is vowels
In English these five alphabets{a,e,i,o,u} are known as vowels .
since the given set contains only vowels.
5. Yes (1,3,5) is the subset of odd integers.
The set of odd integers is the superset containing elements :-
Let A = { 1 , 3 , 5 , 7 , 9 ,..... ,( 2n + 1 ) }
And,
B = { 1 , 3 , 5 }
B is a subset of A because all elements of B lie in A .
6. Yes (a,b,c) is the subset of letters of the alphabet.
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Remy walked to a friends house, m miles away, at an average rate of 4mph. The m-mile walk home was at only 3mph. Remy spent 2 hours walking in all. Find the value of m.
Answers
Step-by-step explanation:
speed = mph or miles/hour
so, when we are dealing with a distance and compare the time spent on the distance, we have to divide distance by speed
miles / miles/hour = hour
so, we have
m/4 + m/3 = 2
as the sum of the time it took to walk the distance at 4mph and the time it took to walk the distance at 3 mph is 2 hours.
now we multiply by the denominators one after the other to eliminate the fractions.
m + 4m/3 = 8
3m + 4m = 24
7m = 24
m = 24/7 = 3.428571429... miles
100 points HELP!
A group of friends want to go to the amusement park. They have $416.75 to spend on parking and admission. Parking is $15.25, and tickets cost $36.50 per person including tax. Which equation could be used to determine x, the number of people who can go to the amusement park
A. 36.5 (15.25 + x) = 416.75
B. 416.75 = 36.5x + 15.25
C. 15.25x = 416.75 - 36.5
C. 15.25x + 36.5 = 416.75
Answers
Answer:
tyyyy is my final answer
tap A fills 260 liters of water in 4 hours
tap B fills 248 liters in 4 hours
how many more liters tap A can fill than tap B in 8 hours
Answers
Answer:
Step-by-step explanation:
the numbers to order them from greatest to least sqrt(29); (sqrt(6))/4; 19/7 1.538392 ...
Answers
The order of numbers from Greatest to Least is 5.385, 2.714, 1.538, 0.612.
Descending Order :Arranged in a series that begins with the greatest or largest and ends with the least or smallest.
We can also call it Greatest to Least.
To order the number from greatest to least first we have to find the value of given square root,
√29 = 5.385
√6/4 = 0.612
19/7 = 2.714
Now, we have the numbers :
5.385, 0.612, 2.714, 1.538
So, we will arrange the above numbers greatest to least
1) 5.385
2) 2.714
3) 1.538
4) 0.612
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Jenny polled her 35 co-workers to find out which type of candy they liked best. She found that 10 like chocolate, 8 like gumdrops, 2 like hard candy, and 3 like taffy. There were 5 people who said they like BOTH hard candy and taffy and the remaining co-workers said they like BOTH chocolate and gum drops. How many of Jenny’s co-workers enjoy gumdrops or chocolate?
a.
10
d.
7
b.
8
e.
25
c.
18
Answers
The number of co-workers that like gumdrops and chocolate is 7 (option b).
How many like chocolate and gumdrops?The mathematical operations that would be used to determine the answer are addition and subtraction.
Addition is determining the total value or summing two or more numbers. The sign used to represent addition is +. Subtraction is the process of determining the difference between two or more numbers. The sign used to denote subtraction is -.
The first step is to add the total number of people who like a particular type of candy : 10 + 8 + 2 + 3 + 5 = 28
The second step is to subtract that number gotten in the previous step from the total number of co-workers.
Co-workers that like both chocolate and gum drops = 35 - 28 = 7
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What is the most common statistical method of expressing the precision of a series of repetitive measurements?.
Answers
The common statistical method of expressing the precision of a series of repetitive measurements is the standard deviation.
What is a standard deviation?It should be noted that the standard deviation is the measure of how dispersed the data is in relation to the mean.
It should be noted low standard deviation implies that data are clustered around the mean, and high standard deviation means data are more spread out.
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Maggie Travers works in the town's sanitation department. She is on a group health plan provided by the state for municipal employees. The insurance costs $6700 annually. The state pays 40% of the cost. Maggie is paid semi-monthly. How much should she expect to be deducted from her pay each paycheck for health insurance?
Answers
Answer:
$167.50
Step-by-step explanation:
Since the state pays 40% of the health insurance, Maggie will have to pay 100 - 40 = 60% of the insurance amount annually
60% = 0.6 decimal
So Maggie pays 0.6 x 6700 = $4,020
Maggie is paid semi-monthly ie 2 paychecks a month
In a year, there are 12 months so Maggie receives 24 paychecks annually
The total insurance amount of 4020 is split over 24 paychecks
So each paycheck deduction will be 4020/24 = $167.50
a manager of a fast food restaurant wants the drive-thru employee to ask every fifth customer if he or she is satisfied with the service. who makes up the sample?
Answers
The population of this fast food business is made up of all customers who use the drive-thru window, whereas the sample, or representative group of the population, is made up of every fifth customer as per the concept of statistics.
What are statistics?
A branch of mathematics, statistics is a body of knowledge that deals with the gathering, examination, interpretation, and presentation of data. Instead of being a subfield of mathematics, some people view statistics as a separate mathematical discipline.A population is a total group from which a statistical sample is taken in statistics. Here, the manager only inquires about the fifth customer's pleasure after becoming interested in his drive-through staff. Therefore, those customers who do not use the drive-thru window at this restaurant are not part of the sample population about whom it is possible to inquire.
As a result, the population of this fast food business is made up of all customers who use the drive-thru window, whereas the sample, or representative group of the population, is made up of every fifth customer.
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A fisherman can row upstream at 2 mph and downstream at 8 mph. He started rowing upstream until he got tired and then started downstream to his start point. How far did the fisherman row if the entire trip took 2 hours?
Answers
If a fisherman can row upstream at 2 mph and downstream at 8 mph. He started rowing upstream until he got tired and then started downstream to his start point. How far did the fisherman row if the entire trip took 2 hours is: 6.4 miles.
DistanceLet d = the distance to the turn around point
Time = Distance/ Speed
Up time + Down time = 2hrs
d/2 +d/8 =2
Multiply by 8
8×d/2 +8×d/8 =8 (2)
4d + d = 16
5d = 16
Divide both side by 5d
d=16/5
d = 3.2 miles to turn around
Hence,
Round trip = (3.2 miles ×2)
Round trip= 6.4 miles
Therefore If a fisherman can row upstream at 2 mph and downstream at 8 mph. He started rowing upstream until he got tired and then started downstream to his start point. How far did the fisherman row if the entire trip took 2 hours is: 6.4 miles.
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Please help me with this question I don't understand it. Please it must be easy for yall genius's
Answers
Answer:
Range is 12 and mean is -6
Step-by-step explanation:
To find the mean, add together all the numbers and divide by 7.
How many solutions are in the problem two thirds(6j+9)=3j+7
Answers
The problem two thirds(6j+9)=3j+7 has one solution.
How many solutions does the problem have?The given problem is 2/3(6j + 9) = 3j + 7
In order to determine the number of solutions, take the following steps:
Expand the bracket on the left:
(2/3 x 6j) + (2/3 x 9)
4j + 6
4j + 6 = 3j + 7
Combine similar terms :
4j - 3j = 7 - 6
Add similar terms
j = 1
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the base of a ladder is 10 feet away from the bottom of a building’s wall. if the ladder makes a 35 ◦ angle with the ground, find the length of the ladder to the nearest tenth of a foot.
Answers
The length of the ladder to the nearest tenth of a foot as evaluated by trigonometric ratios is; 12.2ft.
What is the length of the ladder as discussed to the nearest of a foot?Since the base of the ladder as indicated in the task content is 10 feet away from the bottom of a building's wall, it follows that the set-up in discuss is analogues to a right triangle whose adjacent is 10ft;
Therefore, the length of the ladder which is the hypothenuse can be evaluated as follows;
cos 35° = 10/L
L = 10/cos 35
L = 12.2ft.
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(-1,3), (-12), (92)
(37), (5,7), (5-3)
(52 73), (96, 73), (94, 1483)
(5-5), (1,4) (4₂2)
Graph and find the 4th point to create a rectangle
Answers
note: enter your answer and show all the steps that you use to solve this problem in the space provided. simplify the expression 8 2 9 ( 12 ÷ 3 ⋅ 2 ) − 7 . 82 912÷3·2-7. explain each of your steps.
Answers
129 is the value of expression .
What is PEMDAS?
The abbreviation PEMDAS is used to indicate the sequence of steps to be taken when resolving expressions with multiple operations. P is for "parentheses," E is for "exponents," M is for "multiplication," D is for division, A is for addition, and S is for subtraction.We use , P/E/M/D/A/S (Parenthesis, Exponents, Multiply, Divide, Add, and Subtract)
8^2 + 9(12/3*2) - 7
= 64 + 9(8) -7
= 64 + 72 - 7
= 129
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Please help as fast as you can!!!!
-2 1/3 - 1 3/4=
Answers
I think that is the answer
4=8/3
I hope this helps, I think thin is the right answer
which way the the graph of g(x) = |x + 3| move