Given:
Line segment NY has endpoints N(-11, 5) and Y(3,-3).
To find:
The equation of the perpendicular bisector of NY.
Solution:
Midpoint point of NY is
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{-11+3}{2},\dfrac{5-3}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{-8}{2},\dfrac{2}{2}\right)[/tex]
[tex]Midpoint=\left(-4,1\right)[/tex]
Slope of lines NY is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{-3-5}{3-(-11)}[/tex]
[tex]m=\dfrac{-8}{14}[/tex]
[tex]m=\dfrac{-4}{7}[/tex]
Product of slopes of two perpendicular lines is -1. So,
[tex]m_1\times \dfrac{-4}{7}=-1[/tex]
[tex]m_1=\dfrac{7}{4}[/tex]
The perpendicular bisector of NY passes through (-4,1) with slope [tex]\dfrac{7}{4}[/tex]. So, the equation of perpendicular bisector of NY is
[tex]y-y_1=m_1(x-x_1)[/tex]
[tex]y-1=\dfrac{7}{4}(x-(-4))[/tex]
[tex]y-1=\dfrac{7}{4}(x+4)[/tex]
[tex]y-1=\dfrac{7}{4}x+7[/tex]
Add 1 on both sides.
[tex]y=\dfrac{7}{4}x+8[/tex]
Therefore, the equation of perpendicular bisector of NY is [tex]y=\dfrac{7}{4}x+8[/tex].
answer helppppp plsss i’m on quizzzz
What is the 15th term of the sequence an =
-3n+50
D. 95
Answer:
= 105
Step-by-step explanation:
Answer:
here ya go
Step-by-step explanation:
a
9
=
105 I think
A grocery store sells steak for $6.10 per pound. What would be the cost of 2 lb of steak?
Answer: 12.20
Step-by-step explanation:
because if 6.10 is the amount for one pound, then if u need 2 pounds, then multiply 6.10 with 2.
Evaluate 2(5 + x^2)+ y if x = 3 and y = 2
Answer:
30
Step-by-step explanation:
Start by substituting
2(5+3²) +2 = ___
Parenthesis
3²= 3 · 3 = 9
add that to 5 = 14
2(14) +2 = ___
2 times 14 = 28.
28 + 2 = 30
Answer:
30.
Step-by-step explanation:
2(5+ x^2)+ y
x=3, y=2
Using the given information for x and y and distributing that into the equation, the equation becomes:
2(5+ 3^2)+ 2
Now, use order of operations or PEMDAS (parenthesis, exponents, multiplication, division, addition, subtraction) to solve the problem.
The answer you should get is 30. :,)
Evaluate x−y when x=23 and y=−13
Answer:
36
Step-by-step explanation:
The equation would turn out as 23--13
But when there are two negatives, it turns into a positive, creating the equation of 23+13
Then you add to equal 36.
What is the equation of the line that is perpendicular to the given line and passes through the point (5, 3)
Deanna Jones opened a video rental store this year with 400 tapes. She plans to buy 150 new tapes each year from now on. Deanna expects to have 1300 tapes available during her fifth year in business. At her current purchasing rate, will she reach her goal? Explain.
A. No, she will have only 1150 tapes.
B. Yes, she will have exactly 1300 tapes.
C. Yes, she will have over 1300 tapes.
HURRY NEED SOON PLEASE
If Moore Motors buys at cost a truck for $4,000 and plans to sell it for $6,000, the percent markup on cost is:
Answer: 50%
Step-by-step explanation:
(6000-4000)/4000= 2000/4000
=2/4=1/2
(1/2)100=50
11)
Paul pays the delivery man £180 for working 24 hours.
How much will he pay him for working 40 hours?
£
Answer:
£196
Step-by-step explanation:
1) 180/24=7.5
2) 40-24=16
3) 180+16=196
so he has to pay £196
. Jordan is inviting 8 friends to his party. He wants to give each friend 2 maracas and have 2 for himself. Maracas come in boxes of 6. How many boxes does he need to buy? +
Answer:
3 boxes of maracas
Step-by-step explanation:
9 x 2 = 18
18 ÷ 6 = 3 boxes of maracas
Answer:
He needs to get three boxes.
Step-by-step explanation:
We know that he wants two, we know that he has eight friends coming. He wants two maracas per friend. To find the total number of maracas you must multiply the amount of friends by the amount of maracas.
8 * 2= 16
You add the two maracas for himself to find the total maracas needed.
16+2= 18
Next you divide the amount of maracas needed by six because the are six maracas per box.
18÷6=3
The total number of boxes needed is three
what word problem would fit for 7x+10=-3x-2
Answer:
A number is multiplied by 7 and the added to 10 and it is equal to when -3 is multiplied by the same number and then 2 is taken away. Find the number.
Step-by-step explanation:
interpretation: 7x+10=-3x-2
WHOS GOOD AT GEO PLEASE HELP ME!!!!!
The Venn diagram represents the Quantum Physics High School student body. Circle A represents all students enrolled in extracurricular activities. Circle B represents all female students. There are 117 female students enrolled in extracurricular activities, and the enrollment of the high school is 1,000 students. There are 450 male students. How many female students are not enrolled in extracurricular activities?
A.
117
B.
433
C.
550
D.
883
Answer:
D
Step-by-step explanation:
From the total 1000 students, 450 are male, so 1000 - 450 = 550 students are female.
117 students are both [enrolled in extracurriculars] and [female].
The total number of [female] students is equal to the total number of [female AND enrolled] students plus the total number of [female AND not enrolled] students. The events of being enrolled in extracurriculars and not being enrolled are mutually exclusive. So if x is the number of female students not enrolled in extracurriculars, then
550 = x + 117
x = 550 - 117
x = 433
and the answer is B.
A middle school took all of its 6th grade students on a field trip to see a ballet. The students filled 4753 seats, which was 97% of the total number of seats in the theater. How many total seats were in the theater?
Answer:
4900
Step-by-step explanation:
What is 4(2 + a) = 24
a=
Answer:
2/5
Step-by-step explanation:
Rearrange terms:
4(2 + a) = 24a
4(a + 2) = 24a
Distrbute:
4(a + 2) = 24a
4a + 8 = 24a
Subtract 8 from both sides of the equation:
4a + 8 = 24a
4a + 8-8 = 24a-8
Simplify:
4a = 24a - 8
Subtract 24a from both sides of the equation:
4a = 24a - 8
4a - 24a = 24a - 8 - 24a
Combine like terms:
-20a = -8
Divide both sides of the equation by the same term:
-20a = -8
-20a/-20 = -8/-20
Simplify:
Cancel terms that are in both the numerator and denominator
Divide the numbers
a = 2/5
I hope that helps! :D
By 27leejaeypleaseee help
A job placement agency helps match job seekers with potential employers. The agency would like to design a simulation in order to help predict the likely job placement outcomes for job seekers based on historical trends and patterns. Which of the following is most likely to be a benefit of the simulation?
A. The computer simulation will be able to include more details and complexity than the real-world job placement process.
B. The computer simulation could be used to test hypotheses about patterns in the job placement process that are costly or time consuming to observe in reality.
C. The computer simulation will be able to precisely predict the real-world outcomes for each job seeker.
D. The computer simulation will remove the bias that may arise in the real-world job placement process.
Answer:
B.
Step-by-step explanation:
All computer simulations are designed to test a large number of different scenarios with various sets of data in order to understand each output that certain data generates and ultimately find the best solution. This is the overall main reason why simulations are created. The same applies in this scenario, this simulation will be used to test hypotheses about patterns in the job placement process that are costly or time-consuming to observe in reality. If such tests had to be conducted by actual people it would take months, years, or even decades to generate and analyze all the data.
Answer:
Its D
Step-by-step explanation:
You gotta believe me
What subfield of mathematics requires the most spatial reasoning?
No answer needed, just need to get rid of all my points.
Answer:
brainlest?
Step-by-step explanation:
......
Answer: I looked it up and got a couple of answers of spatial reasoning. Don’t know if that helps but yeah thats what I got lol
Step-by-step explanation:
Given u = ⟨1, 3⟩, v = ⟨2, 1⟩, and cos(ϴ) = sqrt2/2, where ϴ is the angle between the vectors, what is the scalar projection uv and the dot product u · v?
uv = 1.41 and u*v = 4.47
uv = 2.24 and u · v = 5.00
uv = 2.24 and u · v = 7.07
uv = 7.07 and u · v = 15.81
Answer:
Step-by-step explanation:
l
Option C corresponds to the vectors scalar projection and dot product, which are uv = 2.24 and u v = 7.07.
To find the scalar projection (uv) and the dot product (u · v) of vectors u and v, use the following formulas:
Scalar Projection (uv) of u onto v:
uv = |u| × cos(ϴ)
Dot Product (u · v) of u and v:
u · v = |u| × |v| × cos(ϴ)
u = ⟨1, 3⟩ and v = ⟨2, 1⟩, and cos(ϴ) = √(2)/2,
calculate the magnitudes of u and v first:
|u| = √(1² + 3²) = √10
|v| = √(2² + 1²) = √5
Now, calculate the scalar projection (uv) and the dot product (u · v):
Scalar Projection (uv) of u onto v:
uv
= |u| × cos(ϴ)
= √10 × √(2)/2
= √(10/2)
= √5 ≈ 2.24
Dot Product (u · v) of u and v:
u · v
= |u| × |v| × cos(ϴ)
= √10 × √5 × √(2)/2
= √(1052)/2
= √100/2
= √50
≈ 7.07
Therefore, the scalar projection and dot product of the vectors is equal to option c. uv = 2.24 and u · v = 7.07.
Learn more about vectors here
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If y varies directly as x and x=2 when y=−4, find y when x=−6.
Equation: ____________
Solution: y = ___________
Answer:
Equation: x × -2 = y
Solution: y = 12
Step-by-step explanation:
if (x = 2) is (y = -4) then (x = 1) is (y = -2) so if (x = -6) is (y = 12) if we follow the equation [x × -2 = y] which was found using the first set of variables and dividing each by 2.
please help me asap
Answer:
answer is c
Step-by-step explanation:
HELP!! It’s question 8
Answer:
the answer is 1.25 or 5/4
Answer:
Actual kitchen area equals 108 feet
Step-by-step explanation:
room turns into 12 ft. by 9 ft.
to find area: 12 x 9
Actual kitchen area equals 108 feet
PLEASE HELP WILL MARK BRAINLEIST
Answer:
a
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Order the set of integers from least to greatest 5, -3, -12, 9
Answer:
-12, -3, 5, 9
Step-by-step explanation:
ok. So the numbers are 5, -3, -12, and 9.
In these numbers, there are 2 negatives. They are -12 and -3.
In negatives, the bigger the number is, the number is smaller.
So we first put
-12, -3 as our 2 first. Then the other ones are 5 and 9.
and you obviously know that 5 is less than 9. try it out. 9-5 =4 which is positive
So then you put 5, 9
And our full answer is
-12, -3, 5, 9
Jacob is 4 feet 5 inches tall. How tall is Jacob in inches?
O 48 inches
09 inches
020 inches
0 53 inches
Answer:
He is 53 inches in height
Step-by-step explanation:
4 × 12 inches = 48 + 5 = 53
42 kids bought popcorn at the movie. This was 60% of the kids who attended the movie.
How would you summarize the process to find the number of kids who attended the
movie?
Answer:
Total number of children = 70
Step-by-step explanation:
Given:
Number of kids buy popcorn = 42
Percent of kids buy popcorn = 60% = 0.6
Find:
Total number of children
Computation:
Total number of children = Number of kids buy popcorn / Percent of kids buy popcorn
Total number of children = 42 / 0.6
Total number of children = 70
Use this scenario to answer questions 3-4: Peter was a waiter that was paid at a rate of $8 per hour plus tips. He earned a total of $200 including $54 in tips.
Given the scenario above, write an equation to represent the scenario. Let h = the number of hours
Free brainliest included! :)
Solving Quadratic Equations Maze 1
x²- 8x - 33 = 0
The solutions to the given quadratic equation are x=11 and x=-3.
The given quadratic equation is x²-8x-33=0.
The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
By using splitting middle term method, we get
x²-11x+3x-33=0
x(x-11)+3(x-11)=0
(x-11)(x+3)=0
(x-11)=0 and (x+3)=0
x=11 and x=-3
Therefore, the solutions to the given quadratic equation are x=11 and x=-3.
To learn more about the solution of quadratic equation visit:
https://brainly.com/question/18305483.
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E
Question 5/8
> NEXT
5
Cherie accepted a job through an employment agency. The job pays $1,100 weekly. The
agency charges 22% of her first three months, pay. How much money will the
employment agency receive for placing Cherie in her new job? (Round to the nearest
dollar.)
Answer: $2,904
1,100x4 than multiply by .22 then with that you multiply by 3.
$726 money will the employment agency receive for placing Cherie in her new job.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
Cherie accepted a job through an employment agency
The job pays $1,100 weekly.
The agency charges 22% of her first three months, pay.
22% of 1100 we have to calculate.
First we have to convert 22% to decimal
22/100=0.22
0.22×1100=242
Now for three months we need to calculate.
3×242
$726
Hence, $726 money will the employment agency receive for placing Cherie in her new job.
To learn more on Percentage click:
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What is 1 3/4 hours in minutes?
Answer: 105
Step-by-step explanation:
20 POINTS!!!!please help due in 20 mins
Answer:
rate of change is -1/3 (table) and 4 (graph)
Function 2 has the greater rate of change because the graph is steeper, and |4| is bigger than |-1/3|
Step-by-step explanation:
Answer:
(a) Function 1 : -2 Function 2 : 3.
(b) Function 2
Step-by-step explanation:
For function #1, you can calculate the rate of change (another word for slope) by counting the change between each y value. So, when x is 2, y is -3. When x is 3, y is -5. The rate of change is -2!
Show your work by marking an arrow for each y and writing -2.
Function #2, you need to find the slope (rate of change) by drawing a rise/run line when the equation line hits a point on the graph. One point is (-1,1) another point is (0,4). The slope/rate of change is 3.
PLEASE HELP ME ITS DUE TODAY!!
PLS SHOW WORK OR EXPLAIN!!
Answer:
(-3, -0.5)
first put the points, then just draw the line that goes throw that row of dots.
Step-by-step explanation:
so this isnt very complicated, you need to put the points on the coordinate plane (the grid) and find where they meet coordinates (written starting with the x and ending with the y are written like this: (x,y))
go to the bottom line (x axis) and find the number in the x row on the page, then take the vertical line and go until the two ends meet,repeat that until there are no more coordinates to graph on the left box draw a straight line for all of the coordinates do the same with the other box drawing a line whre the other coordinates. if done right the lines should intersect, and the intersecting point is the answer
