Find the equation of the line.
The perpendicular bisector to the line segment with endpoints (-8,5) and (4,1).
The equation of the line is
y =

Answers

Answer 1

Answer:

y = 3x + 9

Step-by-step explanation:

The perpendicular bisector to the line segment is passing through the midpoint of the line segment. Coordinates of midpoint are ( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )

Formula of slope is m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

Slopes of perpendicular lines are opposite reciprocals. So, if AB ⊥ CD , then [tex]m_{AB}[/tex] × [tex]m_{CD}[/tex] = - 1

y - [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex] )  

~~~~~~~~~~~

(- 8, 5)

(4, 1)

m = ( 5 - 1) / ( - 8 - 4) = - [tex]\frac{1}{3}[/tex]

Opposite reciprocal to ( - [tex]\frac{1}{3}[/tex] ) is 3

Coordinates of midpoint are ( - 2 , 3 )

y - 3 = 3 ( x + 2 )

y = 3x + 9  


Related Questions

Can anyone help me please I don’t understand this one can you please help me I appreciate it but don’t give me the wrong answer because I need my grade to go up I’m so sorry for being picky

Answers

Answer: (-25)/(2)

Steps:  x | 0 | 2 | 4 | 6 | 8 |

          "x" has a constant rate change of +2

          y | 100 | 75 | 50 | 25 | 0 |

          "y" has a constant rate change of -25  

         

          therefore,  y/x = -25/2

Solve for x. Geometry problem.

Answers

Answer:

12.33

Step-by-step explanation:

6x - 2 + 9x - 3 = 180° (linear pair)

6x + 9x - 2 - 3 = 180°

15x - 5 = 180°

15x = 180 + 5

15x = 185

x = 185/15

x = 12.33

hope this helps you!

Hhhhhhhhhhhhhheeeeelllpppppp

Answers

Answer:

c

Step-by-step explanation:

The answer is C.

The difference of 9 and 4 is the same thing as 9-4 (difference means subtraction is involved). 3 times that different is (9-4) x 3, with the parentheses being necessary because of PEMDAS

Eduardo's football team has won
9/10
of their games this season.
Write
9/10
as a decimal.
Write
9/10
as a percent.

Answers

Answer:

9/10=0.9

9/10=90%

Step-by-step explanation:

Answer:

[tex]\frac{9}{10}[/tex] = 0.9

[tex]\frac{9}{10}[/tex] = 90%

Hope this help!

Toby works at an amusement park. He loads 10 new passengers onto the roller coaster every
3
4
of a minute. At what rate does Toby load passengers?

Answers

Answer:

13 1/3

Step-by-step explanation:

10 divided by 3/4 =10 times 4/3 =40 /3 = 13 1/3

sorry don´t really know how to explain my work i just kinda do it .plus it was on my homework .

Answer:

13 1/3

Step-by-step explanation:

find the volume of the prism

Answers

Answer:

The formula for the volume of a prism is V=Bh , where B is the base area and h is the height.

Step-by-step explanation:

The volume of the prism whose length, breadth, and height are 10 inches, 4 inches, and 3 inches respectively is 120 inches².

A prism is a 3-D geometric shape that has two identical and parallel polygonal bases connected by a series of rectangular or parallelogram-shaped faces (also known as lateral faces).

As it is known that the volume of a prism is obtained by multiplying the area of the base and the height, i.e.,

Volume = area of the base × height

Also,

Area of the base = length × breadth

So,

Volume = length × breadth × height

             = 10 × 4 × 3

             = 120 square inches.

Therefore, the volume of the rectangular prism is 120 inches².

Learn more about Prism here:

https://brainly.com/question/12649592

#SPJ6

The complete question is as follows:

Find the volume of the rectangular prism whose length, breadth, and height are 10 inches, 4 inches, and 3 inches respectively.

HELP! write y+4 =-2/3(x-9) in standard form

Answers

ANSWER: 2x+3y=6
Explanation: I just know:)

An experiment involves studying the composition of genders of a set of triplets. What is the probability that there are 2 boys and a girl in the set?

Answers

Answer:

shoot man couldnt tell ya

Is 2/15 and 3/30 proportional

Answers

Answer:

No

Step-by-step explanation:

To turn 15 into 30, you multiple 15*2=30.

If you do that to the bottom of the fraction, you should be able to do it to the top however, 2*2=4 not 3 so they are not proportional.

brian earns 420 a daywotking at a convenience store. write an algebraic expression to represent the money hre in will earn in d days​

Answers

Answer:

420d

Step-by-step explanation:

We know that he earns 420 every day. So if we want to know how much he earns over 5 days for example, we would multiply 5 and 420...
5 X 420= 2,100
We would do the same thing no matter how many days he works.
* remember that in an algebraic expression having a variable and a constant next to each other indicates that they are being multiplied.

So we can write that as
Money earned= 420d

Please answer very urgent!! answer using a / only 1 number for each slot example:3/4: wrong tho just random number but yeah please put the correct answer

Answers

Answer:

5/6

Step-by-step explanation:

to subtract fractions you change both fractions to the same denominator. The website arealdy did it for you. The second step is to subtract the top and put it over the common denominator. 8-3 is 5. 5/6

Please help
WILL MARK BRAINLIST

Answers

Answer:

The answer is A, 13, -13.

Step-by-step explanation:

If this helped I would appreciate it if you marked me brainliest. Thank you and have a nice day!

Answer:A 13,-13

Step-by-step explanation:

whats 1+1 ( puntos gratis)

Answers

Answer:

I+I = Window

Step-by-step explanation:

Or 2

:|

I'm not too sure

Answer:

i think it's 4

Step-by-step explanation:

maybe 2

(1,2) and parallel to 3x+4y=12

Answers

Answer:

y=-3/4x+10/4

Step-by-step explanation:

1) Change given equation to slope intercept form:

3x+4y=12

4y=12-3x

y=3-(3/4)x

y=-(3/4)x+3

2) Parallel lines have the same slope, so the first part of the equation is:

y=-(3/4)x+b

3) To find b, we plug in y=2 and x=1 given the prompt:

2=-(3/4)(1)+b

2=-3/4+b

2 3/4=b

10/4=b

4) Therefore, the correct equation is:

y=-3/4x+10/4

Which of the following values are solutions to the inequality 9 < -10 – 4x?

Answers

Answer:

ndndndndndn

Step-by-step explanation:

svhddbxbdnnddjdnfn

can some help me???????

Answers

I’m pretty sure it’s the third one

!!!!!!!!!!!!!!!plz help asap. 50 POINTS!!!!

Answers

Answer:

its c. 1,155.00

Step-by-step explanation:

The answer is B i believe

Donald earns $11 per hour working at the bakery.If he works for 4 hours on Saturday and 5hours on Sunday,how much money will he earn?

Answers

Answer:999

Step-by-step explanation:11x9=999

Determine which situation could be represented by the system of linear equations given below.
5x+3y=210
x+y=60


A. A candy story sells boxes of chocolates for $5 each and boxes of caramels for $3 each. In one afternoon, the store sold 210 boxes of candy and made a profit of $60.
B. An art teacher bought paintbrushes in packs of 5 and packs of 3. She bought a total of 60 packs and now has 210 paintbrushes.
C. A guitar requires 5 strings and a banjo requires 3 strings. An orchestra has a total of 210 strings. One guitar player and one banjo player have 60 strings.
D. An audience contains 210 people. Student tickets cost $3 each and adult tickets cost $5 each. At one performance, there are 60 more adults than students.

Answers

Answer:

B

Step-by-step explanation:

The correct situation is option B, an art teacher bought paintbrushes in packs of 5 and packs of 3. She bought a total of 60 packs and now has 210 paintbrushes.

What is an equation?

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

Given equations are 5x+3y=210 and x+y=60.In the equation suppose the number of boxes of chocolates is x and the number of boxes of caramels is y.

The cost of each chocolate box is $5 and the cost of each caramel box is $3 so the total cost of the chocolate boxes is the sum of the total cost of both chocolate boxes.

5x+3y=210

The total number of chocolate boxes will be expressed as:-

x + y = 60

Therefore the correct situation is option B, an art teacher bought paintbrushes in packs of 5 and packs of 3. She bought a total of 60 packs and now has 210 paintbrushes.

To know more about equations follow

https://brainly.com/question/2972832

#SPJ2

Researchers doing a study comparing time spent on social media and time spent on studying randomly sampled 200 students at a major university. They found that students in the sample spent an average of 2.3 hours per day on social media and an average of 1.8 hours per day on studying. If all the students at the university in fact spent 2.2 hours per day on studying, with a standard deviation of 2 hours, the probability of getting a sample average of 1.8 or less is:________.a. 0.5893 b. 0.9977 c. 0.4207 d. 0.0023

Answers

Answer:

d. 0.0023

Step-by-step explanation:

Calculation for the probability of getting a sample average of 1.8 or less

Using this formula

z score =(X-mean)/Standard errror

Where,

Standard error =Standard deviation/√(n)

Let plug in the formula

P(Xbar<1.8)=P(Z<(1.8 hours per day -2.2 hours per day)/(2 hours /√(200))

P(Xbar<1.8)=P(Z<-0.4/(2/14.14))

=P(Z<-0.4/0.1414)

=P(Z<-2.83)

Now let find the Z score of P(Z<-2.83) using the z table

P=0.0023

Therefore the probability of getting a sample average of 1.8 or less is:0.0023

the sum of three times x and 33

Answers

Answer:

3x+33

Step-by-step explanation:

This is if you are just looking for an expression.

Is (n - 1)^2 odd or even

Answers

Answer:

even

Step-by-step explanation:

even

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]If \: \: n \: \: being \: \: Even \: \: → \: \: ({n - 1})^{2} \: \: will \: \: be \: \: Odd \\ [/tex]

[tex]If \: \: n \: \: being \: \: Odd \: \: → \: \: ({n - 1})^{2} \: \: will \: \: be \: \: Even \\ [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

please help this is so confusing!!!

Answers

Answer:

$16.50 on 3 bags of dog food

Step-by-step explanation:

First you would do 27.50/5 to find out how much one bag costs.

The symbol  /  mean to divide. So 27.50 divided by 5 is 5.50. We need to know the ammount of 3 bags. Hence, we evaluate 3 times 5.50 which equals to our answer, $16.50 on 3 bags of dog food. I hope this will help you succeed!

I need some help please

my answer is the one below but I'm not sure pls give work

Answers

C is the right answer

The local diner offers a meal combination consisting of an appetizer, a soup, a main course, and a dessert. There are six appetizers, two soups, four main courses, and six desserts. Your diet restricts you to choosing between a dessert and an appetizer. (You cannot have both.) Given this restriction, how many three-course meals are possible?

Answers

Answer: 96

Step-by-step explanation:

According to the fundamental principle of counting:

Total number of meals possible = (Choices for appetizers) x (Choices for soups) x (Choices for main courses) x (Choices for desserts)

If there is a restriction to choose between appetizer and dessert.

Then, Total number of meals possible = (Choices for appetizers) x (Choices for soups) x (Choices for main courses) +  (Choices for soups) x (Choices for main courses) x (Choices for desserts)

= 6 x 2 x 4 + 2 x 4 X 6

= 48+48

= 96

Hence, the number of three-course meals are possible= 96

Answer:

96?

Step-by-step explanation:

Whoever answers this first gets brainliest
Pls help ASAP

Answers

Answer:

Terminating goes to 3

Repeating goes to 4

Rational goes to 1

Irrational goes to  2

Answer:

1. Rational Number

2. Irrational Number

3. Terminating Decimal

4. Repeating Decimal

Step-by-step explanation:

A Rational Number can be written as a ratio of two integers. For example, as a simple fraction. That leaves us for the answer to the second one as irrational. To terminate means to end, so a terminating decimal is a decimal that does not go on forever. Whereas, a repeating decimal continues repeating forever (or indefinitely).  

I would like to apologize in advance if any of these were incorrect.

Determine if parallel, perpendicular, or neither.

3y+x=12
-y=8x+1

Answers

Answer:

neither

Step-by-step explanation:

1. if to re-write the equation they will be (in standart form y=kx+b):

3y+x=12 ⇔ y=-1/3 x+12 and -y=8x+1 ⇔ y= -8x-1

2. if the lines are parallel, then k₁=k₂, but k₁=-1/3 and k₂=-8 (k₁≠k₂);

3. if the lines are perpendicular, then k₁*k₂= -1, but k₁*k₂=8/3≠ -1;

4. finally, neither.

Derrick really wants to earn at least $330 at the Bike Shop this week before he goes on vacation. He earns $150 in a week plus $20 for each bicycle he assembles. Which inequality would help Derrick determine how many bicycles (b) he needs to put together?

Answers

Answer:

150 + 20x ≥ 330

Step-by-step explanation:

"At least" indicates that you should use the greater than or equal to sign. His weekly wage and the bicycle assembly money when added must be at least 330, so 150 and 20x are on the same side. The 20x represents the $20 for each bicycle multiplied by the amount of bicycles he assembled.

in which pair of figures can figure A be taken to figure B by a rotation

Answers

Answer:

Pair 1

Step-by-step explanation:

if the shape A rotated 180 degrees it would reach shape B

If the shape A is rotated 180 degrees then it would reach shape B. so the correct option is Pair 1.

How does rotation by 90 degrees changes coordinates of a point if rotation is with respect to origin?

Let the point be having coordinates (x,y).

Case 1: If the point is in first quadrant:

Subcase: Clockwise rotation:

Then (x,y) → (y, -x)

Subcase: Counterclockwise rotation:

Then (x,y) → (-y, x)

For points on axes, WE can take that point in any of the two surrounding quadrants. Example, if the point is on positive x axis, then it can taken as of first quadrant or fourth quadrant.

On origin there is No effect as we assumed rotation is being with respect to origin.

Therefore, if the shape A is rotated 180 degrees then it would reach shape B.

Learn more about rotation of a point with respect to origin here:

https://brainly.com/question/18856342

#SPJ2

Find the distance of a line given the following points. R(3, 1), W(-1, -2)

Answers

Answer:

[tex]\sqrt{13}[/tex]

Step-by-step explanation:

we can solve this using the distance formula: [tex]\sqrt{(x_{2}-x_1)^{2} + (y_{2}-y_1)^{2}}[/tex]

[tex]x_1, y_1[/tex] is (3, 1)

[tex]x_2, y_2[/tex] is (-1, -2)

[tex]\sqrt{(1-3)^2 + (-2-1)^2}[/tex]

which simplifies to: [tex]\sqrt{(-2)^2 + (-3)^2}[/tex]

then: [tex]\sqrt{2^2 + 3^2}[/tex] or: [tex]\sqrt{4+9}[/tex]

your final answer is: [tex]\sqrt{13}[/tex] or about 3.61

Other Questions
Please Help And Hurry!! (WORTH 20 POINTS)Solve5h 15 + 7h = 40(Sorry if this is easy I'm bad at math) I really strive the latest styles and trends (to wear / wearing) PLEASE HELP ASAP 80 POINTS!!!! Theresa volunteers at a food sheif. when she started, there were 213 oranges. After filling X bags of three oranges each, there were fewer than 51 oranges left. How many bags of oranges did Theresa fill?Write an expression in terms of X for the number of oranges that Theresa bagged.Part B: Write an expression in terms of X for the number of oranges that are left (have yet to be bagged).Part C: Write an inequality using the expression from Part B to represent this scenario.Part D: Solve the inequality for the variable X. Use opposite operations on both sides of the inequality until you get X on one side of the inequality by itself.Part E: Did you have to flip the inequality sign? Explain why or why not.Part F: What does the result from Part D tell you about Theresa's situation? Does the answer make sense? Explain.Part G: Think about graphing the inequality you found in Part D on a number line. What would it look like?Choose the correct number:1. open circle on 54 and arrow pointing right2. open circle on 54 and arrow pointing left3. closed circle on 54 in arrow pointing right4. closed circle on 54 and arrow pointing left Audra recently earned her associates degree and is looking for a job. Her resume lists her strengths in a separate section. Some of these strengths are outlined below:Strong math skillsComputer skills including spreadsheet programsAttention to detailCritical thinking skillsBackground in economicsWhich career is Audra best suited for?AccountantData EntryMarketing ManagerAuditing Clerk 4x-3=2x+7 solve the equation Due to unexpected circumstances, you take out a loan for $5,000 to pay for a lawyer. You agree to pay it back over the next 5 years at a rate of 22.5% (because your credit score is really really low). At the end of the 5 years, how much did this "unexpected circumstance" end up costing you in all? What is the quotient of -3/8 And -1/3? Simplify this fraction (multi choice) The figure is cut into 6 equal pieces. shade 2/3 of the figure Diego lives 1/2 miles from school.What is 50% of 1/2 Use the substitution method to solve the system of equations. Choose th correct ordered pair. y = 8x - 4 x = 4 A. (2. 12) OB. (4, 28) C. (4, 4) D. (2.4) what are most of the needed formulas to find the molar volume and the molar concentration (Cm) 11th grade chemistry Read this key passage from Just Ask Him. What is the best statement of the writers claim?One gender role has been slow to change, however: the idea that a woman ought not to ask a man out on a date. This deeply ingrained belief, held by young and old, perpetuates the notion that initiating a relationship is the sole domain of the male. It also fosters the idea that a woman should be a passive participant in her own romantic life, and that she is an object to be chosen. It ignores the progress society has made in equalizing gender roles. 9 3/4 as a percent step by step The cytoskeleton is NOT involved in...A. making energyB. cell movement (locomotion).C. maintaining cell shape.D. maintaining cell structure. What is the solution to this system of linear equations?y x = 6y + x = 10A. (2, 8) B. (8, 2)C. (6, 10)D. (10, 6)Thank you if you can help me! "Quietly endure, silently suffer and patiently wait." - Martin Luther King Jr. The above proverb refers to the struggles and achievement of every individual. Share your experience in achieving success in your life with reference to the proverb. (120-150 words) MATH HELP!! What is the y-interpret of this line? If Tina rode her bike at a constant rate for the first three hours, what was Tina's average calories burned, in calories per hour, between hour 0 and hour 3? A spring with an m-kg mass and a damping constant 3 (kg/s) can be held stretched 0.5 meters beyond its natural length by a force of 1.5 newtons. If the spring is stretched 1 meters beyond its natural length and then released with zero velocity, find the mass that would produce critical damping.