Find the midpoint of PQ¯¯¯¯¯¯¯¯ with endpoints P(0, 2) and Q(6,−2). Then write an equation of the line that passes through the midpoint and is perpendicular to PQ¯¯¯¯¯¯¯¯ . This line is called the perpendicular bisector.

Answers

Answer 1

Answer:

The midpoint of PQ is (3,0) and the equation if the line perpendicular to PQ is y=3/2(x-3).

Step-by-step explanation:

To find the midpoint, find the average of the x and y values. (0+6)/2=3 and (-2+2)/2=0

In order to make a perpendicular line, we must find the slope first of the original line.

(y2-y1)/(x2-x1) is the formula for slope

(-2-2)/(6-0)= -4/6=-2/3

Now we know the slope which is all we need to start making the equation using the point slope form which is y-y1=m(x-x1) (let m be slope) and we use the midpoint (3,0) as our point. since it is perpendicular, we will take the slope and flip it as well as change the sign

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

if you'd like, you can distribute and put it in slope intercept form

y=3/2x+9/2


Related Questions

i need help asap please Question: A dress is on sale for d dollars. The regular price is 3 times as much.

Janine has enough money to buy 2 dresses at the regular price.

How many dresses can Janine buy at the sale price?
Answers i can choose from

A.
1 dress

B.
3 dresses

C.
6 dresses

D.
9 dresses 4th grade work

Answers

Answer:

It's C

Step-by-step explanation:

You can just use simple resoning to solve this. If the orginal dress cost three times as much as the dress on sale. Then the dress on sale would cost three times as less as the original dress. Let me know if i'm wrong tho

if you drove 200 miles at an average speed of 55 miles per hour, how long did it take you to drive 200 miles? pls help

Answers

Answer:

3 hours 38 minutes is what calculators online say

Step-by-step explanation:

Manuel has 4
4 gallons of diesel in his tractor. If the tractor holds 7 gallons of diesel
many more gallons does he need to add to completely fill the tractor's fuel tank

Answers

Answer:

3

Step-by-step explanation:

7-4=3

Answer:

He has three!

Step-by-step explanation:

7-4=3 so manuel needs three more gallons! Hope this helps! :)

I need the function for the volume of the box for number 1

Answers

Answer:

Step-by-step explanation:

The volume of a rectanguiar shape like this one is V = L * W * H, where the letters represent Length, Width and Height.  Here L is the longest dimension and is 28 - 2x; W is the width and is 22-2x; and finally, x is the height.  Thus, the volume of this box must be

V(x) = (28 - 2x)*(22 - 2x)*x

and we want to maximize V(x).  

One way of doing that is to graph V(x) and look for any local maximum of the graph.  We'd want to determine the value of x for which V(x) is a maximum.

Another way, for those who know some calculus, is to use the first and second derivatives to identify the value of  x at which V is at a maximum.

I have provided the function that you requested.  If you'd like for us to go all the way to a solution, please repost your question.

-x - 11 and the opposite of -11

Answers

Answer:

The opposite of -11 is 11, and I dont understand what else you're asking

Step-by-step explanation:

Giving brainiest pls help

Answers

Answer:

Ivan: 4

Caleb: 4, 4, 4, 4, 4, 4, 4

Step-by-step explanation:

For every 4 Ivan sees, Caleb sees 28. (4 times 7)

Which is a better deal: A can of 3 tennis balls for $3 or a box of 10 balls for $9?

Answers

Answer:

a box of 10 balls for $9?

Step-by-step explanation:

because u buy 10 tennis balls for 9 dollars and the first one is not true

becuase u buy 3 balls of tennis with 3 dollars and the last answer is right

becuase you buy 10 balls for 9 that means its 1 dollar less for 10 balls

hope it helps

Suppose $\frac{1}{2} + \frac{1}{3} + \ldots +\frac{1}{x} > 1\frac{1}{2}$. What is the smallest possible value for $x$?

Answers

The smallest possible value of x is the value less than 2/3

Given the series [tex]$\frac{1}{2} + \frac{1}{3} + \ldots +\frac{1}{x} > 1\frac{1}{2}$[/tex]

We need to find the smallest possible value of x as shown:

[tex]\frac{1}{x} > 1\frac{1}{2}\\ \frac{1}{x} > \frac{3}{2}\\[/tex]

Reciprocate both sides

[tex]x < \frac{2}{3}[/tex]

Hence the smallest possible value of x is the value less than 2/3

Learn more on inequality here: https://brainly.com/question/4192645

Answer:x=7

Step-by-step explanation:

Tell me which option is correct: (0,m) (b,0) (m,0) (0,b) which one of those

Answers

Answer:

search-icon-header

Search for questions & chapters

search-icon-image

Class 11

>>Physics

>>Units and Measurement

>>Errors in Measurement

>>You measure two quantities ...

Question

Bookmark

You measure two quantities as A=1.0m±0.2m, B=2.0m±0.2m. We should report correct value for

AB

as

Medium

Solution

verified

Verified by Toppr

Correct option is

D

1.4m±0.2m

Here, A=1.0m±0.2m, B=2.0m±0.2m

AB=(1.0m)(2.0m)=2.0m

2

AB

=

2.0m

=1.414m

Rounding off to two significant figures, we get

AB

=1.4m

AB

ΔAB

=

2

1

(

A

ΔA

+

B

ΔB

)=

2

1

(

1.0

0.2

+

2.0

0.2

)=

2

0.3

Δ

AB

=

2

0.3

×

AB

=

2

0.3

×1.414=0.212m

Rounding off to one significant figure, we get

Δ

AB

=0.2m

The correct value for

AB

is 1.4m±0.2m

Write, in slope-intercept-form, the inequality shown in the graph.
Two points which the boundary line intersects are shown?

Answers

Answer:

y > 3x - 4

Step-by-step explanation:

lmk if you want an explanation

CAN SOMEONE HELP ME PLEASE ASAP!?

Answers

Answer:

C

Step-by-step explanation:

Can anyone help me on this one? i cant identify the "A, B ,C".


"Given the following linear equations in two variables, identify the values of A,B, and C."

Answers

Step-by-step explanation:

The standard form of linear equation:

Ax + By + C = 0

Convert each equation into standard form:

#53x = 183x + 0y - 18 = 0A = 3, B = 0, C = - 18#6y/2 = - 50x + 1/2y + 5 = 0A = 0, B = 1/2, C = 5

Can I get some help im not understanding this thing

Answers

Answer:

$500

Step-by-step explanation:

what I did was find the diffrence in 2002 and 2008 and its 6 and the difference between $200 and $350 its 150 so now you find the difference between 2008 and 2020 its 12 thats 2 times more than 6 so you need to do the same to the money and add 150 to 350 and its 500.

2002 - 2008 = 6       2008 - 2020 = 12

$200 - $350 = 150    $350 + 150 = $500

Help please. Been stuck for a few mins now.

Answers

Answer:

p = -3v: (4, -1)f: (4, -4)d: y = 2

Step-by-step explanation:

The equation ...

  (x -h)² = 4p(y -k)

is the equation of a parabola with vertex (h, k) and vertex-focus distance of p. When p is negative (as here), it means the focus is below the vertex, and the parabola opens downward. The directrix is p units on the other side of the vertex from the focus.

The vertex for equation ...

  (x -4)² = -12(y +1)

is (h, k) = (4, -1). The value of p is (-12/4) = -3, so the focus is (4, -1-3) = (4, -4), and the directrix is y = -1+3 = 2.

_____

Additional comment

As a check on the graph, you can remember that any point on the parabola is equidistant from the focus and directrix. You will notice the vertex is halfway between the focus and directrix, so you know that relationship is true there.

You will also notice that a horizontal line from the focus to the parabola intersects the same distance away from the focus as from the directrix. Thus the parabola distance relation holds at that point as well.

What is the probability of grabbing a blue marble from a bag that contains 4 black, 5 white, 3 red, and
2 blue marbles?

Answers

Answer: 1/7

Step-by-step explanation:

You can add 4+5+3+2 to get 14, and 2/14 can be simplified to 1/7

Is the system of equations consistent and independent, consistent and dependent, or inconsistent?

y=3x+4
y=3x+3

Select the correct answer from the drop-down menu.

Answers

Answer:

y=3x+4 I think I am correct hola amigo señorita a person in my class is called adiola adiola adiola hah

Answer:

Its inconsistent

Step-by-step explanation:

If you are doing 5.11 Unit Test: Systems of Equations - Part 1 from K12, this is your answer

The graphs of the lines do not intersect, so the graphs are parallel and there is no solution. Since there are no solutions, its inconsistent.

If it has at least ONE solution, its consistent.

If it has EXACTLY ONE solution, its consistent in dependable

If it has INFINITE AMOUNT of solutions, its consistent dependable

A pair of shoes was purchased for $120. Since they were purchased, their price has increased by 15%. What is the new price? 5 points

Answers

Answer:

$138

Step-by-step explanation:

120 · 0.15 = 18

120 + 18 = 138

PLEASEEEE HELPPPP ASAPPPP

Answers

Answer:

x ≈ 7.1

Step-by-step explanation:

Using the cosine ratio in the right triangle.

cos27° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{KL}{KM}[/tex] = [tex]\frac{6.3}{X}[/tex] ( multiply both sides by x )

x × cos27° = 6.3 ( divide both sides by cos27° )

x = [tex]\frac{6.3}{cos27}[/tex] ≈ 7.1 ( to the nearest tenth )

Hannah completed 40 problems in 32 minutes.
I have to put it in a unit rate pls help

Answers

Answer: 1.25 problems/min

32 minutes --> 40 problems

1 minute --> 40/32

                --> 1.25

There are 19 men and 31 women on an airplane. What is the ratio of the number of male passengers to the total number of passengers?

Write your answer as a fraction. Use a slash ( / ) to separate the numerator and denominator.

Answers

Answer:

19/50

Step-by-step explanation:

19 males and 50 people are in total

Answer:

19/50

Step-by-step explanation:

number of men=19

total passengers = 19+31=50

ratio of men to total people's = 19/50

Are all real numbers either rational or irrational?​

Answers

Answer:

Yes. All real numbers are either rational or irrational.

Step-by-step explanation:

The set of all irrational numbers is commonly defined as the set of all real numbers that are not rational.

Let [tex]\mathbb{R}[/tex] denote the set of all real numbers. Let [tex]\mathbb{Q}[/tex] denote the set of all rational numbers.

For any given real number [tex]x[/tex] ([tex]x \in \mathbb{R}[/tex],) either [tex]x\![/tex] is rational ([tex]x \in \mathbb{Q}[/tex]) or [tex]x\!\![/tex] isn't rational ([tex]\lnot (x \in \mathbb{Q})[/tex], such that [tex]x \not\in \mathbb{Q}[/tex] and thus [tex]x \in (\mathbb{R} \backslash \mathbb{Q})[/tex].)

Assume that [tex]x[/tex] isn't a rational number. By the definition of rational numbers, since [tex]x\!\![/tex] is a real number but not a rational number ([tex]x \in (\mathbb{R} \backslash \mathbb{Q})[/tex],) [tex]x\![/tex] would be an irrational number.

Therefore, either [tex]x[/tex] is rational or [tex]x\![/tex] is irrational. Every real number would either be rational or irrational.

Help!!! Ill give 100 points!

Answers

Answer:

7/20

Step-by-step explanation:

Answer: if you calculate math yo7 would get 7/20

Step-by-step explanation:

Awnser please jsjshshshdh

Answers

Answer:

No

Step-by-step explanation:

A function cannot have two of the same x values (3 and 3)

I hope this helps!

Systematic bias occurs when the way data are collected and measured is
inaccurate. These flawed data lead to unreliable results.
A. True
B. False

Answers

TRUE answer=sorry if wrong

how to solve 1/2x +8 = 7+ 1/2x

Answers

[tex]\frac{1}{2}x +8=7+\frac{1}{2}x <=>\frac{1}{2}x -\frac{1}{2}x =7-8<=>0x=-1[/tex] (no solution)

P/s:    [tex]\frac{1}{2}x +8\neq 7+\frac{1}{2}x[/tex]

Ok done. Thank to me :>

In 2019, the average full-time worker in the U.S. spent `8.5` hours working each workday. This is an increase on the average of `8.1` hours per workday in 2014. What is the percent change from 2014 to 2019? Round to the nearest tenth of a percent.

Answers

Answer 2019 /0.0047   /2014/  0.493

Step-by-step explanation:

The percent change in average full-time worker in the U.S from 2014 to 2019 is 4.93%.

What is Percent Change?

A percentage is a portion of a whole that is stated as a number between 0 and 100 as opposed to being expressed as a fraction.

The percentages of everything are 100%, nothing is 0%, 50% of something is 50%, and nothing is 0%.

Given:

In 2019, the average full-time worker in the U.S. spent `8.5` hours working each workday.

This is an increase on the average of `8.1` hours per workday in 2014.

So, Percent change =  (Final value - initial value) / initial value x 100

Percent change = 8.5 - 8.1 / 8.1 x 100

Percent change = 4.93%

Thus, the percent change in average full-time worker in the U.S from 2014 to 2019 is 4.93%.

Learn more about the percent change here:

brainly.com/question/809966

#SPJ2

are these equations equal ?

1. 5x^2 + 15 and 5 (x^2 + 3 )

2. 3y^2 + 6x^2 and 3 (y^2 + 2x^2)

Answers

yes.

explanation:
for the first one, you can factor out a 5 leaving you the same answer as the other one
and for the second one, you can factor out a 3, leaving you the same answer

hope it helps!

My friend needs your help

Answers

Answer:

Excuse me but there doesn't seem to be a question here, please let me know if there is so I can help you

Step-by-step explanation:

Have a great rest of your day

#Nova

The perimeter of a rectangular piece of paper is 52 inches. The area is 133 square inches. What are the dimensions of the paper?

____inches by ____ inches

Answers

Answer:

7 inches by 19 inches

Step-by-step explanation:

We can use a system of equations for this.

x=length

y=width

2x+2y=52 (Perimeter)

xy=133 (Area)

We must find x and y that fit both these equations.

Hope this helps :)

An inground swimming pool contains 2.3 times 10 Superscript 4 units of water. Which unit of measure was used?
teaspoons
cubic centimeters
fluid ounces
gallonsCassie is measuring the volume of her fish tank to find the amount of water needed to fill it. Which unit of measurement should she use to eliminate the need to write the value in scientific notation? teaspoons inches gallons pounds

Answers

Answer:

  a) gallons

  b) gallons

Step-by-step explanation:

a)

1 fluid ounce is about 6 teaspoons or 30 cubic centimeters or 1.8 cubic inches. 2.3×10^4 fluid ounces is less than 1 cubic yard. We suspect the pool is much larger than that, so its volume is probably measured in gallons.

__

b)

Of the units listed, only teaspoons and gallons are units of volume. As we saw in the previous problem, a teaspoon is a pretty small volume in relation to the size of most fish tanks. The appropriate unit of measure would be gallons.

Other Questions
an accumulation of 3,500 extra calories is stored by your body as how many pounds of fat? Catalogue is considered formal verse and contains repetition. true or false A city government is holding a vote to decide whether to construct a new bridge on city land. An undecided voter has gathered several sources of information about the proposed bridge to help her decide how to vote. After looking over all of the sources of material, she has decided that a report on the environmental impact of the bridge authored by a group of scientists and urban planners would be the most credible and relevant source.From the list below, select three reasons why this source would be credible and relevant.Select 3 correct answer(s)Question 27 options:It is well written.It is focused on the specific issue under consideration.Its authors have a financial interest of the construction project of the bridge.It is written by people who have expertise on the issue.It presents objective facts related to the issue.It is written by a group of concerned residents.It can be read on the Internet. The crow ate all of the cherries on her tree in passive voice find the quotient 3^15 / 3^3 What are the contributions from ancient India and how have they affected modern society?Example: India made major contributions to fields such as math, science, literature, religion, art, medicine, and metalworking. All of these contributions are still seen today.Pick 1 or 2 advancements to talk about what they are.Then explain how they are still seen today.Please write this in at least 2-3 paragraphs lee, grant, jackson, and sherman were all generals in which war? describe a typical market day in your town or village What effects of the Great Depression are evident Find the heat energy is required to change 2Kg of ice at 0 C to water at 20 C ( specific latent heat of fusion of water = 336000 J/Kg and specific heat of capacity of water = 4200 J/Kg C How did the US get the Panama Canal .? Which of the following best describes the relationship between the variables on the scatter plot below?A. positive and negative associationB. positive associationC. negative associationD. no association solve pls brainliestCome up with 5 examples of oxymorons and use in sentences. As you know, there are people in our country who have traditional knowledge about snakes, who even catch poisonous snakes with practically bare hands. Can you find outsomething more about them? 1. ___________ is a series pitches arranged in an ascending and descending order. *1 pointA. Regular ScaleB. Rythmic scaleC. Note IntervalD. Musical ScaleThis is a required question2. The ______ is the only key with out flat and sharps. It is also considered as the standard key. *1 pointA. Key of CB. Key of FC. Key of GD. Key of D3. ________ tells the pitch of the song. *1 pointA. Time SignatureB. Key SignatureC. Musical ScaleD. Standard Key4. ____________ are two sounded one after the other. *1 pointA. Melodic IntervalB. Harmonic IntervalC. Skipping NotesD. Skip Interval5. Two notes sounded together also known as ________1 pointA. Melodic IntervalB. Harmonic IntervalC.IntervalD. Rythmic Interval6. _________ are scales that includes half and whole steps. *1 pointA. Diatonic ScalesB. Regular scalesC. IntervalD. Rhytmic Scales7. The first and last note of the scale is called _______ *1 pointA. TonicB. DiatonicC. IntervalD. Sub tonic8. ______ is a sign which cancels the effect of sharp or a flat. *1 pointA. Natural SignB. SharpC. FlatD. Chromatic Sign9. A note that has a sharp or flat beside in different kind of scales *1 pointA. Accidental noteB. Accident toneC. Note arrangementD. All of the above10. Home tone of different key signatures.1 pointA. doB. reC. laD. miNextClear form Ben has agreed to play fewer video games and spend more time studying. He has agreed to play less than 10 hours of video games each week. On Monday through Thursday, he plays video games for a total of 5 1/2 hours. For the remaining 3 days, he plays video games for the same amount of time each day. Ben plays less than ____ hood of veido games each of the three days ? Choose the word CLOSEST in meaning to the bold word in the following question. What makes computer a miraculous device?A excellentB powerfulC easyD magical pls help what is the answer what is the best essay topic for me to do? How many times larger is 500 than 50