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

[ALGEBRA 2 POLYNOMIAL DIVISION/REMAINDER THEOREM]
Help!!! I'm desperate to find the answer, will give brainliest to first person that answers the question in the photo!

Answers

Answer:

  k = -4

Step-by-step explanation:

The remainder theorem tells you that the remainder from division f(x)/(x -k) is f(k). You want the value of k such that ...

  f(k) = -15

Looking on the given graph, you find that k must be -4. That is, ...

  f(-4) = -15

  k = -4

_____

The divisor with k=-4 is (x -(-4)) = (x +4). The second attachment shows the division of f(x) by (x+4). The remainder is shown on the bottom line.

Find the slope of the line that contains (−7,−1) and (−7,9).

If the slope is not an integer, enter it is a fraction in simplest form. Do not enter a mixed number. Remember, a fraction in simplest form never contains a negative sign in the denominator. If the slope is undefined, “undefined” should be entered.

Answers

Answer:

undefined

Step-by-step explanation:

Slope = y - y / x - x

9 - (-1) / -7 - (-7)

= 9 + 1 / -7 + 7

= 10 / 0, undefined.

Cannot divide by zero.

you have to use y2-y1 divided by x2-x1 so the answer would be 8/3

3 MS Wingate's coffee table is 7 feet wide the length of the coffe table is 8 times the width what is the perimeter of the coffe table?

Answers

It should be 126 because it’s a rectangle and you have to add all the side since it’s perimeter meaning 7x8=56 56x2=112 7x2=14 112+14=126

Party. Elena is buying cups and plates for her party. Cups are sold in packs of 8 and plates are sold in packs of 6. She wants to have the same number of plates and cups.
Find a number of plates and cups that meet her requirement.

How many packs of each supply will she need to buy to get that number?

Name two other quantities of plates and cups she could get to meet her requirement.

​Tiles. A restaurant owner is replacing the restaurant’s bathroom floor with square tiles. The tiles will be laid side-by-side to cover the entire bathroom with no gaps, and none of the tiles can be cut. The floor is a rectangle that measures 24 feet by 18 feet.
What is the largest possible tile size she could use? Write the side length in feet. Explain how you know it’s the largest possible tile.

How many of these largest size tiles are needed?

Name more tile sizes that are the whole number of feet that she could use to cover the bathroom floor. Write the side lengths (in feet) of the square tiles.

Stickers. To celebrate the first day of spring, Lin is putting stickers on some of the 100 lockers along one side of her middle school’s hallway. She puts a skateboard sticker on every 4th locker (starting with locker 4), and a kite sticker on every 5th locker (starting with locker 5).
Name three lockers that will get both stickers.
After Lin makes her way down the hall, will the 30th locker have no stickers, 1 sticker, or 2 stickers? Explain how you know.

Kits. The school nurse is assembling first-aid kits for the teachers. She has 75 bandages and 90 throat lozenges. All the kits must have the same number of each supply, and all supplies must be used.
What is the largest number of kits the nurse can make?
How many bandages and lozenges will be in each kit?

What kind of mathematical work was involved in each of the previous problems? Put a checkmark to show what the questions were about.

Evaluation: What Kind of Problem?
1. For each problem, tell whether finding the answer requires finding a greatest common factor or a least common multiple. You do not need to solve the problems.
a. Elena has 20 apples and 35 crackers for making snack bags. She wants to make as many snack bags as possible and wants each bag to have the same combination of apples and crackers. What is the largest number of snack bags she could make?

b. A string of holiday lights at a store has three colors that flash at different times. Red lights flash every fifth second. Blue lights flash every third second. Green light flashes every four seconds. The store owner turns on the lights. After how many seconds will all three lights flash at the same time for the first time?

c. A florist orders sunflowers every 6 days, starting from the sixth day of the year, and daisies every 4 days, starting from the fourth day of the year. When (or on which day) will she order both kinds of flowers on the same day?

d. Noah has 12 yellow square cards and 18 green ones. All the cards are the same size. He would like to arrange the square cards into two rectangles—one of each color. He wants both the yellow and green rectangles to have the same height and to be as tall as possible. What is the tallest possible height for the two rectangles?

2. Explain how you know which problem(s) involves finding the greatest common factor.

Answers

Answer:
For 80 people, Elena would need
14 packs of plates and 10 packs of cups
She would have at least 80 of each.


I am not completely sure of this, sorry if wrong.

Step-by-step explanation:
80 people
8 cups per pack
6 plates per pack
8, 16, 24, 32, 40, 48, 56, 64, 72, 80
6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84
LCM (least common multiple) = 24

Please answer number 1 and 2.

I have to do 2 pages of homework I need this done I have school tomorrow..

Have no idea how to do this. Please help I beg you.

Answers

1, a.) The two specific conjectures are in the first image.

1, b.) The two general conjectures are in the second image.

2, a.) Two specific conjectures for this pattern are:

The common difference between two consecutive terms is 3.And the given difference is A.P.

2, b.) From our observation two general conjecture is that the given sequence is an arithmetic sequence and the common difference is 3.

For finding its nth term we can use the formula: a(n) = a + (n-1) x d.

2, c.) A formula for the given pattern is 5 + (n-1)3, where n is the number of the term.

Write x² + 4x +5 in the form (x + a)² +b where a and b are integers.​

Answers

Answer:

this is your answer

Step-by-step explanation:

This is you answer

Answer:

Complete the square

Step-by-step explanation:

(sin^2(0)) I really need help with this asap

Answers

Answer:

Asapa

[tex] (sin2(0) [/tex]

y=4x−9y, equals, 4, x, minus, 9
Complete the missing value in the solution to the equation

Answers

Answer:

(3,3)

Step-by-step explanation:

To find the y - value that corresponds to x=3 , substitute the x - value in the equation.

y=4x-9

y=4*3-9

y=12-9

y=3

Therefore, (3/3) is the solution to the equation.

I hope it helps.

Answer:3,3

Step-by-step explanation: bc khan

is y in y + 2z + 45 + 5x a constant?​

Answers

Answer:

See below

Step-by-step explanation:

No, a constant is a number without a variable ( variables are represented with a letter )

y is a variable as it is a letter.

The constant in y + 2z + 45 + 5x would be 45 as it has no variable.

whadt is the first and second quotient of 1178 divided by 31

Answers

Answer:

its 38

Step-by-step explanation:

use a calculator like i did :)

the three altitudes of a triangle intersect at the:

Answers

Answer: orthocenter

Explanation:

An altitude of a triangle extends from one vertex to the opposite side, where this altitude is perpendicular to the opposite side. The term "altitude" is often interchanged with "height". Think of a tall mountain that has a lot of altitude, so it's got a lot of height.

Any triangle has 3 different altitudes (one per corner). For any triangle, those three altitudes always intersect at exactly one point: the orthocenter. This is one of the many centers of a triangle. Other centers are the centroid, incenter, and circumcenter.

Find the side lengths in the following triangle.

Answers

Answer:

I'm not too sure which one you need, so choose what answer needs to go in the box!

JL= 44.5

JK=23.3

KL=23.3

Step-by-step explanation:

Since JK and KL are equal to eachother, we have to find the missing variable through them. You want to choose one side to have the variable number and the other side for the normal numbers. I can't really explain this next bit, so I'll show the math below:

V N

4x - 10.7 = 2x + 6.3

+10.7. +10.7

_________________

4x = 2x + 17

-2x -2x

2x = 17

So, once there is only one variable number and one normal number left, what do you do? You divide the variable by the number it's worth and carry the division to the normal number.

2x = 17

÷2. ÷2

_______

x = 8.5

So, 8.5 is our number we need. We then just insert it into all the equations to get the numbers.

4 × 8.5 = 34

34 - 10.7 = 23.3

Since JK and KL are equal, they are both 23.3.

5 × 8.5= 42.5

42.5 + 2 = 44.5

JL=44.5

Can someone help me please​

Answers

D does not show to Communicative Property of Addition. D is the Communicative Property of Multiplication.

Answer:

D. ab=ab

Step-by-step explanation:

Communitive property of addition is a number plus a number and the number added to the first number backwards but equal the same answer. For instance (if you don't understand what I'm saying) Look at answer A in your problem, a+b=b+a that's how the communitive property works in addition. The rest of the answer choices also shows communitive property. This is why answer D does NOT show the communitive property in addition.

I'm sorry if I didn't explain right or if I'm wrong but I tried my best. Have a good day and enjoy your answer. I hope you learned something Thanks :)

A class has $140 for tickets to a science museum. The teacher writes $140÷10=14. Alma says that tickets are $14 each. Mohamed says that $14 students are going on the trip. Who is correct?

Answers

Alma was definitely correct to say that the tickets are $14 each.

The total amount in dollars the class have for tickets to the science museum

is $140.

The teacher writes as follows:

140 ÷ 10 = 14

Alma says the tickets are $14 each.

Mohammed says that 14 students are going for the trip

The teacher divided 140 by 10. This means the number of student in the class is 10 not 14 as Mohammed enunciated.

The teacher divided the total amount available for the ticket($140) by the number of student in the class(10). Then the quotient ($14) is the amount in dollars which each student will pay for the ticket to the science museum.

Therefore, Alma was definitely correct.

learn more about algebra here:  https://brainly.com/question/11455464?referrer=searchResults

f(x)=3x-5, f(2r)

help or i might have to retake this class next semester AHHHH

Answers

Answer:

f(2r) 6r - 5

Step-by-step explanation:

Substitute x = 2r into f(x) , that is

f(2r) = 3(2r) - 5 = 6r - 5

Can someone please help me with this easy math problem?

Answers

Here is my answer. I hope it is helpful.

I think this is the last thing I need help with, but I REALLY need this done to raise my grade!!! I'll mark brainliest!!

Answers

Answer:

Step-by-step explanation: there you go

Please help
Simplify :3x^5+4x^2-8x^5+3x^2-8x

Answers

Answer:

-5x^5 + 7x^2 - 8x

Step-by-step explanation:

Add like terms:

3x^5 - 8x^5 = -5x^5

4x^2 + 3x^2 = 7x^2

Calculate the value of 2x and 3x

Answers

Answer:

2x= 88

3x = 132

Step-by-step explanation:

The sum of the angles  that form a circle is 360

2x+3x+140 = 360

5x+140 = 360

5x+140-140 = 360-140

5x= 220

Divide by 5

5x/5 = 220/5

x=44

2x= 2*44=88

3x = 3*44=132

In a school hall 2/5 of the chairs are red 3/7
are blue and the rest are yellow
If there are 24 yellow chairs, how many chairs are blue?

Answers

Answer:

  60

Step-by-step explanation:

We can use 5·7 = 35 as a common denominator for these fractions. This tells us the fraction of red chairs is 2/5 = 14/35, and the fraction of blue chairs is 3/7 = 15/35. The rest of the (35 -14 -15)/35 = 6/35 chairs are yellow. This means the ratio of chair colors is ...

  red : blue : yellow = 14 : 15 : 6

Multiplying this by 4 will give 24 yellow chairs:

  4·14 : 4·15 : 4·6 = 56 : 60 : 24 . . . . red : blue : yellow chairs.

60 chairs are blue.

what is the answer of 3125 ÷ 25 and show how you got the answer

Answers

Answer:

125

Step-by-step explanation:

because 3125 divided 25 equals 125.

how do you want me to show you how i divided?

Answer:

125 is the answer, you can check this by simply multiplying 125 by 25, which will give you 3125.

Step-by-step explanation:

What is the length of the longest side of an isosceles triangle with leg lengths 2x+12 and 5x-9 and base length 6x-2?

Answers

Your longest length is going to be 40

make t the subject of the formula in the image

Answers

Answer:

t=[tex]\frac{2-3q}{q+4}[/tex]

Step-by-step explanation:

q(t+3)=2-4t

qt+3q=2-4t

qt+4t=2-3q

t(q+4)=2-3q

t=[tex]\frac{2-3q}{q+4}[/tex]

The radius of a circle is 11 ft. Find its area in terms of π π.

Answers

Answer:

Area: 121π ft^2

(or just 380 ft^2)

Please help me with this question.

Answers

Answer:

TrueTrue

Step-by-step explanation:

Dilation does not affect angles or the direction of lines. The lines of a dilated figure will be parallel to the original, unless they go through the center of dilation.

Line CD does not go through P, so C'D' is distinct and parallel to it (True).

Angles B and B' are congruent. (True)

in the diagram below, what is the value of X?

Answers

Answer:

x=15

Step-by-step explanation:

Well we start with the fundamentals of a triangle we know that all the angles of a triangle add up to 180*, so you can start by adding 55* and 65* and end up with 120* then you can add 30* and get 150* then you can take the total of 150* and subtract it from 180* to get 30 now you take that 30 and divide it by 2 and get 15* for the final angle of the triangle.

I need helpppppppppppop

Answers

Answer:

Step-by-step explanation:

Domain:  I don't see any restrictions on the domain, although at some point y will become exceedingly large.

Range:  -9 to infinity

Increasing Interval:  x>2

Decreasing Interval:  x <2

End behavior:

- as x ⇒∞, y⇒∞

Helpp
10.
9.
7 ÷
7x
7 mi
=
=
1
3
gal
1-0 0-0
O
miles per gallon

Answers

Answer:

21mi/gn

Step-by-step explanation:

7mi/1/3gncalculate the product

7mi/gn/3simplify the complex fraction

So the answer is=21mi/gn

Hope it helps

plz help with my math hw

Answers

Answer:

cant see

Step-by-step explanation:

A triangle has a perimeter of 29 inches. Two of the other sides measure 9 inches and 9 inches. What is the length of the third side?

Answers

Answer:

Step-by-step explanation:

The perimeter = side1 + side2 + side3

P = 29

side1 = 9

side2 = 9

29 = 9 + 9 + side3

29 = 18 + side3           Subtract 18 from both sides

11 = side 3

Answer:

hb≈7.12in

a Side

9

in

c Side

9

in

P Perimeter

29

in

γ

c

a

h

b

b

h

b

h

b

c

γ

a

b

a

c

b

γ

P

c

γ

a

b

A

Using the formulas

A=hbb

2

A=s(s﹣a)(s﹣b)(s﹣c)

P=a+b+c

s=a+b+c

2

Solving forhb

hb=﹣﹣P4+4P3a+4P3c﹣4(Pa)2﹣12P2ac﹣4(Pc)2+8Pa2c+8Pac2

2a﹣2P+2c=﹣﹣294+4·293·9+4·293·9﹣4·(29·9)2﹣12·292·9·9﹣4·(29·9)2+8·29·92·9+8·29·9·92

2·9﹣2·29+2·9≈7.1239in

Step-by-step explanation:

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