The midpoint of AB is M(4.-2). One endpoint is A(-2,6). What is the length of AB ?

5 units
10 units
20 units
28 units
None of these

Answers

Answer 1

Answer:

AB = 20 units

Step-by-step explanation:

Given the coordinate midpoint M(4.-2) and A(-2,6), we are to find the length AB. To get that, we need to get the coordinate of B first as shown

M(X, Y) = [(x1+x2/2, y1+y2/2]

X = x1+x2/2

4 = -2+x2/2

8 = -2+x2

x2 = 8+2

x2 = 10

Y = y1+y2/2

-2 = 6+y2/2

-4 = 6+y2

y2 = -4-6

y2 = -10

Hence the coordinate of B is (10, -10)

Recall that A =(-2, 6)

Get AB;

AB = √(x2-x1)²+(y2-y1)²

AB = √(-2-10)²+(6+10)²

AB = √(-12)²+(16)²

AB = √144+256

AB = √400

AB = 20 units


Related Questions

A city has a vacant lot in the shape of an isosceles trapezoid and the city workers are installing a fence around the lot. What length of fencing is required? Round the answer to the nearest meter. А 25 m B x 25 m 45° The length of fencing required is meters.​

Answers

Answer:

Length of the fence required = 135 m

Step-by-step explanation:

Total length of the fence required to cover the vacant lot = Perimeter of the isosceles trapezoid

Perimeter of ABCD = AB + BC + CD + AD

Since, AB = BC = EF = ED = 25 m

From the given right triangle BEC,

m∠EBC = m∠ECB = 45°

ΔBEC will be an isosceles triangle.

So, BE = EC

By Pythagoras theorem,

BC² = BE² + EC²

25² = 2(EC)²

EC = [tex]\frac{25}{\sqrt{2}} =17.7[/tex] m

And DC = (DF + EF + EC)

             = EC + EF + EC [Since, DF = EC]

             = 2EC + EF

             = 35.4 + 25

             = 60.4 m                            

Hence. perimeter of ABCD = 25 + 25 + 60.4 + 25

                                              = 135.4 m

                                              ≈ 135 m

Therefore, length of the fence required = 132 m

What is the least common denominator of 11/6 and 9/10?

Answers

Answer:

The least common denominator is 30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

the least common multiple ( L.C.M ) of 6 and 10 = 30

determine the measure of each segment then indicate whether the statements are true or false

Answers

Answer:

[tex]d_{AB}\ne d_{JK}[/tex]

[tex]d_{AB}\ne \:d_{GH}[/tex]

[tex]d_{GH}\ne \:d_{JK}[/tex]

Therefore,

Option (A) is false

Option (B) is false

Option (C) is false

Step-by-step explanation:

Considering the graph

Given the vertices of the segment AB

A(-4, 4)B(2, 5)

Finding the length of AB using the formula

[tex]d_{AB}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

        [tex]=\sqrt{\left(2-\left(-4\right)\right)^2+\left(5-4\right)^2}[/tex]

         [tex]=\sqrt{\left(2+4\right)^2+\left(5-4\right)^2}[/tex]

         [tex]=\sqrt{6^2+1}[/tex]

         [tex]=\sqrt{36+1}[/tex]

        [tex]=\sqrt{37}[/tex]

[tex]d_{AB}\:=\sqrt{37}[/tex]

[tex]d_{AB}=6.08[/tex] units        

Given the vertices of the segment JK

J(2, 2)K(7, 2)

From the graph, it is clear that the length of JK = 5 units

so

[tex]d_{JK}=5[/tex] units

Given the vertices of the segment GH

G(-5, -2)H(-2, -2)

Finding the length of GH using the formula

[tex]d_{GH}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

         [tex]=\sqrt{\left(-2-\left(-5\right)\right)^2+\left(-2-\left(-2\right)\right)^2}[/tex]

          [tex]=\sqrt{\left(5-2\right)^2+\left(2-2\right)^2}[/tex]

          [tex]=\sqrt{3^2+0}[/tex]

           [tex]=\sqrt{3^2}[/tex]

[tex]\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]

[tex]d_{GH}\:=\:3[/tex] units

Thus, from the calculations, it is clear that:

[tex]d_{AB}=6.08[/tex]  

[tex]d_{JK}=5[/tex]

[tex]d_{GH}\:=\:3[/tex]

Thus,

[tex]d_{AB}\ne d_{JK}[/tex]

[tex]d_{AB}\ne \:d_{GH}[/tex]

[tex]d_{GH}\ne \:d_{JK}[/tex]

Therefore,

Option (A) is false

Option (B) is false

Option (C) is false

calculate 1/2 - 1/3× 6/7​

Answers

Answer:

3/14

Step-by-step explanation:

This is because 1/2-1/3 is 1/6 and then 1/6 times 6/7 is 3/14

Answer:

here u go

Step-by-step explanation:

please help me with this question ​

Answers

Answer:

top right and bottom left

Step-by-step explanation:

im in precal and if i get this wrong i am so sorry

but im pretty sure those r what increasing graphs look like as the increase in a positive direction

hope this is correct and helps :)

hi need help with math
some one help

Answers

Answer:

Ether C or D. hope this helps


PLSSS HELPPPPPP PLSSSS

Answers

Answer:

Morgan, its a straight line and it goes through the origin

Step-by-step explanation:

Find the value of x.
2x – 4
10

Answers

Answer: 7

Step-by-step explanation:if 10 and the other equation are the same then 2(7)-4=10

Which statement is not always true for a parallelogram?

Answers

Answer:

b

Step-by-step explanation:

Answer:

Diagonals are congruent drop a like if you got it right

Step-by-step explanation:

Which graph shows y=1/2⌈x⌉?

Answers

Answer:Is the top right one

The sum of the reciprocals of two consecutive integers is 9/20
. Find the two integers.

Answers

Answer:

4,5

Step-by-step explanation:

The LCM of 4 and 5 is 20, and their sum is 9, so 1/4+1/5 = 9/20.

brainliest pls :)

Use your trendline to find the temperature of your Spaghettios after 40 minutes. Is this an example of interpolation or extrapolation?

NEED HELP ASAP WITH SHOWN WORK!!!!!!!!!!!!

Answers

Answer:

in 40 minutes, 15 degrees Farenheit  will be e

Step-by-step explanation:

Examine the sequence of integers below.
26, 17, 8, -1, -10, -19
Which algebraic expression represents the nth integer in this sequences

Answers

Answer:it’s D

Step-by-step explanation:

Each time u subtract -9 and it keeps multiplying 9,18,27

An algebraic expression represents the nth integer in the given sequences is 35-9n.

Given that, the sequence of integers 26, 17, 8, -1, -10, -19.

What is an algebraic expression?

An algebraic expression (or) a variable expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc.

From the given sequence 26, 17, 8, -1, -10, -19 we have a=26 and d=17-26=-9.

Now, put a=26 and d=-9 in an=a+(n-1)d, we get

an=26+(n-1)(-9)

=26-9n+9

=35-9n

Therefore, an algebraic expression represents the nth integer in the given sequences is 35-9n.

To learn more about the arithmetic sequence visit:

https://brainly.com/question/10396151.

#SPJ5

Determine the number of subsets of {sock, shoe, shirt, hat, glove}

14
14

16
16

32
32

20

Answers

Your moms butt HAHAHAHAHHAHHHAHAHHHAHAHHAHAHHHIM SO FUNNY

easy question/ whats |9x|=-9

Answers

Answer:

you divide 9 from both side and get x=-1

Step-by-step explanation:

Big brain stuff

x=1 Thats  the answer

Write 968,000 in scientific notation.
A. 968 × 103
B. 96.8 × 102
C. 9.68 × 104
D. 9.68 × 105

Answers

The answer is D I believe

a trucks height is 3 meters 35 centimeters. how tall is the truck in millimeters

Answers

3,350 millimeters. pretty sure it’s right

What does a cluster tell you about the data on a scatter plot?

A. A cluster tells you the location of the greatest point in a set of data values.
B. A cluster tells you the location of the least point in a set of data values.
C. A cluster tells you where there are no data values.
D. A cluster tells you where there is a concentration of data values.

Answers

D. A cluster tells you where there is a concentration of data values.

convert 16 into binary

Answers

convert 16 into binary number is 0b10000

You want to learn karate at a fitness center. You have two options; option A is to pay a $300 registration fee plus $10 per additional lesson. Option B is pay $35 for each lesson you attend. Make equations to represent the total cost of Option A and B.

Answers

Answer:

Option A: 300 + 10x

Option B: 35x

Step-by-step explanation:

option A:

$300 + $10 per lesson

Total cost = 300 + 10x

Option B:

$35 per lesson

Total = 35x

Where,

x = number of lessons

The equations to represent the total cost of Option A and B are 300 + 10x and 35x respectively

If g(x) = 1/2x - 5, then for what value of x is g(x) = 8?
a) -1
b) 11
c) 26
d) 6

Answers

Answer:

c) 26

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

g(x) = 1/2x - 5

g(x) = 8

Step 2: Solve for x

Substitute:                    8 = 1/2x - 5Isolate x term:               13 = 1/2xIsolate x:                       26 = xRewrite:                         x = 26

HURRY PLEASE!!! 10 MINUTES!!!!!!!!!!

Many golfers wear wrist bracelets containing magnets because they claim the magnets improve balance and the length of shots played off the tee. A golfer would like to determine if the claim has merit and proposes two methods for collecting data. Method 1: As golfers approach the first tee, give some golfers wrist bracelets with magnets and some golfers wrist bracelets without magnets. During the round of golf, keep track of the length of the golfers’ shots. Method 2: Contact golfers who have purchased wrist bracelets with magnets and ask them to provide information about their shot length. Which statement about these methods is true? Method 1 is an observational study because it does not attempt to influence responses. Method 2 is an observational study because it does not attempt to influence responses. Method 2 is an observational study because it could include golfers from many golf courses. Both methods are observational studies because they both collect information about shot length.

Answers

Answer:

I think it is D

Step-by-step explanation:

Answer:

C

EDGE

Step-by-step explanation:

1. ab=l (solve for a)

Answers

Answer:

l/b=a

Step-by-step explanation:

Fourteen boxes of candles were sold for $91.00. What is the cost of 1 box?​

Answers

Answer:

$6.50 per 1 box

Step-by-step explanation:

$91.00 ÷  14 boxes = $6.50 per 1 box

Check Work:

$6.50 x 14 boxes = $91.00

I NEED HELP NOW !!!!!!! In order for each sheep to get enough grass to eat, there should be 7 sheep for each acre of land. Which farm has the correct ratio of sheep to acres? Select the best answer from the choices provided. A. The Twelve Oaks farm has 14 sheep and 2 acres of land. B. The Tara farm has 28 sheep and 3 acres of land. C. The Butler farm has 35 sheep and 6 acres of land. D. The Scarlett farm has 21 sheep and 2 acres of land. 10 POINTS

Answers

Answer:

A: The Twelve Oaks farm has 14 sheep and 2 acres of land.

Step-by-step explanation:

For every 7 sheep, there has to be one acre of land. In order for you to find how many sheep are needed for each acre, you would multiply the amount of acres and you should get the amount of sheep that farm holds.

A. 2 x 7 = 14 meaning there should be only 14 sheep at a farm that only has 2 acres of land.

B. 3 x 7 = 21 meaning there should be only 21 sheep at a farm that only has acres of land.

C. 6 x 7 = 42 meaning there should be only 42 sheep at a farm that only has 6 acres of land.

D. 2 x 7 = 14 meaning there should be only 14 sheep at a farm that only has 2 acres of land.

Hope this helps!

Please tell me if I am incorrect I enjoy learning from my mistakes!

Good luck!

What is the exponential form of the expanded form below? 10.10.10.10.10. A 5.10 B 5)10 C 10)1. D 10)5 ​

Answers

Answer:

the answer is D

Step-by-step explanation:

Answer: D AKA (10*5)

Step-by-step explanation:

I took the test on edge 2020 and it was correct!! and 10 5 times would make more sense being D which is 10*5

STAY SAFE :)

What is the value of the expression 1/2-(-1/3+2/5)

Answers

answer 13/30

or 0.43 repeating

Step-by-step explanation:

I can't figure out it's multiple choice​

Answers

Answer:1,5

Step-by-step explanation:

gimme brainliest

You are taking a road trip and you need to rent a car. You look on the internet to compare car
rental prices. The first company you find, Wreckham rentals charges $29.95 each day along with a charge of
.23 per mile
What will the cost be for one day if you drive the car 10 miles?

Answers

Answer:

I got 32.25

Step-by-step explanation:

I did .23 times 10 then added on to 29.95

Answer:

32.25$

Step-by-step explanation:

i did the math

29.95

plus

.23*10= 2.30

29.95 plus 2.30= 32.25

this is why I think it's the answer but plz tell me if I'm wrong

Use point-slope form, y - y1 = m(x - x1), to find the linear equation of a line that passes through the points (3, -1) and (1, 1).

Answers

Answer:

Plug it in.

y = -1, y1 = 1

x = 3, x1 = 1

-1 - 1 = m( 3 - 1)

-2 = 2m

m = -1

The slope is -1

y = -x +b

-1 = -3 +b

b = 2

The equation is y = -x + 2

Hope this helps.

Step-by-step explanation:

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