The endpoints of a side of rectangle ABCD in the coordinate plane are at A (2,9) and
B (6, 1). Find the equation of the line that contains the given segment.
The line segment is AD.
The equation is y =

The Endpoints Of A Side Of Rectangle ABCD In The Coordinate Plane Are At A (2,9) AndB (6, 1). Find The

Answers

Answer 1

Answer:

y = [tex]\frac{1}{2}[/tex] x + 8

Step-by-step explanation:

A(2, 9)

B(6, 1)

[tex]m_{AB}[/tex] = [tex]\frac{1-9}{6-2}[/tex] = - 2

AB ⊥ AD ⇒ [tex]m_{AD}[/tex] = [tex]\frac{1}{2}[/tex]

A(2, 9)

y - 9 = [tex]\frac{1}{2}[/tex] (x - 2)

y = [tex]\frac{1}{2}[/tex] x + 8


Related Questions

Roman watched 2/5 of a movie on Monday and 1/3 on Tuesday. What fraction of the movie does he still have left to watch?

Answers

Answer:

4/15

Step-by-step explanation:

Make both fractions have equal denominators:

2 x3      ----->   6/15

5 x3

                                            6/15 + 5/15 = 11/15 --->  15/15 - 11/15 = 4/15

1 x5      ------>  5/15

3 x5

Which expression has the same value as 4÷25 in fraction form

Answers

Answer:

4/25

Step-by-step explanation:

It is a fraction with 4 in the numerator and 25 in the denominator.

4

__

25

help me plz i really need help

Answers

Answer:

I think the answer is C it may not be right but I think it is

A car moves at a speed of 30m/s to the west for 3hr. What is the displacement of the car in km?

Answers

(30m/s divided by 2)x 10800 ( convert 3hr to seconds by x with 60squared)
= 162000 m ( convert m to km by dividing with 1000)
= 162 km


Plz mark as brainleast if this answers helped ya.

Ann is maling packages. Each small package costs her $2.80 to send. Each large package costs her $3.20. How much will it cost her to send 4 small packages
and 6 large packages
However answers first will be marked brainliest ;)

Answers

for the small 11.20$

for the big 19.20$

Answer:

30.4

Step-by-step explanation:

4 small=2.8 x 4=11.2

6 large=3.2 x 6=19.2

Add them together and the answer is 30.4!

Hope I helped!

In right triangle ABC with right angle B, the sin 48° is equal to the cosine of what angle measure?

Answers:

48°

42°

90°

52°

Answers

Answer:

42

Step-by-step explanation:

from the trigonometric identity

[tex]sin \beta =cos(90 -\beta )[/tex]

if [tex]\beta[/tex]=48 hence

[tex]90-48=42[/tex]

hence

[tex]sin48=cos42[/tex]

{ vowels in the word ALGEBRA}​

Answers

Answer:

3 counting ALL VOWELS, or, 2 counting no double ups

Step-by-step explanation:

vowels - a, e, i, o, u

Show your work please
will give brainliest...
The square of a certain positive number is equal to 2 more than seven-thirds of that number. What is the number?

6
4
3

Answers

Answer:

3

Step-by-step explanation:

x^2=7/3x+2

3^2=7/3(3)+2

9=7+2

9=9

3 is the answer have a great day!!

Danny paid $17.22 for 6 gallons of gasoline. How much did Danny pay for one gallon of gas?

Answers

Answer:

Danny paid 2.87$ per gallon of gasoline

Step-by-step explanation: 17.22 divided by 6

PLEASE HELP ASAP

Write the slope-intercept form of the equation of each line. Identify the slopes y-intercept

Answers

Answer:

10) m: 6

    b: 5

    y= 6x +5

12)  m: -2

     b: -1

     y= -2x-1

14)  m: 1

     b: 0

     y= x

Step-by-step explanation:

The slope-intercept form is the form y=mx+b

m is the slope. You can find it by finding two points that the line intersects, and counting the number of units between them.

Remember the slope is "rise over run", so, the difference in y over the difference in x.

b is the y-intercept. You can find it by looking at where the line crosses the y-axis.

Hope this helps you out!

hhgggfgn help hellp
me

Answers

Answer:

First one

Step-by-step explanation:

Answer:

Hey! No need to fret ok so you are doing 7/6 the answer is 1.16 what do we know about this that is true.

Step-by-step explanation:

You are correct only the sum which is 1.16 is irrational because the product of the numbers is rational. Hope I help have a good day please put me for brainliest Thank You!

Please helpppppp meeee!!!!!

Answers

Answer:

5 minutes

Step-by-step explanation:

it drains 7 gallons per a minute so therefore in 35 gallons it would be 35/7 which is 5 minute for 35 gallons

Write the equation so that a = 1: x2 + x =

Answers

The answer is : x^2 + x = x ( x + 1 )

What is algebraic equation ?

In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations. For example, 3x² − 2xy + c is an algebraic expression.

There are various method through which we can solve or define the algebraic expression. One definition I have mentioned earlier..

To solve this equation

if a = 1, the equation x^2 + x = can be completed as follows :

x^2 + x = x ( x + 1 )

Therefore, the final answer is :  x^2 + x = x ( x + 1 )

To know more about algebraic expression visit : https://brainly.com/question/953809

#SPJ1

Frogs: The population of a species of frog declines by 24% every year. Suppose 100 frogs are released into a pond. Which exponential model represents this population?

Answers

Answer:

p = 100(1 + 0.24)^n

Step-by-step explanation:

If this were exponential growth, we'd use the model p = 100(1 + 0.24)^n, where n is the number of years.  But here we have exponential decline, which requires subtracting 0.24 in the formula instead of adding it to 1:

p = 100(1 - 0.24)^n = 100(0.76)^n

Next time, please share the given answer choices.  Thanks.

Determine the Measure of angle X

Answers

Answer:

[tex]x=325[/tex]°

Step-by-step explanation:

[tex]360-35=325[/tex]

The answer above mine is correct... ^^;

1) g(x) = 4x + 3
h(x) = 3x + 3
Find g(x) + (x)

Answers

Answer:

Step-by-step explanation:

g(x) = 4x + 3

h(x) = 3x + 3

g(x) + h(x) = 7x + 6

One integer is 7 more than another. Their product is 540

Answers

x(x + 7) = 540
x ^2 + 7x - 540 = 0
x ( x + 27) - 20(x + 27) = 0
X - 20 = 0
X = 20
20 and 27

Consider the line y=5x -3 Find the equation of the line that is patellar to this line and passes through the point (-8, -3) Consider the line y=5x -3

Answers

Answer:

The equation of the line that is parallel to given line and passes through the point (-8, -3) is: [tex]y = 5x+37[/tex]

Step-by-step explanation:

Given equation of line is:

[tex]y=5x-3[/tex]

The general form of equation of line in slope-intercept form is written as:

[tex]y = mx+b[/tex]

Here m(co-efficient of x) is the slope of the line and b is the y-intercept.

Comparing the given equation with the general form we get

m = 5

Two parallel lines have same slope so the slope of any line parallel to given line will also be 5.

Let m1 be the slope of required line parallel to y=5x-3

Then m1=5

Putting in general form

[tex]y = m_1x+b[/tex]

[tex]y=5x+b[/tex]

To find the value of b(y-intercept) the given point has to be put in the equation from which the line passes.

The point is (-8,-3)

[tex]-3 = 5(-8)+b\\-3 = -40+b\\b = -3+40\\b = 37[/tex]

Putting the value of b and m1, we get

[tex]y = 5x+37[/tex]

Hence,

The equation of the line that is parallel to given line and passes through the point (-8, -3) is: [tex]y = 5x+37[/tex]

What is the quotient of 3 3/4 ÷2/5

Answers

Here you go!! Hope this helps

Answer:

9.375

Step-by-step explanation:


[tex] \sqrt{2x - 5 } = 0[/tex]
What is x? ​

Answers

Answer:

x= 5/2

Step-by-step explanation:

the only way a root could be 0 is when the radical is 0.

2x-5=0

transpose

2x= 5

x= 5/2

[tex]\textsf{Hey there!}[/tex]

[tex]\huge\text{Question: } \mathsf{\sqrt{2x -5}= 0}[/tex]

[tex]\bullet\ \large\textsf{First you have to square root both of your sides}[/tex]

[tex]\huge\text{Like: }\mathsf{\bf{2x-5 = 0^2}}\\\mathsf{\rightarrow0^2=0}\\\mathsf{\rightarrow 2x - 5 = 0}[/tex]

[tex]\bullet \ \large\textsf{Add by 5 on both of your sides}[/tex]

[tex]\huge\text{Like: }\bf{\mathsf{2x - 5+5 = 0 + 5}}\\\textsf{Cancel out: }\mathsf{-5 + 5\ because\ that\ gives\ you\ 0}\\\textsf{Keep: }\mathsf{0+5\ because\ that\ helps\ us\ solve\ for\ our\ answer}\\\mathsf{\rightarrow\underline{0+5= 5}}[/tex]

[tex]\bullet\large\text{ New equation}[/tex]

[tex]\mathsf{2x =5}[/tex]

[tex]\bullet \large\text{ Divide both of your sides by 2}[/tex]

[tex]\mathsf{\dfrac{2x}{2}=\dfrac{5}{2}}\\\\\huge\textsf{Cancel out: }}\mathsf{\dfrac{2x}{2}\ because\ it\ gives\ you\ 1}\\\textsf{Keep:}\mathsf{\dfrac{5}{2}\ because\ it\ helps\ us\ solve\ for\ x}[/tex]

[tex]\large\textsf{{{\underline{Answer}}}}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Thus, your answer is: \boxed{\boxed{\mathsf{\bf{x = \dfrac{5}{2}}}}}}}}\huge\checkmark[/tex]

[tex]\mathsf{Note: Plug\ \dfrac{5}{2}\ into\ your\ equation\ (for \ x)\ and\ make\ sure \ that\ that\ it\ works }[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

PLEASE HELP ILL GIVE AS MANY POINTS AS YOU WANT!!

Answers

Answer:

-2= y=-13, (x,y)= (-2,-13)

0= y= -3, (x,y)= (0,-3)

1= y= 2, (x,y)= (1,2).

Step-by-step explanation:

Please mark as brainliest. :)

100 subtracted by 20 equals

Answers

Answer:

80 :)

Step-by-step explanation:

6c = 7c − 7
with work shown

Answers

Answer:

c = 7

Step-by-step explanation:

6c = 7c - 7

Subtract 6c to both sides

0 = c - 7

Add 7 to both sides

c = 7

Answer:

c = 7

Step-by-step explanation:

Step 1: Subtract 7c from both sides.

6c − 7c = 7c − 7 − 7c

−c = −7

Step 2: Divide both sides by -1.

-c/-1 = -7/-1

c = 7

select all equations that are equivalent to 5x+(x+6)+3x

Answers

Whoops! It looks like your question was not part of an academic assignment. Since Brainly is only intended for homework questions, we had to remove it. Please keep the question feed clear of personal questions so other users can get the help they need. Thanks! ߷

0.07, 0.005, 0.75
from smallest to largest

Answers

0.005,0.07,0.75 its the answer to your question

H = (0.24)I^2Rt, solve for R.​

Answers

Answer:

Step-by-step explanation:

f(x) = x + 2
Find f(-5)

Answers

Answer:

f(-5) = -3

Step-by-step explanation:

f(x) = x + 2

Let x = -5

f(-5) = -5 + 2

      -3

Let n be a natural number. Write the expression for the next natural number after n. Please help!

Answers

Answer:

n+1

Step-by-step explanation:

If for example n=4,

the next natural number is 5 (4+1)

Harry fills up his Jeep with gasoline and notes that the odometer reading is miles. The next time he fills up his Jeep, he pays for gallons of gasoline. He notes his odometer reading is miles. How many miles per gallon did he get?

Answers

Complete question :

Harry fills up his Jeep with gasoline and notes that the odometer reading is 23,568.7 miles. The next time he fills up his Jeep, he pays for 12.6 gallons of gasoline. He notes his odometer reading is 23,706.3 miles. How many miles per gallon did he get?

Answer:

10.9 miles per gallon

Step-by-step explanation:

Given that :

Odometer reading when filled up with gasoline = 23,568.7 miles

Odometer reading with 12.6 gallons of gasoline = 23,706.3 miles

Miles per gallon gotten :

(Current Odometer reading - reading when filled up) / gallon of gasoline

(23706.3 - 23568.7) / 12.6

= 10.920634

= 10.9 miles per gallon

Turtles and tortoises have long life spans. A tortoise can live for 54,750 days. How many years can a tortoise live?

Answers

Answer:

150 years.

Step-by-step explanation:

Just divide 54750 by 365.

Use a calculator.

Other Questions
Jacobs parents have allowed him to get a cell phone but he must pay his own cell phone bill. He pays a flat rate of $35 and $0.50 for every minute he talks on the phone. If y represents the total cost of the bill and x represents minutes talking on the phone, which equation best fits the situation? The scale factor of the blueprint of a theater stage to the actual theater stage is 1 in/6 ft . The area of the stage on the blueprint is 48in2. What is the area of the actual stage? A) 1,728 ft2 B) 288 ft2 C)10,368 ft2 D) 864 ft2 What is the volume of the prism shown?14 ft11 ft9 ft 20 points to whoever can answer this.what did virgil ...sam...sae young...curtis....and nora plant in the book..SEEDFOLKS 4d + 3 - d + c NOT MULTIPLE CHOICE! what happened when the Romans left England? Suppose that you are a scientist who studies climate changes. While examining the rings of tree trunks, you notice several very large tree rings. What can you conclude about the climate during those years? Write each percent as a decimal and as a mixed number or fraction in the simplest form.0.35% Which best describes the purpose of Chapter 2 of Wheels of Change?to tell readers about the controversies surrounding women who cycledto inform readers about the invention of the bicycle and its rise in popularityto educate readers about the health dangers associated with cyclingto persuade readers to take up activism on behalf of female cyclists Write the complete proof in your paper homework and for online (only) complete the probing statement (if any) that is a part of your proof or related to it. Try These questions out and Ill give you brainliest love yall You buy 6 items for $25.60. About how much did you spend?$75$145$150$125 Fill in the blanks: In photosynthesis, ____________________ energy is transformed into __________________energy and _______________________ gas is released. In cellular respiration, ________________ is broken down and __________ gas is released. The writer wants to conclude the passage by reiterating the main claim. Which of the following sentences best accomplishes this goal? Your story must begin with these words:We had been planning the journey for several months but had no idea of the excitement that was waiting for us!200 to 250 words You and your family go on a vacation to a spot in Maine that is 300 miles away. Your average driving 60 miles per hour, How long will it take you to get to the vacation spot ? Which best describes an area of a polygon?a - The number of square units contained in the interiorb - The product of the side lengths c - The number of the cubic units contained in the interiord - The distance around the outside edge I think that you can be more stressed out by being the impostor and you can vibe doing task as a crew mate (type your opinion) calculate the value of net force acting on given body?5N acting towards right & 15N force acting towards left on the brick.(draw fbd) As an adolescent, it is very normal to hear from loved ones certain expectations or demands which come as either simple or complicated. write specific expectations you hear from them?