Find the distance, midpoint, and slope of line AB (-2,-1) and B(6,3)

Answers

Answer 1

Answer:

The correct answer is (2,1)

Step-by-step explanation:

Answer 2

The distance, midpoint, and slope  are 4√5 , (2 , 1) , 1/2 respectively.

What are the distance, midpoint, and slope  between two points?

For any two points A( x₁ , y₁ ) B( x₂, y₂)   the distance, midpoint, and slope  are given by:  1)     [tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]  

                       2)  M(x , y) = { (x₁ + x₂)/2 , (y₁ + y₂)/2 }

                      3)  m= y₂ - y₁ / x₂ - x₁

Given here the points A(-2,-1) and B(6,3)

substituting the values we get,

1) [tex]d = \sqrt {\left( {-2- 6} \right)^2 + \left( {-1 - 3} \right)^2 }[/tex]    

  [tex]d = \sqrt {\left( {8 } \right)^2 + \left( {4 } \right)^2 }[/tex]

[tex]d = \sqrt {\left( 80{ \right)^ }[/tex]

[tex]d =4\sqrt {\left5 }[/tex]

2)      M(x , y) = { (-2 + 6)/2 , (-1 + 3)/2  }

                     =  (2 , 1)

3)  m = { (6 - (-2) / (3 - (-1)) }

        = 1/2

Hence,  distance, midpoint, and slope  are 4√5 , (2 , 1) , 1/2 respectively.

Learn more about  distance, midpoint, and slope here:

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Related Questions

Which triangles are similar A or b? I need help.

Answers

Answer:

A!

Step-by-step explanation:

DIG DEEPER! Solve the
2x – y + 3z = -1
x + 2y - 4z = -1
y -- 2z = 0
The solution is

Answers

Answer:

x = - 1, y = 2, z = 1

Step-by-step explanation:

Given the 3 equations

2x - y + 3z = - 1 → (1)

x + 2y - 4z = - 1 → (2)

y - 2z = 0 → (3)

Add (1) and (3) term by term

2x + z = - 1 → (4)

Multiply (1) by 2

4x - 2y + 6z = - 2 → (5)

Add (2) and (5) term by term

5x + 2z = - 3 → (6)

Multiply (4) by - 2

- 4x - 2z = 2 → (7)

Add (6) and (7) term by term

x = - 1

Substitute x = - 1 into (4)

- 2 + z = - 1 ( add 2 to both sides )

z = 1

Substitute x = - 1, z = 1 into (2)

- 1 + 2y - 4 = - 1

- 5 + 2y = - 1 ( add 5 to both sides )

2y = 4 ( divide both sides by 2 )

y = 2

solution is (x, y, z ) = (- 1, 2, 1 )

A submarine 50.2 m below the surface of the ocean goes up 15.6 m. Then it goes down 35.7 m. What is the
submarine's new position relative to the surface of the ocean? Show your work.
Help Please?

Answers

Answer:

70.3

EXPLANATION:

ejxjcjfkfkgkvkfkdkgnvkdlekgkgngkdkfjvnfk

6th grade math i mark as brainliest​

Answers

The answer would be C, sorry if I’m wrong

Calculate the average time it took the car to travel 0.25 and 0.50 meters with two washers attached to the pulley. Record the averages, to two decimal places, in Table C of your Student Guide.

What is the average time it took the car to travel 0.25 meters?

seconds

What is the average time it took the car to travel 0.50 meters?

seconds

Answers

Answer:

1.92 second at 0.25 meters.

2.61 second at 0.50 meters.

Step-by-step explanation:

the average 2 washers  on time travel of:

0.25 m : 1.94 / 1.95 / 1.87 = 1.92 second

0.50 m: 2.69 / 2.72 / 2.42 = 2.61 second

In this exercise we have to calculate the time that a car makes in a certain distance, in this way we find that:

A) In 0.25 meters in 1.92 second.

B) In 0.50 meters in 2.61 seconds.

We know that some information is given in the statement as:

In 0.25 meters the car speeds are: 1.94/ 1.95/ 1.87In 0.50 meters the car speeds are: 2.69 / 2.72 / 2.42

Knowing that the formula for calculating time is given by:

[tex]Time= Distance/Speed[/tex]

So we have:

A) [tex](1.94 +1.95 + 1.87)/3= 5.76\\0.25/5.76=1.92 s[/tex]

B)  [tex]2.69+ 2.72 + 2.42= 7,83\\0.50/7,83=2,61[/tex]

See more about time at brainly.com/question/2570752

I will give 5 stars and brainlist.

Answers

Answer:

I believe it's B

Step-by-step explanation:

I'm so sorry if im wrong

B is the answer...........

What is the probability that the selected adult is a smoker?

Answers

Answer:

Alot of adults smoke and very little adults don´t smoke at all

Step-by-step explanation:

14.0% of U.S. adults overall.

like to me 85% of adults smoke

WHICH OF THE FOLLOWING IS TRUE FOR THIS SITUATION?

Answers

B (sorry if wrong) hope this helps
It’s D

Check the graph, they both are at 4 inches by 6 weeks so that’s the right answer

If 28 parrots and 79 bunnies were in the same shelter what is the rate of parrots to bunnies?








and if u delete that i can say u guys were deleting actual questions- and have proof too ha.







seriously again im not mean irl

Answers

Put both values into a ratio

P:B
28:79

Answer:

79/28

Step-by-step explanation:

i have no clue-

Solve the inequality of x. 2x + 6 < 18

Answers

The Answer isssssssss  x<6

467 divided by 17 plzz answer

Answers

Answer:

27.47059

Step-by-step explanation:

Just use a calculator :^

0.5 (n-4) -3 = 3 - (2n+3)

Answers

Answer:

n = 2

Step-by-step explanation:

0.5n - 2 - 3 = 3 - 2n -3

0.5n + 2n = 2 + 3 + 3 -3

2.5n = 5

n = 2

Answer:

Step-by-step explanation:

0.5n - 2 - 3 = 3 - 2n - 3

Solving like terms

0.5n - 5 = - 2n

-5 = - 2n - 0.5n

-5 = - 2.5n

-5/-2.5 = n

2 = n

The students at Porterville Elementary sold raffle tickets, each for the same price, for a fundraiser. The equation below shows how much money was raised with t tickets sold.

$624 = $12t

What is the unit rate in the equation above?
A.
$624 per raffle ticket
B.
$52 per raffle ticket
C.
$612 per raffle ticket
D.
$12 per raffle ticket

Answers

Answer:

B. 52 per raffle ticket

Step-by-step explanation:

you divide 624 by 12 giving the answer of 52

The train station clock runs too fast and gains 8 minutes every 10 days.
How many minutes and seconds will it have gained at the end of 4 days?

Answers

Answer: 3 minutes and 12 seconds

Step-by-step explanation: You can see 8 minutes every 10 days as a fraction (8/10). This can be simplified to 4/5, meaning that the amount of time gained will be 4/5 of the # of days that have passed. 4/5 of 4 days is 3.2 minutes, and that can be converted to 3 1/5. 60 seconds divided by 5 is 12 seconds, meaning that 1/5 of a minute is 12 seconds. Therefore, the answer is 3 minutes and 12 seconds.

What is the solution(s) to the equation? Use algebra only, no graphing.
(5x + 15)(x - 7) = 0

Answers

Answer:

x = -3, x = 7

Step-by-step explanation:

( 5x + 15 ) ( x - 7 ) = 0

5x + 15 = 0

5x = -15

x = -3

x - 7 = 0

x = 7

Answer:

x=−3 or x=7

Step-by-step explanation:

(5x+15)(x-7)=0

5x2−20x−105=0

5(x+3)(x−7)=0

x+3=0 or x−7=0

x=−3 or x=7

Margaret is making strawberry milkshakes for the kids party. The recipe calls for of a cup of strawberry syrup to make 12 milkshakes. How many cups of strawberry syrup are needed to make 108 milkshakes?
A.
36
B.
12
C.
4
D.
3

Answers

3 cups of strawberry syrup are needed to make 108 milkshakes.

7. The Majestic company increased the cost of an Astros jersey from $80 to $110. By what percentage was the price of
the Astros jersey increased?

Answers

Answer:

50%

Step-by-step explanation:

The cost = $80

Increased cost = $120

% Increase = (120-80) / 80 * 100

% Increase = 40/80 * 100

% Increase = 0.5 * 100

% Increase = 50%

So, the price of the Astros jersey increased by 50%

HELP ILL GIVE brainliest !!

Answers

Answer: To distinguish, when using part-to-part ratios, you have to put a 2 numbers that can be summed to the total. Part-to-whole relationships is put from half or a number that doesn’t go over the total can be described as a part-to-whole.

Step-by-step explanation:

Answer:

part to part is comparing one part of a group to another part of the group but part to whole is comparing one part of the group to the enire group

Step-by-step explanation:

A example when looking trail mix would be:

Part to part: comparing the number of peanuts to the number of raisins

Part to whole: comparing the number of peanuts to the entire bag of trail max

The measures of the angles of a triangle are shown in the figure below. Find the
measure of the smallest angle.
(3x-9)°
(x+15)

Answers

Answer:

318.6

Step-by-step explanation:

(3x-9) + (x+15) = 180

3x (x+15) -9 (x+15)

4x + 45x - 9x + 6 = 180

40x + 6 = 180

40x = 180 - 6

40x = 174

x = 4.34

(3x-9) = 4.34 * 3x-9 = 4.02

(x+15) = 4.34 + 15 = 19.34

180 - (4.02 + 19.34)

= 180 - 23.36

= 156.64

hope this answer helps!!

Write 1.26% as a
precent and fraction

Answers

Answer:

126%

Step-by-step explanation:

Answer: 126/100 126%

Step-by-step explanation:

write the formula of mode for grouped data,and explain each term in it.​

Answers

Answer:

Mode =Li+[f1-f0/2f1-f0-f2] *h

Li=lower limit.

F1= first frequency

F0= upper frequency of first frequency.

F2= second frequency.

H= difference between class intervals.

Hope it is helpful

what is 5x + 3y = 12 written in slope intercept form

Answers

Answer:

y=4-5/3x

Step-by-step explanation:

Rearrange and simplify.

Y= -5/3x + 4 hope this helped you

Joe borrowed $6,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 8 years?

Answers

Answer:

$3360

Step-by-step explanation:

7% of $6000=$420

$420 time 8= $3360

Hope this helped! :)

Answer:

$3,360

Step-by-step explanation:

So first of all you want to start by finding what P, r and t would be.

P = Principal amount ($$)

r = interest rate (%)

t = time (years)

Once I found all of those I put them into the equation (l = Prt) and solved (by putting it into a calculator obviously). That is how I came up with my answer. Check the screenshot provided to see what P, r and t would be and to see all my work! :)

Hope this helps! :)

Have a great day!

sarah has a rope that is 36 feet long she is cutting it into 6 foot pieces to make jump ropes how many jump ropes can sarah make ?

Answers

Answer:

she can make 6 jump ropes


Laurie filled a container full with water. She put 42
ounces of water in it.
What is the capacity of Laurie's container?

Answers

42 ounces... am i wrong i’m so confused what
I think the answer is 42

Is 18x-2y = 26 linear or non linear?

Answers

Answer: it’s a linear function

Step-by-step explanation:

18x-2y=26 as -2y= -18x + 26 by adding 18x to both sides, and then y=9x - 13 by dividing both sides by -2. So, it represents a linear function

Answer:

It's linear

Step-by-step explanation:

18x-2y=26

Because it has two variables x and y

PLEASE HELP JESUS I DONT UNDERSTAND

Answers

Answer:

22 units

Step-by-step explanation:

The formula for the area of a trapezoid is A = [tex]\frac{a+b}{2} h[/tex] where a and b are the bases and h is the height of the trapezoid.

In this case, the numbers that will be replacing a and b will be 4 and 7, making the equation look like this: A = [tex]\frac{4+7}{2}h[/tex] .

Now, you have to determine the height of the trapezoid, which in this case is 4 units. The equation will now look like this: A = [tex]\frac{4+7}{2}4[/tex].

You can solve from here like so:

A = [tex]\frac{11}{2}4[/tex]

A = 5.5(4)

A = 22

sorry that took long :3))

I got the measurements like 4, 7, and the other 4 from rotating the shape to have the longer side on the bottom.

Tickets to the school dance cost $3.00 in advance or $5.00 at the door. There were a total of 184 tickets sold, raising $688. How many tickets were sold at the door?

Answers

Answer: They sold 68 tickets at the door
688-920= -2x= -232
2x=232/2=116
184-116=68

In what ways do you follow a healthy diet?

Answers

By eating healthy and constantly working out

Find the -intercept and -intercept of the line.

3x-7y=-21

x-intercept
y-intercept

Answers

x intercept (- 7,0)

y intercept (0,3)

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