4. Given point A (3, 8) and point B (-5, 1). Find the following:
a.) The coordinates of the midpoint of segment AB. Write your answer in this form: (x, y) (7 points)
b.) Using the distance formula, find the length of segment AB. Round to the nearest hundredth. (7 points)
c.) Find the slope of segment AB. (if your answer is a fraction, use the "/" symbol) (7 points)

Answers

Answer 1

Answer:

a) (-1,4.5)

b)10.63 units

c)7/8

Step-by-step explanation:

a) To find this, we use the midpoint formula

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

(x1,y1) = (3,8)

(x2,y2) = (-5,1)

(x,y) = (3 -5)/2 , (8 + 1)/2 = (-1, 4.5)

b) To calculate the distance D between two points, we use the formula;

D = √(x2-x1)^2 + (y2-y1)^2

D = √(-5-3)^2 + (1-8)^2

D = √(-8)^2 + (-7)^2

D = √64 + 49

D = √113

D = 10.63 units

C) We use the slope formula here

m = (y2-y1)/(x2-x1)

m = (1-8)/(-5-3) = -7/-8 = 7/8


Related Questions

Is it possible to boost your math average of 6-7 percent in a week of homework and participating.

Answers

yes just do everything and study and u'll do fine :)

depending on where you go, just last night alone i brought grades up to 70%

Which shows all the factor pairs of 27?

Answers

Answer:

The factors of 27 are 1, 3, 9, and 27 (๑・ω-)~♥”

Answer:

The factor of 27 are: 1, 27, 3, 9

Step-by-step explanation:

I have a question what is 3/4 × 4/5?

Answers

Answer:

3/5

Step-by-step explanation:

Because if you take 3/4 x 4/5 you can cross simplify the 4's in the equation and they cancel eachother out, so then u are left off with 3/1 x 1/5 and then you get 3/5

dèez nuts in your mouth lol​

Answers

Answer:

free

Step-by-step explanation:

points .-.

true true true true :D

Evaluate 3(x + y) for x = 2 and y = 7 show work.

Answers

Answer:

[see below]

Step-by-step explanation:

[tex]3(x+y)\\\\3(2+7)\\\\3(9)\\\\\boxed{27}[/tex]

Hope this helps!

Answer:

27

Step-by-step explanation:

plug in what = x and y in the parenthisis

so that would be 3(2+7)

you do what is in the parentheisis first 2+7= 9

then you multiply  3*9=  27

Which of the following are maximum and minimum points of the function y= 2 cos x - 1?
A) Maximums: (0, 3), (2π, 3); Minimum: (π, -3)
B) Maximums: (0, 1), (2π, 1); Minimum: (π, -3)
C) Maximums: (0,3), (2π, 3); Minimum: (π, -1)
D) Maximums: (0, 1) (π/2, 1); Minimum: (3^π/2, -3)

Answers

Answer:

B) Maximums: (0, 1), (2π, 1);

Minimum: (π, -3)

HELP DUE IN 15 MINS!
Write the equation of a circle that has a center of (-3, 4) and goes through the point (2, 1).

Answers

Answer:

Step-by-step explanation:

You can find the left side of the equation for a circle easily enough. It's r^2 that's the problem. It is on the right.

Left Side

(x + 3)^2 + (y - 4)^2 = r^2

Right Side.

x1 = - 3

x2 = 2

y1 = 4

y2 = 1

Use the distance formula to get r^2

r^2 = (x2 - x1)^2 + (y2 - y1)^2

r^2 = (2 - - 3)^2 + (1 - 4)^2

r^2 = 5^2 + (-3)^2

r^2 = 25 + 9

r^2 = 34

Answer

(x + 3)^2 + (y - 4)^2 = 34

Angle A terminates in the fourth quadrant with cosA= 4/5. The exact value of A is?

Answers

Answer:

324.13°

Step-by-step explanation:

Applying,

cosA = 4/5

To find the value of A, we find the inverse of the cosine of both side,

(cosA)cos⁻¹ = cos⁻¹(4/5)

A = cos⁻¹(0.8)

A = 36.87° (First quadrant)

The above value of A is its value in the first quadrant

To find the value of A in the fourth quadrant, we use the expression

∅₄ = 360-∅₁............... Equation 1

Where ∅₄= value of A in the fourth quadrant, ∅₁ = value of A in the first quadrant.

Therefore,

∅₄ = 360-36.87

∅₄ = 324.13°

Hence the value of A in the fourth quadrant is 324.13°

Simplify each expression

Answers

hope this helps you

Answer:

a) 2x + 6y + 7x

9x + 6y

b) 3a + 8b + 5a

8a + 8b

c) 6u + 3v - 2u

4u + 3v

d) 9p + 8q - p

8p + 8q

e) 2m + 5n + 4m + 3n

6m + 5n + 3n

6m + 8n

f) 6u + 9v + u + 3v

12v + 6u + u

12v + 7u

g) 8b + 7c + 3b - 2c

8b + 3b + 5c

11b + 5c

h) a + 2b + a - b

2a + 2b - b

2a + b

i) 5a + 2b - 5a + 6b

8b + 5a - 5a

8a

h) 9p + 3q - 2p - 3q

7p + 3q - 3q

7p

The volume of a gas held at constant temperature varies inversely with the pressure of the gas. If the volume of the gas is 1200 cubic centimeters then the pressure is 200 millimeters of mercury, what is the volume when the pressure is 800 ml?

Answers

Answer:

300

Step-by-step explanation:

The volume of the gas varies inversely as the pressure

V= k/p

K= VP

= 1200×200

= 240,000

Therefore the volume when the pressure is 800

K= VP

240000= V×800

V= 240000/800

= 300

Hence the volume is 300 cubic centimeters

How can the manager use the data in the dot plot to improve the airline?

Answers

Answer:

The dot plot shows that most planes fly below the optimal cruising speed. This means that the airline isn’t being as efficient as it can be. So, the manager needs to have a discussion with the pilots to determine why they aren’t reaching the optimal cruising speed or check the planes to make sure everything is running at full capacity.

Step-by-step explanation:

the answer that is given on edmentum

90%in the SIMPLEST form​

Answers

Answer:

[tex]90\% = \frac{90}{100} \\ = \frac{9}{10} = 0.9[/tex]

Answer:

The simplest form of

90/100

is

9/10

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 90 and 100 is 10

Divide both the numerator and denominator by the GCD

90 ÷ 10

100 ÷ 10

Reduced fraction:

9

10

Therefore, 90/100 simplified to lowest terms is 9/10.

hey! i’ll give brainliest please help

Answers

Answer:

It's the second one, two independent clauses connected by a conjunction

HELP PLEASE THESE ARE DUE TODAY

Answers

I would say that the median is the best measure for the center as there are two major outliers (16 and 18)

40 POINTS IF YOU ANSWER CORRECTLY!
PLEASE HELP

Solve for Y and give me the three major trig ratios for theta

SHOW YOUR WORK
Thank you!

Answers

Answer:

Step-by-step explanation:

y is 15.49

Formula is b = √c^2-a^2

You could use sine [ opposite/hypotenuse ],

Cosine [adjacent/hypotenuse]

or Tangent [ opposite/adjacent ]

to find theta

Theta is 75.522


✰ ☆
(Only if you are right obviously)

Which beliefs do most Christians hold

A. there are many different gods
B. non-jews cannot become Christians
C. Jesus was the son of God
D. Christians should not perform rituals​

Answers

I’m pretty sure it’s C correct me if I’m wrong.

Question 54
Jonathan wants to fence off a rectangular area for his dog. He has 24 metres of fencin
he wants the largest possible area what should the dimensions of the fenced off area be​

Answers

Answer:

6 + 6 + 6 + 6= 24

Step-by-step explanation:

ad four sixes

GOTTA GRIND ON THIS SITE TO GET YOUR QUESTIONS ANSWERED!

Answers

Answer:

-8 or -5

Step-by-step explanation:

The ratio of the number of laps Tonya swam last week to the number of laps Randy swam last week is 3:10. If Randy swam 84 MORE laps last week, how many did Tonya swim?

Answers

Answer:

The number of laps Tonya swam last week were:

36 laps.

Step-by-step explanation:

To understand the ratio, you must know that 3:10 means that each time Tonya swam 3 laps, Randy swam 10 laps, by this reason, to identify the total number of laps you can divide the total difference given in the exercise (84 laps) into the difference indicated by the ratio (10 - 3 = 7 laps):

84 / 7 = 12

This number obtained is the number of times the ratio had to be met so that the difference in laps swam was 84. Now, you must multiply the obtained value (12) by the number of laps from Tonya given in the ratio (3):

Tonya's total number of laps = 12 * 3Tonya's total number of laps = 36 laps

As you can see, with the calculates, we obtained  36 laps in total. You could also do the iterations 12 times, subtracting the number of turns given by Tonya from the number of turns made by Randy and you would get the same result:

10 - 3 = 720 - 6 = 1430 - 9 = 2140 - 12 = 2850 - 15 = 3560 - 18 = 4270 - 21 = 4980 - 24 = 5690 - 27 = 63100 - 30 = 70110 - 33 = 77120 - 36 = 84

What is 25% of 40? OА. 10 O B. 15 O C. 20 OD. 25​

Answers

Answer:

10 Sorry if wrong!

Step-by-step explanation:

40×0.25=10

Answer:

25/100 x 40 = 10

Step-by-step explanation:

The keyword 'of' means multiplication

Consider a percent out of 100, a way to remember is that the root word 'cent' means 100.

A veterinarian asked each of her 18 patrons if they have a dog. She also asked each patron if they have a
cat. The Venn diagram below shows the data she collected.
Complete the following two-way frequency table.
Have a cat
Do not have a cat
Have a dog
Do not have a dog
Have a dog
Have a cat
5
7
6
0

Answers

Answer:

                          Have a cat         Do not have cat

Have a dog                 7                            5

Do not have a dog      6                            0

Step-by-step explanation:

                                           Have a cat   Do not have a cat

Have a dog                              7                 5

Do not have a dog                     6               0

How to fill the two-way frequency table?

The interesection of the two circles represents the number of patrons that have both dogs and cats. The number in the circle that represents the number of people that have dogs only is 5 and the number in the circle that represents the number of people that have cats only is 6.

To learn more about sets, please check: https://brainly.com/question/13192210

plz solve below one question.is will mark the one brain list answer.​

Answers

Answer:

tan023

Step-by-step explanation:

mark me brainliest

Given that n(A) = 12, n(B) = 7
and n(AUB) = 10
Find n(AnB)
Pls show working

Answers

Answer:

n(A) + n(B) - n(AnB) = n(AUB)  

12 + 7 - n(AnB) = 10

19 - n(AnB) = 10

19 - 10 = n(AnB)

n(AnB) = 9

Step-by-step explanation:

Step-by-step explanation:

n(A)=12

n(B)=7

n(AUB)=10

n(AnB)=?

let,n(AnB) be x

We know that,

or, n(AUB) = n(A)+n(B)-n(AUB)

or, 10 =12+7+x

or, 10 =19+x

or, 10-19=x

or,9=x

so, the value of x is 9

then (AnB)=9

helpppppppppppppp make your answer clear please ( no links)

Answers

The answer is: 312 (Squared)

Step-by-step explanation:

(2×6 is 12. 12×2 is 24. Top and Bottom)

(12×6 is 72. 72×4 is 288. Both sides+Front and back)

(Adding those up would be: 288+24 = 312)

The circumference of a circle is 6.28 meters. What is the circle's radius?
C = 6.28 m

Answers

The circumference of a circle with radius r is c = 2*pi*r. Dividing both sides by 2*pi gives r = c/(2*pi). For c=6.28 the radius is r= 6.28/(2*pi) which is approximately 1 since pi is approximately 3.14

Can y’all help me solve for K ?!

Answers

Answer:

Step-by-step explanation:

K+4 = 11;

k = 7

Answer:

B is true

Step-by-step explanation:

so use k+4=11 to solve that k+7

If you don't do a foreign language class in middle school, in high school will one be given to you? Is it a necessity?

Answers

Well, it depend on where you are. Where do you attend school? In the US, the most you could do is learn at least one language if it’s mandatory. It will denfinity be given to you but I think some schools was make it an requirement and others may not.

Solve the inequality 4(x – 3) – 7 < 2(x – 3).

Answers

Answer:

{x}\lt\frac{{13}}{{2}}

Step-by-step explanation:

Answer:

x < 13/2

Step-by-step explanation:

4(x-3) -7: 4x - 19

4x - 19 < 2x-6

4x - 19 + 19 < 2x - 6 + 19

4x < 2x + 13

4x - 2x < 2x + 13 - 2x

2x < 13

2x/2 < 13/2

x < 13/2

When 3 is subtracted from one third of a number n, the result is less than 6. Which inequality and solution represent this situation?

Answers

Answer:

1/3n-3÷6

Step-by-step explanation:

3 is subtraced form 1/3

Answer:

n < 27

Step-by-step explanation:

1/3n - 3

1/3n - 3 < 6

Add 3 to each side.

1/3n - 3 + 3 < 6 + 3

Combine like terms.

1/3n < 9

Divide each side by 1/3.

1/3n ÷ 1/3 < 9 ÷ 1/3

Combine like terms.

n < 27

a square has one side that is 8 inches long. what is the area of the square

Answers

Answer:

64 inches sq

hope this helps

have a good day :)

Step-by-step explanation:

Other Questions
Consider the following game. Harry has four quarters. He can offer Sally from one to four of them. I If using the method of completing the square to solve the quadratic equation x^2+5x+10=0x 2 +5x+10=0, which number would have to be added to "complete the square"? When Bobby is hungry, tired, and thirsty, he respoves this by getting food, water, and sleep. These are examples of: 8.perspective is created in a artwork when objects in 4 pointsthe background appear lighter in color and unclear or blurry. * A backgroundB atmosphericC distance A spinner has 8 equal-sized sections. Six of the sections are green. What is the probability that the spinner will land on green? _________ out of 8 or ________% Duty and Responsibility towards the community ESSAY In 1520, write the number positioned at each point. Find the sum of the first four terms of the geometric series 100 + 50 + 25 + ... "Choking occurs when the airway becomes either partially or completely blocked by a foreign object for example, a piece food, a small toy or body fluids such as vomit or blood T or F If two expressions have the same factor or base. What happens to the exponents when the expression are dividing Write code to take a String input from the user, then print the first and last letters of the string on one line. Sample run: Enter a string: surcharge se Hint - we saw in the lesson how to get the first letter of a string using the substring method. Think how you could use the .length() String method to find the index of the last character, and how you could use this index in the substring method to get the last character. 1. Shifting from mechanical picking to hand picking results in which of the following improvements?a. reduced labor costb. increased packing efficiencyc. reduced senescenced. increased speed Durable goods are: a. consumers' goods b. raw materials combined to produce consumer goods c. those that must be replaced after each use d. those that may be stored and repaired e. none of the above Why was the case Brown v. Board of Education important in the struggle for civil rights? care sunt solurile si populatia din clima subecuatoriala backspace backspace backspace Sarah stood staring at the whiteboard for an eternity. The class was over, and everyone had left for home. But, Sarah had lost the concept of time. She kept going back to the moment when she had overheard Betsy, her best friend, tell Raj that she had a crush on him. "Betsy! Oh, Betsy! Did you forget how I felt about him?" Sarah gave words to her thoughts and buried her head in her hands. She was a wilted flower losing all hopes of spring. She hated the fact that it was a beautiful day. Buds were continuing their blooming, and birds were happily chirping on the tree outside the classroom. "Not fair!" she uttered the choked up words and felt like hiding from the world forever. That was when she felt a gentle tap on her back. "There you are! I kept looking for you everywhere, girl," Betsy said. "Why do you look like a broken piece of a violin?" "I heard what you said to him," Sarah responded without facing Betsy. She felt bees stinging at her eyes and volcanoes erupting from her heart. Sarah had never felt betrayal so strongly. "Then you should be dancing," Betsy said, confused. "Raj was asking me if you had asked anyone out to prom yet because he has like the biggest crush in the universe on you! And, I told him you were waiting for him to ask. Was I not supposed to say that?"10From the way it is used in the story, choose the phrase that is most similar to "broken piece of a violin."A. physically bruisedB. appearing destroyedC. repeating one noteD. searching for a friend Which provinces border Ontario? what is the algebraic expression of the difference of 4 times a and b? 2) A test consists of eight true/false questions. A student who forgot to study guesses randomly on every question. What is the probability that the student answers at most six questions correctly?