Given the 3 points A(0;1) , B(5;0) , and C(4;2)

a) Find the coordinates of M the midpoint of [AB]

b) Find the coordinates of G the center of gravity of the triangle ABC .​

Answers

Answer 1

Answer:

The answer is below

Step-by-step explanation:

a) If O(x, y) is the midpoint between two points X(x₁, y₁) and Y(x₂, y₂)m then the coordinates of O is:

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

Since M(x, y) is the midpoint of AB, then the coordinates of M is:

x = (0 + 5) / 2 = 2.5;     y = (1 + 0)/2 = 0.5

M = (2.5, 0.5)

b) The center of gravity is gotten by finding the average of the x coordinates and the y coordinates of the vertices of the triangle.

Let O(x, y) be the center of gravity of triangle ABC, hence;

x = (0 + 5 + 4) / 3 = 3

y = (1 + 0 + 2) / 3 = 1

O = (3, 1)


Related Questions

In ΔDEF, the measure of ∠F=90°, the measure of ∠D=73°, and FD = 27 feet. Find the length of EF to the nearest tenth of afoot.

Answers

Answer: 83.3

Explanation: tan 73= x/ 27

27 tan 73=x

x=88.313 = 88.3 feet

Work out the mean for the data set below: 58002, 58003, 58002, 58003, 58003, 58005, 58003

Answers

Step-by-step explanation:

Mean x¯¯¯ 58003

Median x˜ 58003

Mode 58003

Range 3

Minimum 58002

Maximum 58005

Count n 7

Sum 406021

Quartiles Quartiles:

Q1 --> 58002

Q2 --> 58003

Q3 --> 58003

Interquartile

Range IQR 1

Outliers 58005

copy machine goes brr

If A=D and C=F, which additional statement does NOT alloy you to conclude that ABC=DEF

Answers

Answer:

A

Step-by-step explanation:

i think its a because its saying which one does not allow you to conclude that both triangles are congruent but the other ones are talking the sides and a is the only one thats talking about the angles. so i dont really know if its right but thats just an educated guess.

Domain and range for this f(x)x2-4+5

Answers

domain all real number and range is 1

5. Amy deposited $7,000 in a bank account earning 3.5% interest, compounded

annually. Write an equation to represent how much money Amy will have after t

years.

Answers

Answer:

Step-by-step explanation:

Given the following data;

Principal = $7,000

Interest = 3.5% = 3.5/100 = 0.035

To find the future value, we would use the compound interest formula;

[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

n is the number of times the interest is compounded in a year.

t is the number of years for the compound interest.

Substituting into the equation, we have;

[tex] A = 7000(1 + \frac{0.035}{n})^{nt}[/tex]

how many triangles can you make with angles that measure 47, 60, and 73 degrees?

Answers

Answer:

1triangle

Step-by-step explanation:

47+60+73=180degree

so the 1triangle have 180 degree

help plssss <333 will mark brainliest if correct

Answers

Answer:

-3

Step-by-step explanation:

it might not be correct, the site I use for math glitches sometimes

Answer:

x=1

Step-by-step explanation:

its right :)


√5 is between _________ and __________.

-√30 is between _________ and _________.

-√15 is between __________ and _________.

√18 is between __________ and __________.

√72 is between __________ and __________.

-√125 is between _________ and __________.​

Answers

Answer:

2 and 3, -5 and -6, -3 and -4

Step-by-step explanation:

list all of your perfect squares

[tex]\sqrt{1}, \sqrt{4} ,\sqrt{9} , \sqrt{16} , ...\\[/tex]

So [tex]\sqrt{5}[/tex] is between [tex]\sqrt{4} and \sqrt{9}[/tex] so it is between 2 and 3

If that is a negative [tex]\sqrt{30}[/tex] then it is between square root of 25 and 36, which would be -5 and -6

-[tex]\sqrt{15}[/tex] is between  [tex]\sqrt{9} and \sqrt{16}[/tex] so -3 and -4

Please Help ill make brainliest 15 points

A:149
B:153
C:225
D:297

Answers

Answer: 225 square feet

Step-by-step explanation:

We find the area of the 4 triangle and the area of the rectangle and thereafter we add everything together.

Area of triangle 1 = 1/2 base × height

= 1/2 × 12 × 8

=96/2

=48

Area of triangle 2 = area of triangle 1= 48( because the opposite triangle are congruent so they have equal base and height)

Area of triangle 3 = 1/2×base×height

= 1/2 × 6 ×9.5

= 57/2

=28.5

Area of triangle 4=Area of triangle 3 = 57 (the opposite triangle are congruent and so they have the same base and height hence the same area)

Area of the rectangle = length×breadth

=12 × 6 =72

Total surface area = addition of all the areas of the triangles and the rectangle

Total surface area= 48+48+57+57+72 = 225

Therefore, the total surface area is 225 square feet

55 x 32 / 32 PLEASE HELPP

Answers

Answer:

55

Step-by-step explanation:

Answer : 55

Step by step explanation use PEMDAS

55/1 = 55

Jordan ran 15LaTeX: \frac{3}{8}3 8 miles, while Ethan ran 12 LaTeX: \frac{1}{6}1 6 miles. How many miles did the boys run altogether?

Answers

Answer:

27 13/24 miles

Step-by-step explanation:

Given that:

Jordan = 15 3/8 miles

Ethan = 12 1/6 miles

Miles ran altogether :

15 3/8 + 12 1/6

123/8 + 73/6

(369 + 292) / 24

= 661 / 24

= 27 13/24

4kg of cheese costs £10.80 how much would 3kg cost

Answers

Answer:

£8.10

Step-by-step explanation:

Divide £10.80 by 4 to find the cost of 1 Kg, then multiply this by 3

£10.80 ÷ 4 = £2.70 ← cost of 1 Kg , then

cost of 3 Kg = 3 × £2.70 = £8.10

Answer:

it may helps......

Step-by-step explanation:

we can solve it by unitary method....So,

Cheese (in Kg). Cost (in Rs)

4kg 10.80

3kg X

Now, 4×x = 3×10.80

X=3×10.80/4 (by transposing)

X=2.7×3

X= 8.1 Answer

Mark it as brainlist

Please help
Find the area of a rhombus

Answers

Answer:30in^2

Step-by-step explanation:

Answer:

formila

Step-by-step explanation:

d2= lenght of diagonal 2, b= lenght of any side. h= height of rhombus.

PLS HELP ITS DUE SOON I WASTED ALL MY POINTS FOR THIS I WILL MARK BRAINLIEST

Answers

Answer:

1)        270:206

2)      120:60

3)      74:24

4)      26:24

Step-by-step explanation:

if this is right can i get brainliest?

A researcher has conducted a survey using a simple random sample of 50 licensed drivers to create a confidence interval to estimate the proportion of licensed drivers favoring the construction of a new stoplight. Assume that the sample proportion does not change. The researcher now decides to survey a random sample of 200 people instead of 50 licensed drivers. Which of the following statements best describes how the confidence interval is affected by this change?

The width of the new interval is about the same width as the original interval.
The width of the new interval is about twice the width of the original interval.
The width of the new interval is about one half the width of the original interval.
The width of the new interval is about one fourth the width of the original interval.
The width of the new interval is about four times the width of the original interval.

Answers

Answer: the answer is C.

Step-by-step explanation:

Answer:

Might be C?

Step-by-step explanation:

I got D. wrong (The width of the new interval is about one fourth the width of the original interval.)

Data that's displayed randomly on a scatter plot graph illustrates (please help asap!)

positive correlation.

negative correlation.

none of these.

no correlation.

Answers

D. No Correlation, since it is randomly being placed around a graph this is no negative or positive, which results it into being no correlation

c ÷ 3/4 = 4. whats c?

Answers

Answer:

3

Step-by-step explanation:

when a division crosse's an equal sin it becomes a multiplication

SALE
65% OFF
original price!
Kinsley wants to buy a beach umbrella. The original price is $60. What is the sale price?show work!

Answers

Answer:

$21

Step-by-step explanation

65/100 = .65

60 * .65 = $39

60 - 39 = $21

A student would like to estimate the mean length of words in a book report he just finished writing. He selects a
random sample of 20 words and determines the mean length to be 4 characters. Later, he discovers how to use a
built-in function of his word-processing program that reveals that the mean length of all words in his book report is
4.3 characters. Which of the following statements is true?
The population is all words in the book report and the sample is the random sample of 20 words.
The population is the random sample of 20 words and the sample is all words in the book report
The population is the mean length of all words in the book report and the sample is the mean length of the 20
randomly selected words.
The population is the mean length of the 20 randomly selected words and the sample is the mean length of all
words in the book report.

Answers

Answer:

the answer is a. The population is all words in the book report and the sample is the random sample of 20 words.

Step-by-step explanation:

got it right on edge

Answer: a. The population is all words in the book report and the sample is the random sample of 20 words.

Step-by-step explanation:

Mr. Monrean had three sheets of stickers. He gave 20 stickers from each sheet to his students and has 12 total stickers left. Write and solve an equation to find the total number of stickers s there were originally on each sheet.

Answers

Answer:

the total number of stickers is 24

Step-by-step explanation:

The computation of the total number of stickers is shown below

Let us assume the total no of stickers be x

Now as per the question, the equation is

3(x - 20) = 12

3x - 60 = 12

3x = 12 + 60

3x = 72

x = 24

Hence, the total number of stickers is 24

If a factor of a polynomial is x-5, what is the zero?​

Answers

Answer:

x = 5

Step-by-step explanation:

Because the factor of the polynomial is x - 5, we can infer that the zero would be the solution of this equation: x - 5 = 0

Therefore, the zero is x = 5.

There are three small rounds of cheddar cheese in Grace’s refrigerator. She wants to bring a small wedge of cheese in her lunch every day for the next 12 days of school. If she wants to eat the same amount of cheese every day, how much cheese should she bring for lunch each day?

Solution:
Number Model:

Answers

Answer:

The one-fourth of one round of cheddar cheese

Step-by-step explanation:

Because if we cut every round in 4 equal pieces, 4x3=12, we will have 12 equal pieces of cheddar cheese.

HELP ASAP WILL MARK BRAINLIST
Find the surface area

Answers

34 is the answer I think hope this helps

Answer:

24

Step-by-step explanation:

First we need to find the area on one square which is 2*2 which is 4. So now we have 5 more cubes like this and we have to add all their areas to find the surface area so we make a multiplicaction sentence :

4*6=24

The answer to a statistical question includes variability in data. Choose ALL examples of statistical questions es )) A) What are the ages of the kids at the local daycare? B) What was the temperature at the park at noon today? How many days are in the month of February this year? D) What are the ages of the dogs that live on this street? E) What is the color of the house at the end of the street?​

Answers

Answer:

A and D are statistical questions because they will have more than one answer

Step-by-step explanation:

B is wrong bc there is only one specific temperature at noon

C is wrong because you just answer how many days there are

E is wrong because its only asking for a color of one house and not all the houses if it did ask for the colors of all the houses on the block, it would then be a statistical question.

Considering that there would be multiple solutions, questions A and D are statistical ones.

What is statistics?

The study of gathering, analyzing, interpreting, presenting, and organizing data in a certain way is the focus of the mathematic branch known as statistics.

The act of gathering data, classifying it, presenting it in a way that makes it understandable, and then conducting additional analyses of the data is known as statistics.

As per the information given in the question,

Let check the options one by one,

Because there is just one particular temperature at noon, B is incorrect.

C is incorrect because you just responded with the number of days.

E is incorrect as it only requests the color of one house, not all the houses. If it did, it would be a scientific question asking for the hues of all the homes on the block.

To know more about Statistics:

https://brainly.com/question/29093686

#SPJ2

What are the value/s of x if: *
36x2 – 25 = 0 ?​

Answers

I think its x=-5/6 or x=5/6

In the equation y=2x+3,y represents the total number of preseason and regular season games that your softball team played this summer. The variable x represents the number of weeks in the regular season. Which statement is true?

Answers

Answer:

C. Your team plays 3 preseason games.

Step-by-step explanation:

In the equation y = 2x + 3, y represents the total number of preseason and regular season games that your softball team played this summer.  The variable x represents the number of weeks in the regular season.  Which statement is true?  

 

A. The regular season lasts 2 weeks.  

B. The preseason lasts 2 weeks.  

C. Your team plays 3 preseason games.  

D. Your team plays 3 regular season games each week.

Solution:

The equation for a linear function is given as:

y = mx + b;

where m is the rate of change and b is the y intercept (that is initial value of y at x = 0), y and x are variables.

Given that y = 2x + 3;

The slope (m) = 2 and the y intercept (b) = 3

This slope means 2 games are played every week during the regular season games. The y intercept means that at before the regular games have start, 3 games have been played. Therefore, the team plays 3 preseason games.

Sam bought an $85.00 jacket for 40% off of the regular price. How much did ge pay for the jacket?

Answers

Answer:

i think he payed 34 since 40 percent of 85 is 34.

Step-by-step explanation:

To find the discount price, multiply the original price ($85) by the discount ( 100-40=60): 85 x 0.6= $51 is what he paid.

I NEED HELP
the witch has more sugar per fluid ounce
A- 12sugar and 8amount
B-10 sugar and 5 Amount

Answers

B has more because 10/5 is 2 and 8/12 is less

To mail a letter to Vienna, Austria the post office charges a flat rate of $9.75 and an additional $0.50 for every ounce the letter weighs. The cost of mailing a letter is determined by the equation y=0.50x+9.75, where y is the cost of the postage and x is the weight of the letter in ounces.

Answers

Missing details

Which type of function model would be appropriate for this situation?

Answer:

Linear function

Step-by-step explanation:

Given

[tex]y = 0.50x +9.75[/tex]

Required

The function model

A function of the form:

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

is referred to as a linear function where

[tex]m = slope/rate[/tex]

[tex]b=y\ intercept[/tex]

By comparison:

[tex]m = 0.50\ b = 9.75[/tex]

So, it is a linear function (linear model)

Helppppp Jason was 1.75m tall last year. He grown 11 cm taller this year. How tall is Jason now?

Answers

Answer:

1.86 m

Step-by-step explanation:

11 cm = 0.11 m

1.75 + 0.11 = 1.86

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