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

Pls help i am stuck on this

Answers

Answer:

1,4.560

Step-by-step explanation:

I am not so sure.

Which has the higher kinetic
energy: a 195 g bird lying at 17 m/s
or a 2.7 kg cai walking at 2 m/s2
BRAINLIST ANSWER PLEASE HELP

Answers

The bird because it’s going faster also I used a kinetic energy calculator online and the birds came out bigger

Mia has a bag of jellybeans. She has 1 cherry, 1 lime, 8 grape, and 2 lemon jellybeans. If she pulls out 1 jellybean without looking, what is the probability that she pulls out a flavor other than grape?

Answers

Answer:

7.692

Step-by-step explanation:

have a nice day :D

Answer: 1/3 or .33

Step-by-step explanation:

If we have 12 jelly beans and there is 8 grape jelly beans and 4 other jelly beans that arent 8 you add the numbers and get a denominator of 12 then you add the number of jellybeans you are focusing on which equals 4/12 then we simplify 4/12 into 2/6 then 1/3 and then we have 1/3! Hope this helps have a great day!

The height of a cone is 6 centimeters and the volume is 150 pi. Find the radius of the cone.

Answers

Answer:

4.89

Step-by-step explanation:

Equation for radius of a cone is

R= square root of 3 * v/ pi *h

R= Square root of 3 * 150/pi *6

R= 4.886025119

= 4.89

I hope its right. Hope it helped.

Answer:

r = 4.89

I don't know how to right my explanation but that's the answer.

16) Italia and Hugo sold a total of 137 glitter tattoos at the football game. Hugo sold
18 fewer than twice as many as Italia. How many tattoos did Hugo sell?

Answers

Answer:

i think ¹27 yea i ththatthats the answer hope it is

A straight fence is constructed from posts 6 inches wide and separated by lengths of chain 5 feet long. A certain fence begins and ends with a post. If there are 7 posts, what is the total length of the fence?

Answers

Answer: 72 ft

Step-by-step explanation:

Given

The width of a post is [tex]w=6\ in.[/tex]

Posts are separated by [tex]5\ ft[/tex] chain

for 2 posts, length is [tex]6+5+6=17\ ft[/tex]

for 3 posts, length is [tex]6+5+6+5+6=28\ ft[/tex]

for 4 posts, it is [tex]28+5+6=39[/tex]

i.e. 11 ft is adding on the addition of another post

for 7 posts it is [tex]17+11\times 5=72\ ft[/tex]

Thus, the total length of the fence is [tex]72\ ft[/tex]

One seventh of a number is 12.
What is the number?

Answers

Answer:

84

Step-by-step explanation:

12 x 7 = 84

Answer:

84

Step-by-step explanation:

12÷ 1/7=84

(3+7i)+(-5+2)-(-7+6i)

Answers

don’t press the file it’s fake

Pam ordered a circular hot tub cover with a diameter of 80 inches. Find the area of the hot tub cover.​

Answers

Answer:

5026.55in²

Step-by-step explanation:

Area = πr^2

radius (r) is half of the diameter, hence the radius is 40 inches

So after plugging that in, the equation should look like

Area = π(40)^2

A = 1600π ≈ 5026.55

The units for this is in² so just add that in the end

6m - 3k when k=2 and m=7

Answers

Answer:

36

Step-by-step explanation:

put in the values of m and m first then solve:

6•7= 42

3•2= 6

42-6= 36

hope this helps have a great day luv <3

Трикутна піраміда побудована з 10 однакових кульок так,
Як показано на малюнку 1. На кожній кульці написана
одна з букв A, B, C, D чи Е і кожна буква написана на двох
кульках. На малюнку 2 зображено вигляд цієї піраміди з
трьох різних боків. Яка буква на кульці зі знаком питання?

Answers

Answer:

Sorry I don't know this language

logarithm
[tex] log(53.75) [/tex]

Answers

Answer:

log(53.75) ≈ 1.73

Step-by-step explanation:

Not sure if this was a question but I just put it into my calculator.

OS HELP math math Algebra

Answers

The answer to your question is P=1590

Answer:

P=1590

Step-by-step explanation:

Help me please is this right

Answers

The answer is 7.5 eeeee

Convert 0,0909 to a ratio of two integers

Answers

Answer:

not sure

Step-by-step explanation:

PLS HELP! TELL ME HOW TO DO IT!

Answers

Use the formula A=pi r^2

Which expression matches this algebraic expression after using Distributive
property a(b+cq - bd).
abcq - abd
ab+ acq - abd
ab + acq -bd
ab + cq -bd

Answers

I agree with this statement.

Jen measured the growth of a sunflower. In week one, it grew 2 1/2 inches. In week two, it grew 2 3/4 Inches. In week three, it grew 3 1/4 Inches. How much did the sunflower grow over all the three weeks?

Answers

Answer:

8 1/2 inches

Step-by-step explanation:

we add the fractions of growth over the 3 weeks

2 1/2 + 23/4 + 3 1/4 = 8 1/2

Azmyne decided to spend 6 1/2 hours studying over the weekend. She spent 1 1/4 hours studying on Friday evening and 2 2/3 hours on Saturday. How much longer does she need to spend studying on Sunday in order to reach her goal?

Answers

Answer: [tex]2\ \dfrac{7}{12}\ \text{hours}[/tex]

Step-by-step explanation:

Given

Azmyne decided to study a total of [tex]6\ \frac{1}{2}\ hours[/tex]

She spent [tex]1\ \frac{1}{4}\ hours[/tex] on Friday and  [tex]2\ \frac{2}{3}\ hours[/tex] on Saturday

Hours spent on Friday

[tex]\Rightarrow 1\ \frac{1}{4}=\frac{5}{4}\ hours[/tex]

Hours spent on Saturday

[tex]\Rightarrow 2\ \frac{2}{3}=\frac{8}{3}\ hours[/tex]

She must study for

[tex]\Rightarrow \dfrac{13}{2}-\dfrac{5}{4}-\dfrac{8}{3}\\\\\Rightarrow \dfrac{13\times6-5\times3-8\times4}{12}=\dfrac{78-15-32}{12}\\\\\Rightarrow \dfrac{31}{12}=2\ \frac{7}{12}\ \text{hours}[/tex]

help
Santino pays $52.65 for twenty-seven 15-count boxes of granola bars. How much does 1 box of
granola bars cost?

Answers

Answer:

$1.95

Explanation:

Divide $52.65 by 27 to find the cost of each box.

Someone please help me

Answers

Answer:

1 read any graph left to right if up positive if down negative

Answer:  1

Step-by-step explanation:

we choice two points to find the slopes.

(0,-5) and (2,-3)

[tex]slope=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\\=\frac{-3-(-5)}{2-0}\\=\frac{2}{2}\\ \\=1[/tex]

A man walks into a bank with $1000 all in $1 bills. He asks the
bank teller to put specific amounts in 10 individual bags, so that
whenever he decides to come into the bank to request any amount
up to his $1000, the teller can just hand him bags without splitting
them up. How much money is in each bag?

Answers

Answer:

$100

Step-by-step explanation:

100 bills in each bag

$100 in 10 bags

HELP PLS!! What is the diameter of a circle whose circumference is 16pi centimeters?

32 cm
16 cm
4 cm
8 cm

Answers

It should be 8 cm because 8 is half of 16 and diameter should be half of radius

answer: 8

Explanation:

Use the formula for the area of a circle:

A = π r 2

Here, the area is  16 π

16 π = π r 2  

Divide both sides by  

16 = r 2

Take the square root of both sides:

√ 16 = √ r 2

4 = r

Since the radius of the circle is  

4

, the diameter is twice that:

d = 4 × 2 = 8

It takes 313131 employees and \$7500$7500dollar sign, 7500 to build a car, and it takes 191919 employees and \$4300$4300dollar sign, 4300 to build a motorcycle. Genghis Motors wants to spend more than \$84000$84000dollar sign, 84000 to build cars and motorbikes using at most 706706706 employees.

Answers

Complete question :

It takes 313131 employees and \$7500$7500dollar sign, 7500 to build a car, and it takes 191919 employees and \$4300$4300dollar sign, 4300 to build a motorcycle. Genghis Motors wants to spend more than \$84000$84000dollar sign, 84000 to build cars and motorbikes using at most 706706706 employees. Let CCC denote the number of cars they build and MMM the number of motorbikes they build. Write an inequality that represents the condition based on the number of employees. Write an inequality that represents the condition based on the number of dollars.

Answer:

31C + 19M ≤ 706

7500C + 4300M > 84000

Step-by-step explanation:

C = number of cars built

M = number of motorcycles built

Cost of building a car :

Cost = 31 + $7500

Cost of building a motorcycle,:

Cost = 19 + 4300

To build, C cars :

Number of employees = 31C

7500 * C = 7500C

To build, M motorcycles :

Number of employees = 19M

4300 * M = 4300M

Genghis budget :

Amount > 84000

Number of employees ≤ 706

Hence, the constraints

31C + 19M ≤ 706

7500C + 4300M > 84000

Alisha received a fruit basket as a thank you gift and it had 18 tangerines, 4 pears, 2 plums, 6 bananas, and 3 peaches. Write the ratio of tangerines to pears and bananas in simplest form.

Answers

Answer:

9:14

Step-by-step explanation:

18:(18+4+6)

18:28

(18÷2);(28÷2)

9:14

Name an event that has a probability of 2/7

Answers

Answer:

2/7

Step-by-step explanation:

7 balls in a box 3 are red and 2 are yellow and 1 is white what is the probability of find a yellow ball?

Between which two consecutive whole numbers does √14 fall on the number line? Pls awnser

Answers

Answer:

3 and 4

Step-by-step explanation:

Can someone please help me

Answers

Answer:

radius = 10

(x-5)² + (y-11)² = 100

Step-by-step explanation:

The circumference is given, we get r = 20π/2π = 10

∴Equation of circle is (x-5)² + (y-11)² = 100

Answer:

hiii

Step-by-step explanation:

‼‼‼‼❗❗‼ HELP NEED RIGHT ANSWERS

Answers

Answer:

17,296

Step-by-step explanation:

All you do is 92x47 x4

answer (2 + 2) - 4 + 2

Answers

The answer is 2 jdjjdbfhdjwjwjfhxjsjjwkekdk

Answer:

The answer is 2

Step-by-step explanation:

[tex](2 + 2) - 4 + 2[/tex]

Start by solving what inside the parentheses

[tex]4 - 4 + 2[/tex]

Solve the addition

[tex]0 + 2 \\ 2[/tex]

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