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

3-4/5X-2/3–3/15+3/5divided by -3/2

Answers

Answer:

-2(6x-13)/15

Step-by-step explanation:

This is done by simplifying the expression as well as combining like terms

23. Geometric constructions require the following tools:
O a protractor, compass, and a pencil
O a compass, a straightedge, and a pencil
O a compass, scissors, and a pencil
O a protractor, a straightedge, and a pencil

Answers

Answer:

The correct option is;

Geometric constructions require the following tools;

A protractor, a straightedge, and a pencil

Step-by-step explanation:

The question relates to the tools required for a geometric construction. From the question options, the complete set  of tools with which a geometric construction is made comprises of the following

1) A protractor, which is used for angle measurements

2) A straightedge, which is used to draw lines which are straight or for checking the straightness of a line

3) A pencil, which is made up of a graphite stick reinforced by an enclosure of wood or other material, is used for creating visible marks of drawings or writing on paper or some other writing materials by physical abrasion

A compass is used for navigation of the geographic cardinal directions and comprises of a magnet.

Answer:

Answer is compass, straightedge, and a pencil

Step-by-step explanation

have a nice day :)

The combined area of a square and a rectangle is 33 square meters. The width of the rectangle is 1 meter more than the length of one side of the square and the length of the rectangle is 3 meters more
than its width.
a) Calculate the dimensions of the rectangle and its perimeter

b) Calculate the dimensions of the square.

Answers

Answer:

Step-by-step explanation:

Square is x meters on each side.

Area of square = x²

Width of rectangle = x+1

Length of rectangle = x+4

Area of rectangle = (x+1)(x+4) = x²+5x+4

Combined area = 2x²+5x+4 = 33

2x²+5x-29 = 0

x = [-5+√(5²-4(2)(-29))]/[2(2)] = [-5 +√257]/4

Help me with this!!!!!

Answers

Answer:

b = 28

Step-by-step explanation:

b + 28 = 2b

28 = 2b - b

28 = b

b = 28

DUE TODAY!! Which number could be considered an outlier in the data set {3,5,6,8,24}?

6
3
5
8
24

Answers

Answer:

24

Step-by-step explanation:

all the other numbers are not that far in range from each other but 24 is way off so its the outlier

Which set of three angles could represent the interior angles of a triangle?
O 26°, 510, 1030
O 290, 540, 1070
35°, 35°, 20°
10°, 90°, 90°

Answers

Answer:

26°,51°,103°

Step-by-step explanation:

sum of angles=180°

The marked price of a refrigerator is $1660. John has a coupon for 15% off. Find the selling price of the refrigerator with the coupon

Answers

Answer:

answer is selling price=$1411

Step-by-step explanation:

discount percentage=100%-15%=85%

Ok thank you That helped me too

Somebody please help and explain it.

Answers

Explanation is in the file

tinyurl.com/wpazsebu

Find the value of x in the image above

Answers

Answer:

Step-by-step explanation:

For what value of x is 2x + 3 = 6x - 17 true?

Answers

Answer:

x = 5

Step-by-step explanation:

10 + 3 = 30 - 17

from a point 12 ft from the base of a building, the angle of elevation from the ground to the top of the building is 70 degrees. Which is the closest to the height of the building​

Answers

Answer:

c 33ft .....

Step-by-step explanation:

c is correct

The possible height of the building is 33 ft.

What is Angle of Elevation?

The angle of elevation is an angle that is formed between the horizontal line and the line of sight. If the line of sight is upward from the horizontal line, then the angle formed is an angle of elevation.

Here, Let the height of the building be x ft

           Base = 12ft.

          Angle of Elevation = 70⁰

Now, tan α = perp. / base

         tan 70⁰ = x/12

         2.74 = x/12

          x = 12 X 2.75

          x = 33

Thus, the possible height of the building is 33 ft.

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What is the estimated situation.

Answers

Answer:

Please show more information!

Step-by-step explanation:

Answer:

Lookin good soldier. Troops are ripping through their pathetic defenses. They're already runnin for the hills.

A bag contains 8 red, 6 green, and 3 blue popsicles. John is going to draw out a popsicle without looking in the bag.
What is the probability that he will draw either a green or a blue popsicle?

Answers

Answer:

52.94117647 %

Step-by-step explanation:

there is 17

6 + 3 = 9

9/17 = .5294117647

simplify 3.4n+9.6-2.1n

Answers

Answer:

1.3n + 9.6

Step-by-step explanation:

3.4n-2.1n is 1.3n and we have the left over +9.6 .

chose the correct equation type for each system WILL MARK BRAINLIEST!!!!!!!!!

Answers

graph? heidgdisdvhdhdhdvd

Simplify 4x^2 / 3 X 6/ 8x

Answers

Answer:

hope it is helpful in understanding

Could you show actual problem

Mr. Ramsey's science students are going on a field trip. He teaches 116 students. They will be nding in vans that seal 18 students. Hou marry vans are needed to transport the students? ​

Answers

Answer:

6 vans

Step-by-step explanation:

If 1 van can seal 18 students...

116 ÷ 18 = 6.4

Since it's not a whole number, we will estimate it to the nearest whole number which is 6.

Answer: you need seven vans

Please answer all of the 3.
PLEASE! And I’ll give you 5 stars and a Thanks?! :)

Answers

Answer:

7) 2((7x12) + (7x2) + (12x2)

2(84 + 14 + 24)

2(122)

244

8) 2((13x4) + (4x6) + (13x6))

2(52 + 24 + 78)

2(154)

308

9) 2((4x15) + (4x8) + (15x8))

2(60 + 32 + 120)

2(212)

424

Step-by-step explanation:

A soccer game is 60 minutes long. Forty-one minutes of the game
have been played. Write and solve an equation to find the number
of minutes m that remain. Enter your answer as m=?

Answers

First it’s football second it’s 90 m long :)

A) I only
B) II only
C) III only
D) I and II only

Answers

Answer:

The . correct answer will be C

Step-by-step explanation:

i need help ASAP ill give u brainliest ! WORTH 20 POINTS ! any silly guess gets reported

Answers

Answer:

for volume you multiple l*w*h so 2)432 4)1,216

what is 210900 times 234546

Answers

answer : 49465751400


other than that have a wonderful day <3

Answer:

49465751400

Step-by-step explanation:

6a-4b when a=5 and b=3

Answers

Answer:

18

Step-by-step explanation:

Answer:

Use substitution to receive: 18

Step-by-step explanation:

6a - 4b when a = 5 and b =  3

6(5) - 4(3)

30 - 12 = 18

Multiply using FOIL or Table method (x + 4) (x + 5)

Answers

Answer:

[tex] {x}^{2} + 9x + 20[/tex]

Step-by-step explanation:

1) Use FOIL method: (a + b) (c + d) = ac + ad + bc + bd.

[tex] {x}^{2} + 5x + 4x + 20[/tex]

2) Collect like terms.

[tex] {x}^{2} + (5x + 4x) + 20[/tex]

3) Simplify.

[tex] {x}^{2} + 9x + 20[/tex]

Therefor, the answer is x² + 9x + 20.

A square pyramid has a base
edge of 5.5 yards and a height
of 3.25 yards. What is the
volume of the pyramid to the
nearest tenth of a yard?

Answers

Answer:

V≈25.06m³

Step-by-step explanation:

Unit Conversion:

a≈5.03m

h≈2.97m

Solution

V=a2h 3=5.032·2.97 3≈25.0551m³

Lucy bought a fish tank shaped like a rectangular prism for her new betta fish. The tank holds 2,244 cubic inches of water. It is 12 inches long and 11 inches wide.

Answers

Answer:

The length of the fish tank is 17 inches.

Step-by-step explanation:

The volume of a rectangular prism is length × breadth × height.

You already know the volume, breadth, and height, so you can find the length.

Length = 2244 ÷ 12 ÷ 11

            = 17 inches

The height of the tank is 17 inches.

What is Volume?

Volume of a three dimensional shape is the space occupied by the shape.

Given that,

The shape of the fish tank is rectangular prism.

The formula to calculate the volume of the rectangular prism is,

Volume = Length × Width × height

Given,

Volume of the tank = 2,244 cubic inches

Length = 12 inches

Width = 11 inches

Let x be the height.

Substituting the given values,

2,244 = 12 × 11 × x

x = 2244 / (12 × 11)

x = 2244 / 132

x = 17 inches

Hence the height of the tank is 17 inches.

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Your question is incomplete. The complete question is given below.

Lucy bought a fish tank shaped like a rectangular prism for her new betta fish. The tank holds 2,244 cubic inches of water. It is 12 inches long and 11 inches wide. What is the height of the tank?

15 less than twice the sum of 61

Answers

Answer: 38

Explanation the answer is 38

A student has two part-time jobs. He earns $8.50 per hour for babysitting and $11.50 for each lawn he mows. If the student babysits for 512 hours and mows 7 lawns, how much money will he earn?

Answers

Answer:

$4,352 + $126.50= $4,478.50

Step-by-step explanation:

8.50 x 512 = 4,352

11.50 x 7 = 126.50

All together it equals

4,478.50

Hope this Helps! :)

Find an equation for the line below

Answers

I’ve attached my work below...
Hope this helps!
y=-1/2x+4.5
y=mx+b
first do rise over run so it goes down 3 units and to the right 6 units then you simplify 3/6 to the smallest fraction which would be 1/2 and since the line is going down horizontally the slope(1/2) would be negative then you simply see where the line crosses the y-axis and that is the "b"(4.5) for the equation now all you gotta do is plug in the numbers and you get
y=-1/2x+4.5

If the lowest price in the past year occurred 48 days ago, find the approximate average change per day since then.

Answers

Answer:

0.72

Step-by-step explanation:

According to the stock listing mentioned in the listing for Enam Telecom is

52 wk high = 122.86

52 wk low = 64.77

Div. = 3.45

Close = 99.14

Net change = 4.74

Now it is mentioned that lesser price i.e. 64.77 arised 48 days ago.

As yesterday closing price was 99.14

So,  the net change in value would be

= 99.14 - 64.77

= 34.37

For 48 days, the average change per day would be

= Total change ÷ number of days

= 34.37 ÷ 48

= 0.716

= 0.72

Answer:

is B. 0.72I

Step-by-step explanation:

Edge 2022

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