If (-2, 3), (4, -3) and (4, 5) are the mid-points of the sides of a triangle, find the co-ordinates of its centroid​

Answers

Answer 1

Answer:

[tex]G=(2,\frac{5}{3} ).[/tex]

Step-by-step explanation:

Let the given vertices of a triangle be [tex]A(-2,3)[/tex]and [tex]B (4,-3)[/tex] let the third vertex be[tex]C (4,5)[/tex].

Let Centroid be G = [tex][\frac{x_{1} +x_{2}+x_{3} }{3} , \frac{y_{1}+y_{2}+y_{3} }{3} ][/tex]

⇒ [tex]G=(\frac{-2+4+4}{3} ,\frac{3-3+5}{3})[/tex]

⇒ [tex]G=(\frac{6}{3} ,\frac{5}{3} )\\[/tex]

⇒ [tex]G=(2,\frac{5}{3} ).[/tex]


Related Questions

can I have help pls

Answers

Answer:

  D. II only

Step-by-step explanation:

The square root equations will each have only one real solution. (Sometimes, there is an extraneous solution if the variable is also found outside the radical.)

The rational equation will result in a quadratic when it is simplified. It will have two real solutions.

Only equation II will have two real solutions.

NEED HELP ASAP

Which statement correctly explains the association in the scatter plot?

Answers

Answer:

Negative relationship

Step-by-step explanation:

It is going in a negative direction.

Pls mark brainliest :)

what's the slope
(1, 1)
(3, 4)

Answers

Answer:

y= 3/2x-1/2

Step-by-step explanation:

Answer:

3/2 or 1.5

Step-by-step explanation:

gradient = ∆y/∆x

∆y = 4 - 1 =3

∆x = 3 - 1 = 2

∆y/∆x = 3/2

PLEASE HELP ME PLEASE

Answers

Answer:

0.75 lb potato salad = $2.22

Step-by-step explanation:

If 1 pound of potato salad = $2.96

Then 0.75 pounds of potato salad = 0.75 x 2.96 = 2.22

Substitute this simultaneous linear equation
[tex]x - 4y = - 6 \\ 2x + 3y = 10[/tex]

Answers

Answer:

[tex]x - 4y = - 6 \: ......(1) \\ \\ 2x + 3y = 10 \: .......(2)[/tex]

from equation (1)

[tex]x - 4y = - 6 \\ \\ 4y = x + 6 \\ \\ y = \frac{x + 6}{4} [/tex]

Substitute " y " in equation (2)

[tex]2x + 3y = 10 \\ \\ 2x + 3( \frac{x + 6}{4} ) = 10 \\ \\ 2x +( \frac{3x + 18}{4} ) = 10 \\ \\ \\ \frac{8x + 3x + 18}{4} = 10 \\ \\ \\ 8x + 3x + 18 = 10 \times 4 \\ \\ 11x + 18 = 40 \\ \\ 11x = 40 - 18 \\ 11x = 22 \\ \\ x = \frac{22}{11} \\ \\ x = 2[/tex]

[tex]y = \frac{x + 6}{4} \\ \\ y = \frac{2 + 6}{4} \\ \\ y = \frac{8}{4} \\ \\ y = 2[/tex]

Use the model below to calculate
2
3
×
3
4
.

A rectangle is shown divided into 3 rows and 4 columns. 3 of the 4 columns are shaded blue.

A.
3
12
or
1
4
B.
12
12
or
1
C.
4
12
or
1
3
D.
6
12
or
1
2

Answers

Answer:

D

Step-by-step explanation:

i already did the test

Answer:

d

Step-by-step explanation:

What is the length of the altitude drawn to the hypotenuse? The figure is not drawn to scale. * 12 3 X W3 x 12 Z Y Your answer ​

Answers

Answer:

What is the length of the altitude drawn to the hypotenuse?, Corollary: The length of the altitude to the hypotenuse of a right triangle is the geometric mean of the lengths of the two segments of the hypotenuse.

Furthermore, When an altitude is drawn to the hypotenuse of a given right triangle the new figure comprises two similar right triangles?, Theorem 62: The altitude drawn to the hypotenuse of a right triangle creates two similar right triangles, each similar to the original right triangle and similar to each other. Figure 2 shows the three right triangles created in Figure . They have been drawn in such a way that corresponding parts are easily recognized.

Finally,  When the altitude is drawn to the hypotenuse of a right triangle three similar triangles are formed?, The Inscribed Similar Triangles Theorem states that if an altitude is drawn from the right angle of any right triangle, then the two triangles formed are similar to the original triangle and all three triangles are similar to each other. Perpendicular lines are lines that intersect at a 90^{circ} angle.

Step-by-step explanation:

GIVING BRAINIEST IF CORRECT!!!


Farmer Taja needs a field for her horses to graze. She found a field that has a width of x+4. The length of the field is more than twice the width. What is the area of the field Taja found?

Answers

Given :

w = x + 4L = 3+ 2(w) = 3 + 2 (x + 4)

Solution:

Area = L × WArea = [3 + 2 (x + 4) ]× x + 4Area = [3 + 2x + 8] × x + 4Area = [2x + 11] × x + 4Area = 2x² + 11x + 8x + 44Area = 2x² + 19x + 44

hope it helped!

A restaurant owner washed 87 kilograms of vegetables, some spinach and some carrots. The spinach came in 5-kilogram bags and the carrots came in 7-kilogram bags. The owner washed 15 bags of vegetables in all. How many bags of each kind did he wash?

Answers

Answer:

9 bags pf spinach, 6 bags of carrots

Step-by-step explanation:

x bags of spinach, y bags of carrots,

x + y = 15                 (1)

weight of spinach = 5 * x, weight of carrots = 7 * x

5x + 7y = 87           (2)

From (1) y = 15 - x

Sub it into (2):

5x + 7(15 - x) = 87

5x + 105 - 7x = 87

2x = 105 - 87 = 18

x = 9

y = 15 - x = 15 - 9 = 6

So 9 bags pf spinach, 6 bags of carrots.


The price of a technology stock has risen to $9.77 today. Yesterday's price was $9.68. Find the percentage Increase. Round your answer to the nearest tenth of a percent.

Answers

0.09% increase.

Difference in price / original price

9.77 - 9.68 = 0.09
0.09/9.68 = 0.00929
Move two decimal points to the right = 0.9%

What is the exact value of 5 5/6 - (1 1/4 + 3 7/8)?

A. 17/24

B. 1 1/6

C. 8 11/24

D. 10 23/24

Answers

Answer: A) 17/24
Explanation:

how do you do this as i get 42
46-2⁴÷(3-1)​

Answers

Answer:

38

Step-by-step explanation:

[tex]46 - {2}^{4} \div (3 - 1) \\ 46 - 16 \div (2) \\ 46 - 8 \\ = 38[/tex]

first calculate whats in the brackets.

then divide

and lastly subtract

there are 3 piles papers on a desk each pile has 21 papers how many papers are there total

Answers

Answer:

63 papers total.

Step-by-step explanation:

3 piles, 21 papers a pile, 3*21 =63.

Answer:

63

Step-by-step explanation:

because 3x21 is 63

what does a(b-c) = to?

Answers

Solution:

The expression "a(b-c)" is an example of distributive property. To simplify it, simply multiply a by the terms inside the bracket.

Simplifying the distributive property.

=> a(b - c)=> (a x b) + (a x -c)=> ab - ac

Hence, the simplified expression is ab - ac.

We can use the distributive law to simplify it or factor it but more

[tex]\\ \tt\hookrightarrow a(b-c)[/tex]

[tex]\\ \tt\hookrightarrow a(b)-a(c)[/tex]

[tex]\\ \tt\hookrightarrow ab-ac[/tex]

Express each fraction as a percent. Round your answer to the nearest whole number. 76/125

Answers

Answer:

  61%

Step-by-step explanation:

Multiply the fraction by 100%.

  76/125 × 100% = (7600/125)% = 60.8% ≈ 61%

Give answer as positive exponent

Answers

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\mathsf{x^4\ \bullet \ x^{-7}}\\\\\mathsf{\rightarrow x\bullet x\bullet x\bullet x (\dfrac{1}{x\bullet x \bullet x \bullet x\bullet x \bullet x \bullet x})}\\\\\mathsf{\star \heartsuit \ - 7 = \bf -3 \ \star \heartsuit}\\\\\mathsf{\rightarrow \dfrac{1}{x\bullet x \bullet x}}\\\\\mathsf{\approx \dfrac{1}{x^3}}\\\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{\dfrac{1}{x^3}}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Brainliest if correct

Answers

Answer:

x=9

Step-by-step explanation:

Using the second equation (y=54), we can substitute 54 for y to solve for x...

y=6x

54=6x

Divide both sides by 6

x=9

Answer:

x = 9

Step-by-step explanation:

Since y = 54

54 = 6x

Divide both sides of the equation by the same term

54/6=6x/6

Simplify

x = 9

[RevyBreeze]

2 2/5 divided by 2 1/10

Answers

firstly let's convert the mixed fractions to improper fractions and then divide.

[tex]\stackrel{mixed}{2\frac{2}{5}}\implies \cfrac{2\cdot 5+2}{5}\implies \stackrel{improper}{\cfrac{12}{5}} ~\hfill \stackrel{mixed}{2\frac{1}{10}}\implies \cfrac{2\cdot 10+1}{10}\implies \stackrel{improper}{\cfrac{21}{10}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{12}{5}\div \cfrac{21}{10}\implies \cfrac{12}{5}\cdot \cfrac{10}{21}\implies \cfrac{120}{105}\implies \cfrac{8}{7}\implies 1\frac{1}{7}[/tex]

Answer:

first make them improper fractions

2 2/5 = 12/5

2 1/10 = 21/10
now set them up

12/5 divided by 21/10

make 21/10 a reciprocal(flip the fraction upside down)  and multiply across

12/5 x 10/21 = 1.14 or 1 1/7

The locations of three fish relative to the water's surface are - 17 feet, - 10 feet, and -19 feet.
There is also a bird flying 12 feet above the water. Which distance has the least absolute value?

Answers

Answer:

-10

Step-by-step explanation:

I think you are asking which is the least distance from 0 which would just be -10

7. 65 out of 105
Simplify

Answers

Answer:

13/21

Step-by-step explanation:

65/105 = 13/21

Solve the proportion 3/4 = 9/x

Answers

3/4 = 9/x
Cross-multiply.
3/4 = 9/x
3 * x = (9) * (4)
3x = 36
Divide both sides by 3.
3x/3 = 36/3
x = 12

After four days, Trudy's average exercise time was 45 minutes per day. If she exercises 60 minutes on the fifth day, what will be her average time in

Answers

Answer:

240

Step-by-step explanation:

because adding the 45's 4 times then adding 60.

sorry if im wrong btw.

8.If 20 is 50% of a number, what is the number​

Answers

20 is 50% of 40
50% of 40= 20

Percentage

100:50 x 20 = 40

It takes 20 minutes for a cow to be milked by a milking machine.
How many cows can be milked in 6 hours?

Answers

18 cows can be milked

Answer:

18 cows can be milked in 6 hours

Step-by-step explanation:

hrs.=3

A rock is thrown upward with an initial velocity of 16ft/sec from an initial height 5ft. How much time does it take for the rock to hit the ground?

A. -0.25sec
B. 0.5sec
C. 1.25sec
D. 1.5sec


Answer: C

Answers

The amount of time it would take for the rock to hit the ground is 1.25 seconds.

Given the following data:

Initial velocity = 16 ft/secHeight = 5 ft.

Scientific data:

Acceleration due to gravity (g) = 9.8 [tex]m/s^2[/tex]

To determine the amount of time it would take for the rock to hit the ground, we would apply the parabolic function:

How to calculate the time.

Mathematically, the parabolic function is given by this formula:

[tex]h(t) = -16t^2 +ut+h_0[/tex]

Where:

U is the initial velocity.a is the acceleration.[tex]h_0[/tex] is the height.t is the time.

Substituting the given parameters into the formula, we have;

[tex]0 = -16t^2 +16t+5\\\\16t^2-16t-5=0\\\\(4t+1)(4t-5)=0[/tex]

Taking the positive value of t, we have:

[tex]4t-5-0\\\\4t=5\\\\t=\frac{5}{4}[/tex]

t = 1.25 seconds.

Read more on time here: brainly.com/question/24728358

A standard pair of six-sided dice is rolled. What is the probability of rolling a sum less than or equal to 8? Express your answer as a fraction or a decimal
rounded to four decimal places.

Answers

Answer:

2/3

Step-by-step explanation:

(PLEASE HURRY! will award brainliest)
Solve for x. Show your work.

Answers

Answer:

x = 8

Step-by-step explanation:

12 : 36

1 : 3

the distance is 3×, so

x = 26 ÷ 3

= 8

Hunter and Christopher were analyzing the graph shown . Both students identified the function to be represented by the, d=13h-75, where d is the amount of money in a checking account and h is the number of hours worked. Hunter explained the equation represented an original amount of $75 that decreased $13 for every hour. Christopher disagreed. He interpreted the equation as a person who was in debt $75 earned $13 every hour.

Answers

Using linear function concepts, it is found that Christopher is correct.

What is a linear function?

A linear function is modeled by:

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

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can be interpreted as the initial value.

In this problem, the function is:

[tex]d = 13h - 75[/tex]

Considering the description of the output d as the amount of money in a checking account and of the input h as the number of hours worked, we have that:

For each hour worked, the person earns $13.Considering taxes, the person starts at a debt of $75.

Hence, Christopher is correct.

You can learn more about linear function concepts at https://brainly.com/question/24808124

Answer is linked below.

Answers

Answer:

- 7x² + 12x - 9

Step-by-step explanation:

Given:

A = 3x² - 7x + 8B = x² + 8x - 3C = - 5x² - 3x + 2

Find B + C - A:

B + C - A = x² + 8x - 3 + (- 5x² - 3x + 2) - (3x² - 7x + 8) = x² + 8x - 3 - 5x² - 3x + 2 - 3x² + 7x - 8 =(1 - 5 - 3)x² + (8 - 3 + 7)x + (-3 + 2 - 8) = - 7x² + 12x - 9

A = [tex]3x² - 7x + 8[/tex]

B = [tex]x² + 8x - 3[/tex]

C = [tex]-5x²-3x + 2[/tex]

Lets find B + C - A :

→ [tex]B + C - A[/tex]

→ [tex]x² + 8x - 3+ (- 5x²-3x + 2)-(3x² - 7x + 8)[/tex]

→ [tex]x² + 8x - 3-5x² - 3x + 2-3x² + 7x - 8[/tex]

→[tex] (1-5-3)x² + (8 -3 + 7)x+ (-3 + 2 - 8)[/tex]

→ [tex]- 7x² + 12x - 9[/tex]

Anyone know answers to these? I don’t understand these at all

Answers

Answer:

[tex]\red{ m\angle B= 121\degree}\\\\\purple{AD=23\: units}[/tex]

Step-by-step explanation:

Quadrilateral ABCD is a parallelogram.

opposite angles of a parallelogram are equal in measure.

[tex]\implies (10x-19)\degree=(9x-5)\degree[/tex]

[tex]\implies 10x-19=9x-5[/tex]

[tex]\implies 10x-9x=19-5[/tex]

[tex]\implies x=14[/tex]

[tex]m\angle B= (9x-5)\degree[/tex]

[tex]\implies m\angle B= (9*14-5)\degree[/tex]

[tex]\implies m\angle B= (126-5)\degree[/tex]

[tex]\huge\implies m\angle B= 121\degree[/tex]

Opposite sides of a parallelogram are equal.

3y - 1 = y + 15

3y - y = 15 + 1

2y = 16

y = 16/2

y = 8

AD = 3y - 1 = 3*8 - 1 = 24 - 1

AD = 23

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