A triangle with vertices D, E, and F are plotted on the coordinate plane at (0, 5). (2, 0), and (-4, 2), respectively. When constructed,
medians DG and EH intersect at the point with which coordinates? Round each coordinate to the nearest tenth if necessary.


A. (-0.7, 2.5)

B. (-1, 1)

C. (-0.7, 2.3)

D. (-2, 3.5)

Answers

Answer 1

Given:

Vertices of a triangle are D(0,5), E(2,0) and F(-4,2).

To find:

The intersection point of medians DG and EH.

Solution:

We know that, intersection point of all the medians of a triangle is called centroid.

The formula of centroid is

[tex]Centroid=\left(\dfrac{x_1+x_2+x_3}{3},\dfrac{y_1+y_2+y_3}{3}\right)[/tex]

Vertices of a triangle are D(0,5), E(2,0) and F(-4,2). So, the centroid of the triangle is

[tex]Centroid=\left(\dfrac{0+2+(-4)}{3},\dfrac{5+0+2}{3}\right)[/tex]

[tex]Centroid=\left(\dfrac{-2}{3},\dfrac{7}{3}\right)[/tex]

[tex]Centroid=\left(-0.666...,2.333\right)[/tex]

Round each coordinate to the nearest tenth.

[tex]Centroid=\left(-0.7,2.3\right)[/tex]

Therefore, the correct option is C.


Related Questions

NEED HELP FAST PLEASEEE!!

Answers

Answer:

y=2x+0

Slope:  

2

y-intercept:  

( 0, 0 )

Step-by-step explanation:

Slope intercept form: y=mx+b

Use the slope formula and the slope-intercept form to find the slope  m  and y-intercept  b .

ou go to the store and buy jeans for $40, a shirt for $20, and a jacket for $60. You have a coupon for 35% off. What is the sale price?

Answers

Answer:

SAME AS THIS

Explanation:

County A: Multiply the price by the sales tax to find out how much money the sales tax will add. Remember to convert percent to decimal!

$75 * 0.0725 = $5.4375

Add the original price and the sales tax.

$75 + $5.4375 = $80.4375

County B: Multiply the price by the sales tax to find out how much money the sales tax will add. Remember to convert percent to decimal!

$70 * 0.08 = $5.6

Add the original price and the sales tax.

$70 + $5.6 = $75.6

Then take the difference.

80.4375 – 75.6 = 4.8375

Round to the nearest hundredth: $4.84

Answer:

the sale price would be $78

Step-by-step explanation:

add up all the prices to get 120

35% taken off of 120 is 78

Can someone help me please

Answers

Answer:

-15

Step-by-step explanation:

it’s b! because it is a negative and has no absolute value sign.

Trevor has 3 2/5 pieces of cake left over. If she wants to split it between her and her 9 friends, how much will each
person get?

Answers

Answer:

17/50.

Step-by-step explanation:

If we convert 3 2/5 into an improper fraction, we get 17/5.

If you don't read the question carefully, it's easy to think that the answer would be 17/5 ÷ 9. However, this is wrong.

The question says "her AND her 9 friends," so there are 9+1=10 people total.

Thus, the answer would be

17/5 ÷ 10 = 17/5 * 1/10 = 17/50.

Can u help me understand how to write a function for the rule "the output is 3 less than 5 times the input" thanks :)​

Answers

Answer:

I think it would be something like 5x - 3 =

Sheila's entertainment center has enough space for a television that is 12 inches long and 15 inches high. TVs for Less is selling a television with an area of 196 square inches. Will the television fit in Sheila's entertainment center?

Answers

12x15 = 180

196 is greater than 180

No, the tv will not fit

helpppppppppppppppppppppppppppppppppppp please!

Answers

Yes I did not get a hold on you and you can see you at your place I will call him back and see what he says about it I think I have a lot to say about that and he is going on the phone and he doesn’t know how he is going on it and I was just telling him I don’t know what he is going on with him but but it’s ok if you do it I can see him in shields m.

Enter the correct answer pls help​

Answers

Answer:

[tex]\huge\boxed{\sf x = 8a}[/tex]

Step-by-step explanation:

[tex]\sf \frac{3}{a} x - 4 = 20\\\\Add \ 4 \ to \ both \ sides\\\\\frac{3}{a} x = 20+4\\\\\frac{3}{a} x = 24\\\\Multiply \ both \ sides \ by \ a\\\\3x = 24 * a\\\\Divide \ 3 \ to \ both \ sides\\\\x = 24a / 3\\\\x = 8a\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

What’s the answer? QUICK

Answers

Answer:

Step-by-step explanation:

4 and 1/6

Distributed Property

Please simplify 5(-x-4)-4

thanks

Answers

it’ll be -5x - 24

you multiply the 5 by 4 and it’ll be 24, and put the x with the 5 and that’ll be your answer :)

Can someone please help me with this please

Answers

B = E C = FA = DAC = FDBC = FEAB = ED

These are all your congruent parts and they are colour coded along with matching marks on the triangle to help you know that! :)

Please answer this and will give 5 stars and brainlist

Answers

Answer:

Statistica im pretty sure, i might be wrong tho, but if its right, cool

Step-by-step explanation:

solve for x pls hurry

Answers

Answer:

x=19

Step-by-step explanation:

5(x+35)=9(300

5x+175=270

5x=270-175

5x=95

95/5=19X

Given Q'R'S'T' is a dilation of QRST, find the scale factor of dilation.

Answers

Answer:

5Cause 15 divided by 3 is five

a tangent to a circle passes through the center of the circle
True
false
sometimes true​

Answers

Answer:

False.

Step-by-step explanation:

A tangent is a line that only touches exactly one point of the circle. (The outer edge) :)

What is the value of x

Answers

Answer:

4.4

Step-by-step explanation:

10/4=2.5

11/2.5=4.4

I don't understand this ​

Answers

Answer:

59

Step-by-step explanation:

It's quite simple. A triange has a total of 180 degress. So add 47 and 74 to get 121. Then do 180 minus 121 to get 59

Answer: 59

Explaination:
A triangle must always add up to 180, since the image already gave you the two angle’s degrees. Now you add them together and get 121 now you subtract 180 to 121 to find the missing values. Which is 59.

URGENT PLEASE HELP ME, ITS DUE IN A HOUR ​

Answers

Answer:

Area of gray region = [tex]8x^2+8x-7[/tex]

Step-by-step explanation:

The area covered by the furniture can be subtracted from the total area of the room to calculate the area of the gray region.

Total area of the room: [tex]13x^2+7x-2[/tex]

Area taken up by furniture: [tex]5x^2-x+5[/tex]

Area of gray region = total area of the room - area taken up by furniture

Area of gray region = [tex]13x^2+7x-2-(5x^2-x+5)[/tex]

Remember to distribute the negative sign:

Area of gray region = [tex]13x^2+7x-2-5x^2+x-5[/tex]

Combine like terms:

Area of gray region = [tex]8x^2+8x-7[/tex]

Answer:

8x^2+6x+3

Step-by-step explanation:

 13x^2+7x-2

-  5x^2-   x+3

============

8x^2=6x=3

solve equation
x^2+6x+1=0
give your answer to 2 decimal places

Answers

Step-by-step explanation:

x² + 6x + 1 = 0

(x + 3)² - 8 = 0

(x + 3)² = 8

x + 3 = √8 or x + 3 = -√8

x = √8 - 3 or x = -√8 - 3

x = -0.17 or x = -5.83.

The solution of the given quadratic equation x² + 6x + 1 = 0 will be x = -0.17 or x = -5.83.

What is a quadratic equation?

An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, and a must not be zero.

For example, 3x² + 6x + 8 = 0 here x has the highest term as 2 and the coefficient of x² is not zero.

As per the given quadratic equation,

x² + 6x + 1 = 0

Make the whole square as

(x + 3)² - 8 = 0

(x + 3)² = 8

x + 3 = √8 or x + 3 = -√8

x = √8 - 3 or x = -√8 - 3

x = -0.17 or x = -5.83.

Hence "The solution of the given quadratic equation x² + 6x + 1 = 0 will be x = -0.17 or x = -5.83".

For more about the quadratic equation,

https://brainly.com/question/17177510

#SPJ2

Dylan, Alan, Bruce, and Cecil are brothers. Dylan weighs d pounds. Alan weighs 3 pounds more than twice what Dylan weighs. Bruce weighs 12 pounds less than three times what Dylan weighs. If Cecil weighs the same as the combined weight of Bruce and Alan, what is Cecil’s weight in terms of Dylan’s weight (d)?

Part A
Alan weighs 3 pounds more than twice what Dylan weighs. Write an expression to represent Alan’s weight in terms of Dylan’s weight.

Part B
Bruce weighs 12 pounds less than three times what Dylan weighs. Write an expression for Bruce's weight in terms of Dylan's weight

Part C
Cecil weighs the same as the combined weight of Bruce and Alan. Use the expressions you found in parts A and B to write an expression for Cecil's weight in terms of Dylan’s weight.

Part D
Assume that Dylan weighs 45 pounds. Use the expression from part C to calculate Cecil’s weight.

Part E
Recall the linear expression for Cecil’s weight in part D. Before plugging values into it, could you have simplified the expression? If yes, explain how.

Part F
Simplify the expression (2d + 3) + (3d − 12).

Part G
Dylan weighs 45 pounds. Use the simplified expression you found in Part F to recalculate Cecil’s weight. Show your work.

Part H
Did you get the same answer for Cecil’s weight in parts D and G? What can you conclude about the expressions you developed in parts D and G?

Part I
Let's try something a bit different. The four brothers know that Bruce weighs more than Alan. Write an expression to represent how much more Bruce weighs than Alan. Write the in terms of Dylan’s weight, d.

Part J
Dylan weighs 45 pounds. Use the expression you derived in part I to calculate how much more Bruce weighs than Alan.

Part K
Now simplify the expression (3d − 12) − (2d + 3) you wrote in part I.

art L
Dylan weighs 45 pounds. Use the simplified expression you found in part K to recalculate how much more Bruce weighs than Alan. Did you get the same answer as in part J? If not, be sure to check your work, particularly the positive and negative signs.

PLEASE HELP I WILL DO YOUR WORK IF YOU DO THIS FOR ME PLZZZZZZZZZZZZZZZ

Answers

Answer:

PART A- 3+D POUNDS

PARTB- 3D-12

Step-by-step explanation:

dylan-d pounds

alan-3+d pounds

bruce-3d-12

Answer:

Alan = A

Bruce = B

Cecil = C

Dylan = D

Part A     A = 2 x D + 3

Part B     B= 3 x D - 12

Part C    C= A+B     A = 2 x D + 3       B= 3 x D - 12

Part D    Cecil weighs 216 pounds

Part E     Yes, the expression can be simplified by using the Associative and Commutative Properties of addition and by combining the like terms in the expression.

Part F      5d-9

Part G      Cecil’s weight in terms of Dylan’s weight is 5d – 9.  Find Cecil’s weight by substituting Dylan’s weight (d = 45) into the expression above:

(5 × 45) − 9  = 225 − 9  = 216.

If Dylan weighs 45 pounds, then Cecil weighs 216 pounds.

Part H   Yes, the answers are the same. The expression from part D is equivalent to the expression from part G.

Part I       Bruce's weight in terms of Dylan’s weight is 3d − 12.  Alan's weight in terms of Dylan’s weight is 2d + 3.

So, the expression (3d − 12) − (2d + 3) represents how much more Bruce weighs than Alan.

Part J      The expression is (3d − 12) − (2d + 3).  Evaluate the expression by substituting Dylan’s weight (d = 45) into it:  (3 × 45 − 12) − (2 × 45 + 3)  = (135 − 12) − (90 + 3)  = (123) − (93)  = 30.

Bruce weighs 30 pounds more than Alan weighs.

Part K   (3d − 12) − (2d + 3).

First remove the parentheses:

3d − 12 − 2d − 3.

Then group the like terms:

3d − 2d − 12 − 3.

Finally, subtract the like terms:

d − 15.

The expression (3d − 12) − (2d + 3) simplifies to d − 15.

Part L    The expression is d − 15.  Evaluate the expression by substituting Dylan’s weight (d = 45) into it:  45 − 15 = 30.

Bruce weighs 30 pounds more than Alan. This is the same answer as in part J.

Step by step explanation:

So you basically want to focus on Alan and Bruce they will help you get the rest of your answers

Note:

Some of these are direct answers from Edmentum

Please help me ASAP. ( and actually try and not just type something random)

Answers

Answer:

i think shell pay 24$ between 3 and 4pm

and an additional $12

Step-by-step explanation:

sorry if this is wrong:(

You had $23 to spend on five raffle tickets. After buying them, you had $8.
How much did each raffle ticket cost?
O $103
O $3
O $75
O $15

Answers

Answer:3

Step-by-step explanation:

23-8= 15

15/5=3

The answer is $3

because 23-8=15
15/5=3

Someone plz help T^T

Answers

Answer:

No

Step-by-step explanation:

parallel means they do not touch.

i don’t kno the answer help

Answers

Answer:

Yes

Step-by-step explanation:

It is true because the equation would be 1 is less than or equal to 3-(-4)

(8) Use the information in the diagram to determine the height of the tree. The diagram is not to scale. GEOMETRY

Answers

Answer:

D = 37.5

Step-by-step explanation:

Conner had 354$ and spent 243 cents. How much did conner have left and how many dollars? please help. If you do, then I will tell you a secret.

Answers

Conner: $354 - 243 cents

243 cents = $2.43 because 100 cents = 1 dollar

Conner: $354 - $2.43 = $351.57

$351.57

He has 351 dollars left.

Answer:

354 - 243 = 111

Step-by-step explanation:

300 - 200 = 100

 50 -    40 =   10

   4  -      3  =   1

100  +  10 + 1 = 111

I need help with this math problem

Answers

Answer:

for the first on its a translation or c and for the second one its a reflection D

Step-by-step explanation:

Help plz ASAP , geometry

Answers

Answer:

Step-by-step explanation:

Use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the sides and c is the hypotenuse (longest side)

a^2 + 7^2 = 8^2

a^2 + 49 = 64

a^2=15

Now take the square root of 15 which is about 3.8

solve the following system of equation using elimination 2x+5y=12 -2x+3y=4

Answers

There is an app called photo math it might help you it helps me a lot

Classify the triangles as acute obtuse or right

Answers

Answer:

Acute

Obtuse

Right

Acute

Step-by-step explanation:

To see if a triangle is acute, right, or obtuse, you use something similar to the pythagorean theorem:

Let a and b be the shorter sides, c be the longest side.

If a^2+b^2 > c^2, then the triangle is acute.

If a^2+b^2 = c^2, then the triangle is right.

If a^2+b^2 < c^2, then the triangle is obtuse.

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