A city planner is mapping out some new features for a triangular park. She sketches the park on grid paper. The coordinates of the vertices of the park are (1, 1), (1, 4), and (−3, 4).   The city planner wants to put a flower bed at the centroid of the park. What are the coordinates of the flower bed? (__,__)​

Answers

Answer 1

Answer:

The coordinates of the flower bed are ([tex]-\frac{1}{3}[/tex] , 3)

Step-by-step explanation:

To find the centroid of a triangle, use this rule centroid = ([tex]\frac{x1+x2+x3}{3},\frac{y1+y2+y3}{3}[/tex]), where (x1, y1), (x2, y2), (x3, y3) are the vertices of the triangle

∵ The vertices of the triangle are (1, 1), (1, 4), (-3, 4)

∴ x1 = 1 and y1 = 1

∴ x2 = 1 and y2 = 4

∴ x3 = -3 and y3 = 4

→ Substitute them in the rule above

∵ Centroid = ([tex]\frac{1+1+-3}{3},\frac{1+4+4}{3}[/tex])

∴ Centroid = ([tex]\frac{-1}{3},\frac{9}{3}[/tex])

∴ Centroid = ([tex]-\frac{1}{3}[/tex] , 3)

The coordinates of the flower bed are ([tex]-\frac{1}{3}[/tex] , 3)


Related Questions

What is the slope of the line 4y = 8x+ 3 ?

Answers

Answer:

[tex]2[/tex]

Step-by-step explanation:

[tex]4y=8x+3[/tex]

To identify the slope of the line, the equation must be in the format [tex]y=mx+b[/tex], in which [tex]m[/tex] is representative of slope.

Begin by dividing both sides of the equation by the coefficient of [tex]y[/tex], which is [tex]4[/tex]:

[tex]y=2x+\frac{3}{4}[/tex]

[tex]m=2[/tex]

Therefore, the slope of the line is 2.

-

You can check your work by graphing, and identifying the "rise over run", of the graph. This can be done by counting the distance from one point your graph to another.

How do i (F)ind the (R)atio in the( E ) probl(E)m ...points

Answers

Answer:

To find the ratio you have to.....

Step-by-step explanation:

That was smooth. Thank you, have a nice day and happy holidays.

Answer:

ty

Step-by-step explanation:

what is the slope of the line

Answers

There is no slope for this line. It’s undefined.

Answer: Undefined

Step-by-step explanation: It is Correct on Khan Academy

In a group of 250 music lovers, 135 of them like folk songs and 150 like modem
songs. By drawing a Venn-diagram, find;
(i) how many people like both the songs?
(ii) How many people like only one song?




Please help me i will mark brainlist ​

Answers

Answer:

i cant make a diagram but here i go.

Step-by-step explanation:

250-135=115

250-150=100

100+115=215

250-215=35

So your answer is that 45 people like both, 115like modern, 100 like folk song, and 35 like both.

A riverbank has been colonized by mink. They are an alien species that attacks local wildlife. The river authority traps and removes the minks. Each year it reduces the number by 60%. What percentage of the mink remain after 4 years?



Answers

Answer:

24%

Step-by-step explanation:

it is easy when you multiply 6 and 4 to know how many minks remain

slope=
1/3; y-intercept = -1

Answers

Answer:

y = 1/3x - 1

Step-by-step explanation:

We can put this information in slope intercept form [ y = mx + b ], where m = slope and b = y-intercept. We are given both the slope and y-intercept so m = 1/3 and b = -1. Put this into the formula; y = 1/3x - 1

Best of Luck!

Please I need helppp

A)the vertex is (0,15)
B)h=2 and k=3
C)h=3 and k=2
D) (2,3) can be used as the extra point
E) the value in the equation is positive
F) the value in the equation is negative

Answers

Answer: ksbddbcxkdbdijc

Step-by-step explanation:

yayayayayayayayayyaya

Answers

Answer:

thank you for points

Step-by-step explanation:

Ned help please ASAP!!!!!

Answers

The answer would be a (not too sure) but it makes a little bit sense

10=95/2+4^2x

Please show step by step, I am having trouble with logarithms.

Answers

Answer:

x = [tex]-\frac{75}{32}[/tex]

Step-by-step explanation:

10 = [tex]\frac{95}{2}[/tex] + [tex]4^{2}[/tex] * x

10 = [tex]\frac{5 * 19 }{2}[/tex] + ([tex]2^{2}[/tex])²x

10 = [tex]\frac{5 * 19 }{2}[/tex] + [tex]2^{2*2}[/tex] * x

x = [tex]-\frac{75}{32}[/tex]

Find the volume of the prism, using a calculator if necessary.
4 cm
9 cm
5 cm
5 cm
12 cm

Answers

Answer:

where is the drawing l don't understand the measurements

Plz help I make u brainliest

Answers

Answer:

1. you got it dude

Step-by-step explanation:

..............

Answer:i believe the answer is 23

What's $33.99 rounded to the nearest $1, $5 and $10

Answers

Answer:

Nearest $1: $34

Nearest $5: $35

Nearest $10: $30

Answer:

rounded to the nearest one is $40

Step-by-step explanation:

Can someone really help me please!

Answers

Step-by-step explanation:

The formula for area of a rectangle is A= length times width. They gave you the area of the entire rectangle. But because this is a shape with a cutout, you still need the area of the missing section.

A= 1*4 = 4 units

Now subtract that from 49.

A=49 - 4= 45 square units

Answer:

49-4 = 45

Step-by-step explanation:

hope it helps

.......

PLEASE HELP!

Estimate 132% of 42

Answers

Answer:

55.44 i believe

Step-by-step explanation:

A bag of marbles contains 5 red marbles, 5 green marbles, 5 yellow marbles and 5 blue marbles. If Mya takes one marble at a time at random, what is the probability that she takes out a red marble the first time and a green marble the second?

Answers

Answer:

The probability that she takes out a red marble the first time and a green marble the second

P(E₁ ∩ E₂ ) = P(E₁) P(E₂)

                [tex]= \frac{5 X 5}{20} = \frac{25}{20} = \frac{5}{4} ways[/tex]

Step-by-step explanation:

Step(i):-

Given a bag of marbles contains 5 red marbles, 5 green marbles, 5 yellow marbles and 5 blue marbles

Total balls n(S) = 5red +5green +5yellow + 5blue  =  20

Total numbers cases

                         n(S) = 20C₁ = 20 ways

Step(ii):-

Let E₁ be the event of drawing one red marble from 5 red balls

                       n(E₁) = 5C₁

Let E₂ be the event of drawing one green marble from 5 green balls

                       n(E₂) = 5C₁

The two events are independent events

P(E₁ ∩ E₂ ) = P(E₁) P(E₂)

                =[tex]= \frac{5 X 5}{20} = \frac{25}{20} = \frac{5}{4} ways[/tex]

Final answer:-

 The probability that she takes out a red marble the first time and a green marble the second

P(E₁ ∩ E₂ ) = P(E₁) P(E₂)

                =[tex]= \frac{5 X 5}{20} = \frac{25}{20} = \frac{5}{4} ways[/tex]

1 Evaluate the expression 2a + b - 3 when a=5 and b=2. Please click on "show your work" to set up the problem and show your work. Then, enter your answer in the box to the right. You must complete both of these steps.

Answers

Answer:

9

Step-by-step explanation:

From the question,

We are to evaluate the expression : 2a + b - 3 when a=5 and b=2.

We substitute 5 for a and 2 for b in the given expression

2a + b - 3

= 2(5) + 2 - 3

= 10 + 2 - 3

= 12 - 3

= 9

HELPPPP PLZ !..
Find the distance from C to G.

Answers

Answer:

3/64

Step-by-step explanation:

The distance from C to G is 32 units and this can be determined by using the properties of the circumcenter of a triangle.

Given :

AG = 4x + 16

BG = 10x - 8

The following steps can be used in order to determine the distance from C to G:

Step 1 - Remember in the given diagram G is the circumcenter because all the perpendicular bisector intersects at point G.

Step 2 - Now, if G is the circumcenter then:

AG = BG = CG

Step 3 - Now, substitute the value of AG and BG in the above expression.

4x + 16 = 10x - 8

24 = 6x

x = 4

Step 4 - Now, use the relation BG = CG in order to determine the value of CG.

10(4) - 8 = CG

CG = 32

For more information, refer to the link given below:

https://brainly.com/question/22051318

PLEASE HELP! MATH! ​

Answers

t = 12r/(r+120)

t(r+120) = 120r

tr+120t = 120r

tr-120r = -120t

r(t-120) = -120t

r = -120t/(t-120)

r = 120t/(120-t)

HELP PLEASE! IT"S DUE IN 5 MINUTES!!!

Answers

Answer: where’s the question??

Step-by-step explanation:

Answer:

what do you need help with??

Step-by-step explanation:

If A. Acute
B. Obtuse
C. Right
D. Straight

Answers

Answer:

This question does not make sense. Is their an image that needs to be included?

Step-by-step explanation:

Answer:

Angle EAT is acute

Step-by-step explanation:

August is making dinner for 8 people. She opens 7 cans of soup. Each can is 16 ounces. If everyone gets the same amount of soup, how much soup will each person get?

This is for my sister, and her teacher said that the correct answer is 3.5 ounces. If anyone gets this answer, please show how you got the answer...thank you!

Answers

Answer:

14oz soup/ person

Step-by-step explanation:

the answer would be 14oz of soup/person

multiply 7 (cans of soup) by 16 (oz per can)

7*16=112

divide 112 (oz of soup total) by 8 (number of people feeding)

112/8=14

Maria's dinner bill is $21.89 after tax. If she wants to leave 15% tip, what will the total cost of the dinner be

Answers

Answer:

24.56

Step-by-step explanation:

(11 BRAINLY POINTS!!) Which of the following numbers can be expressed as a decimal that terminates?
3 over 2 comma space 2 over 3 comma space 3 over 4 comma space 5 over 7
A.
3 over 2 and space 2 over 3
B.
3 over 4 and space 5 over 7
C.
3 over 2 and space 3 over 4
D.
2 over 3 and space 5 over 7

Answers

Answer:

I believe that it is b

Step-by-step explanation:

But correct me if i am wrong! Have a nice day!

Answer:

B. ) 3 over 4 and space 5 over 7

Step-by-step explanation:

-4x-4=12. Solve the two-step equation with the method of your choice. Show your work AND check for full credit

Answers

Answer:

−4x−4=12

Step 1: Add 4 to both sides.

−4x−4+4=12+4

−4x=16

Step 2: Divide both sides by -4.

−4x = 16

−4 −4

x=−4

Answer:

x=−4

You borrow $7,000 from the Overton Credit Union to buy a used car. The credit union charges 6% interest, compounded monthly for 5 years. What’s the total amount you will have to pay back for this loan?

A= P(1+r/n) ^nt
A=Total amount after
P=Initial
r=percent rate as a decimal
n=number of times per year
t=time in years
O $7,431.74
O $9,441.95
O $9,367.58
O $9,380.67

Answers

Answer: 9441.95

P=7000
r=0.06
m=12
t=5
n=12(5)=60
Substitute into formula

Please answer and explain please asap​

Answers

Answer:

Step-by-step explanation: This is going to be a long one. In order to find slope you need the formula which is m=y2-y1/x2-x1. Basically what this means is you have to look on each of those graphs and find the points. I’ll do number one as an example. The points are located at (2,1) and (0,-3). Plug these in into your formula as such. M= (-3 - 1) / (0 - 2) which equals 2. If you have questions let me know

4(y-9)
brainlist question

Answers

Answer:

4y-36

Step-by-step explanation:

you distribute the 4 to y and 9

(4 x y) - ( 4 x 9)

4y - 36

92% of x PLEASE ITS FOR A POP QUIZZ!

Answers

Answer:?

Step-by-step explanation:

If 2+3i is a zero of a polynomial function, then______is also a zero

Answers

Yes because yes because why not yes
Other Questions
what is -4 (-6x + 3) = 12 HELPPPPPP ASAPPPPPPPP HELPPPP What is the percent of change from 5,000 to 9,000? How did physical geography affect the outcome of the Battle of Coleto?The open prairie allowed the Mexican army to surround Fannin and his men.The dense forest provided protection for Fannin and his men from Mexican soldiers.The deep canyon allowed the Mexican army to attack Fannin and his men from above.The rolling valleys acted as a barrier when Fannin and his men tried to escape the fighting. why did Americans oppose the war in the philippines? What is the slope of the line? Name three opportunities that would be available when moving from a rural area to an urban area. Would anyone happen to know this ?! What is the slope of a ski run that rises 5 feet for every horizontal change of 20 feet? Pls show work c. What might have happened in Kush and Egypt if Kush had developed ironweapons? Please helpAs the temperature increases, the molecular motion of the molecules decreases and itbecomes difficult to overcome the polar attractions.a. TRUEb. FALSE the temperature at 4 p.m. was -2 c an hour later the temperature had decreased 3c what was the temperature at 5:00 pm ? 12. What impact did Harry Burn have on the ratificationof women's suffrage in Tennessee's General Assembly? You must find the tickets soon At a sports event, Luke scored 8.65 points. Mel scored 9.2 points. How many more points did Mel score than Luke? * PLZ HELP What are the Reactants of Respiration? aWater and sunlight bCarbon dioxide and Sunlight cFood and Oxygen dCarbon dioxide and water Plz helpA candle burning is an example ofA. an endothermic changeB. a physical changeC. energy being taken inD. an exothermic change Assume the clock for a 4-bit binary counter is 80 kHz. The output frequency of the fourth stage (Q3) is (0,0)M is the midpoint of CD. If the midpoint Mis (-3, 5) and C is (2,3), then what are thecoordinates of D?O(-1/2,4)(-8,7)o(-4,1) Abel Alonzo, Director of Human Resources, is exploring employee absenteeism at the Harrison Haulers Plant. Abel knows that absenteeism varies significantly between departments. For example, workers in the wood shop are absent more than those in the tuning department and the size of the departments ranges from 40 to 120 workers. He orders a random sample of 10 workers from each of the six departments. Abel's sample is a