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'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:

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

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

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

-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

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:

Plz help I make u brainliest

Answers

Answer:

1. you got it dude

Step-by-step explanation:

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

Answer:i believe the answer is 23

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

.......

(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:

yayayayayayayayayyaya

Answers

Answer:

thank you for points

Step-by-step explanation:

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:

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!

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

Answers

Yes because yes because why not yes

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]

92% of x PLEASE ITS FOR A POP QUIZZ!

Answers

Answer:?

Step-by-step explanation:

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

Ned help please ASAP!!!!!

Answers

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

PLEASE HELP!

Estimate 132% of 42

Answers

Answer:

55.44 i believe

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

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

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.

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)

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

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

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:

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]

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.

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

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:

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:

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