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

Plz help me I need help

Answers

I'm not too sure but I think it's option

1. No, because only one angle of the triangle is congruent.

Create an equivalent expression without parentheses

-2(3x+4)

Answers

Answer:

-6x - 8

Step-by-step explanation:

-2(3x+4) = -6x - 8

this means the -6x - 8 is equivalent

Determine whether the sets are equal, equivalent, both, or neither.

{apple, orange, pear} and {pear, apple, orange}

A.Neither


B.Equal


C.Both


D.Equivalent

Answers

B equal because they have a match

Tyler has $4.50 in a bank in his bedroom. Each day he adds $1.50 to it. Which equation can be used to find out how many days it will take for Tyler to save $30.00?

a
4.5 + 1.5x = 30.00
b
(4.5 + 1.5)x = 30.00
c
30.00 + 4.5 = 1.5x
d
4.5 × 1.5 × x = 30.00

Answers

Answer:

A

Step-by-step explanation:

PLEASE HELP ASAP!!!!

Answers

Answer:

The correct Option is Option A

Account B because the principal of Account B is $300 and the principal for Account A is $150

Step-by-step explanation:

Interest earned from Account A = $ 4.50

Interest earned from Account B = $22.50

Time t = 18 months

Interest rate for Account A = 2%

Interest rate for Account B = 5%

We need to find which account has greater principal

The formula used to calculate principal is: [tex]Interest=Principal\times r \times t[/tex]

where r is rate and t is time

Finding Principal for Account A:

Interest earned from Account A = $ 4.50

Time t = 18 months = 1.5 years

Interest rate for Account A = 2% = 0.02

Putting values and finding Principal

[tex]Interest=Principal\times r \times t\\4.50=Principal\times0.02\times1.5\\Principal=\frac{4.50}{0.02\times1.5} \\Principal=\frac{4.50}{0.03} \\Principal=150[/tex]

So, The Principal Amount for Account A = $150

Finding Principal for Account B:

Interest earned from Account B = $ 22.50

Time t = 18 months = 1.5 years

Interest rate for Account A = 5% = 0.05

Putting values and finding Principal

[tex]Interest=Principal\times r \times t\\22.50=Principal\times0.05\times1.5\\Principal=\frac{22.50}{0.05\times1.5} \\Principal=\frac{22.50}{0.075} \\Principal=300[/tex]

So, The Principal Amount for Account B = $300

So, the correct Option is Option A

Account B because the principal of Account B is $300 and the principal for Account A is $150


rosa and her friends are eating out for dinner. the bill was $30.12. they want to leave a 19% tip.
what is her total cost?

Answers

Answer:

35.84

Step-by-step explanation:

You would take 19% of 30.12$ by doing 30.12x0.19 to get 5.72.

you then add 5.72 to 30.12 to get your total of 35.84$

PLEASE HELP!!!!

Which expression is a simplified form of
[tex]3x^{2} - 4x + 5 - x^{2} + 2x - 1[/tex]
[tex]a) \: 2x^{4} - 2x^{2} + 4 \\ b) \: 2x^{4} + 6x^{2} + 4 \\ c) \: 2x^{2} - 2x + 4 \: \: \\ d) \: 4x^{2} - 2x + 4 \: \: [/tex]​

Answers

Answer:  c) 2x² - 2x + 4

Step-by-step explanation:

Determine the equation of the line given by the graph

A) y-3x+2
B) y=3x-2
C) y=1/3x+2
D) y=1/3-2

Answers

Answer:

y=3x-2

Step-by-step explanation:

Solve for m.
94 = 31 + 7m


Answers

Answer:

M = 9

Step-by-step explanation:

94 = 31 + 7m

63 = 7m

9 = m

Hope this helps. Pls give brainliest.

From 83 hours to 76 hours? And is it a increase or decrease?

Answers

Answer:

decrease

Step-by-step explanation:

Answer:

decrease

Step-by-step explanation:

why wont anybody help me i posted like 5 questons but heres the question :(

Answers

Answer:

i got you fam

Step-by-step explanation:

its b fam because the top x value goes by 1 then 2 and the y value goes from 2 to 4  

What is this answer?

Answers

Answer:

X intercepts (-30,0)

Y intercepts (0,-3)

Expand and simplify
(x - 5)(x - 2)

Answers

Answer:

=[tex]x^{2}[/tex]−7x+10

Solve linear equations

Solve for x

3х – 10 = 16

Answers

Answer:

x=26/3

Step-by-step explanation:

3x-10=16

add 10 to both sides

3x=16+10

simplify

3x=26

divide both sides by 3

x=26/3

hi! im quite confused on this. can someone please help me? ill give brainiest if youre correct :)

Answers

Answer:

I believe the answer is D

Step-by-step explanation:

after 3 hours it traveled 120 miles so divide that by the 3 hours and it gives you 40 miles per hour giving you the slope and the y int would be negative 300 because he started 300 miles aways from Denver

Answer:

The answer seems to be D

Step-by-step explanation:

I cannot really confirm but I am most certain it is D.

Helppp ahhhhhhhh. Plzzzz

Answers

Answer:

15-67X/30X

Step-by-step explanation:

Write an explicit formula that represents the sequence defined by the following recursive formula



HELP IM TIMED

Answers

Answer:

The explicit formula is a[tex]_{n}[/tex] = 5 - 6n

Step-by-step explanation:

The explicit formula of the arithmetic sequence of the recursive formula

a[tex]_{1}[/tex] = first term; a[tex]_{n}[/tex] = a[tex]_{n-1}[/tex] + d is a[tex]_{n}[/tex] = a + (n - 1)d, where

a is the first termd is the common difference between each two consecutive termsn is the position of the number

∵ The recursive formula is a[tex]_{1}[/tex] = -1 and a[tex]_{n}[/tex] = a[tex]_{n-1}[/tex] - 6

→ Compare it with the formula above

a = -1 ⇒ 1st term

d = -6 ⇒ common difference

→ Substitute them in the form of the explicit formula

∵ a[tex]_{n}[/tex]  = -1 + (n - 1)(-6)

∴ a[tex]_{n}[/tex] = -1 + (-6)(n) - (-6)(1)

∴ a[tex]_{n}[/tex]  = -1 + -6n - (-6)

∴ a[tex]_{n}[/tex] = -1 - 6n + 6

→ Add the like term

a[tex]_{n}[/tex] = 5 - 6n

The explicit formula is a[tex]_{n}[/tex] = 5 - 6n

Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of the given equation. (4,-3); y=-5x+8

Answers

Answer:

Step-by-step explanation:

The slope of the line is m = -5

4 is your x1

-3 is your y1

Plug into the equation y - y1 = m(x - x1)

y + 3 = -5(x - 4)

y + 3 = -5x + 20

   -3             -3

y = -5x + 17

Pweas help....10 points and brainiest and thznks<3

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
A pair of parallel lines are cut by a transversal as shown in the figure. Identify the types of angles created by the transversal.

corresponding angles

vertical angles

alternate interior angles

alternate exterior angles

adjacent angles




angles F and H

angles D and H


angles E and H


angles B and H

Answers

Answer:

F&H are vertical angles, D&H are corresponding angles, E&H are adjacent angles, and B&H are alternate interior angles.

Step-by-step explanation:

Hope this helps. Tell me if you need and explanation.

Answer: F&H are vertical angles, D&H are corresponding angles, E&H are adjacent angles, and B&H are alternate interior angles.

Step-by-step explanation:

Hope this helps. Tell me if you need and explanation.

2x - 4(x + 1) = 3x
2x - 4x – 4 = 3x
-2x - 4 = 3x
? = ?

Answers

Answer:

-2x-3x=4

-5x=4

x= -4/5

Step-by-step explanation:

To pass a quiz, students need a score of at least 32 points out of a total of 40 points. At least what percent do the students need to pass the quiz

Answers

Answer:

80%

Step-by-step explanation:

Hope this helps :)

.6(2k - 3) = 3(4k + 5)
Hellppp pleaseee

Answers

Answer:

Step-by-step explanation:

.6(2k-3)=3(4k+5) foil

1.2K-1.8=12k+15 subtract 1.5k from both sides

-1.8=10.8k+15 subtract 15 from both sides

-16.8=10.8k divide by 10.8

k= -1.5

I’ll give Brainliest✨

Solve for w

3 - 2w + 4w = 7?

Answers

Answer:

=2

Step-by-step explanation:

Answer:

w= 2

Step-by-step explanation:

3-2w+4w=7. We move all terms to the left: 3-2w+4w-(7)=0,  Then we add all the numbers together, and all the variables: 2w-4=0. After, we move all terms containing w to the left, all other terms to the right: 2w=4, w=4/2

w=2

Does the graph represent a function?

Answers

Step-by-step explanation:

yes dear. .............

the graph does not represent a function because it does not pass the vertical line test

help plsssssssss. cm.

Answers

It is -2.1 cm

Hope this helps

Find the measure of the angle indicated and show work please help I need this soon

Answers

The answer is 120 degrees I hope this helps

helllllllllllllllllllllpppppppppppp meeeeeeeeeeeeee

Answers

Answer: I think the answer is x = 4

Step-by-step explanation: 28 = 7x

                                           /7       /7

                                             4   =  x

Find the distance between the points (7,5) and (7,-3)

Answers

Answer:

its eight on the y axis

Step-by-step explanation:

Jaxon must sell at least 49 rolls of wrapping paper to support the robotics club fundraiser. He has already sold 24 rolls of wrapping paper. Which inequality best represents the number of rolls of wrapping paper Jaxon still needs to sell

Answers

Answer:

x≥25

Step-by-step explanation:

Step one:

given data

Jaxon must sell at least 49 rolls of wrapping paper to support the robotics club fundraiser

We are told that he has already sold 24 rolls of wrapping paper.

Step two:

let x be the number of rolls remaining to be sold,

hence,

x≥49-24

x≥25

Therefore the inequality for the situation is  x≥25

which reads that x must be greater than or equal to 25

Is the equation y=0.07 + 348 proportional or not

Answers

Answer:

no

Step-by-step explanation:

it does not have any (0,0) value

Other Questions
The first step in the performance planning and appraisal process involves? A. Assembling information for the appraisal B. Observing employee job behavior C. Designing the performance plan D. Setting standards and expectations Does the word common have a negative or positive connotation? I NEED THE ANSWER FAST PLZZZ What is the conflict in the following text? Jennifer wanted to win thebeauty contest. Unfortunately, her best friend Alice was also competing.Will Alice and Jennifer's friendship survive the competition?*person vs. natureO person vs. selfO person vs. personO person vs. technology WILL GIVE NRAINEST TO WHOEVER SOLVES IT CORRECTLY AND FASTWhat is a nation-state? (4 points) a A region that is part of a country with citizens from different places b A country ruled by an elected prime minister and a parliament c A kingdom that is part of a union that is led by a senate and president d A geographic area whose citizens have a shared culture and history A 10 N force and an 18 N force act in the same direction on an object. What is the net force on the object? How many hours of activity should portion sizes for meals be enough to sustain for? Which is an example of balanced forces acting on an object? a kangaroo jumpinga car turning a cornera cyclist slowing downa leaf lying on the grass Help Help Help Help please Brainliest if correct Weathering, erosion, and deposition act together in a cycle that wears downand builds up Earth's surface. true or false??? What is the slope of this line? Using the prompt and your knowledge of history, which of these led to expanded trade between East Africa and EastAsia?A)creation of junk shipsB)invention of the compassC)invention of "arabic" numeralsD)greater knowledge of monsoon winds When Americans embraced the idea of Manifest Destiny, they believedthey were destined to discover gold in California.it was their duty to respect American Indians rights.they were destined to colonize more countries.it was their duty to spread democracy. Which of the following redox conditions will produce a spontaneous reaction? A. The voltage of the reduction half-reaction is negative. B. The voltage of the reduction half-reaction is positive. C. The sum of the voltages of the half-reactions is negative. D. The sum of the voltages of the half-reactions is positive. Which one is correct? please hurry 15 POINTS I need helpMany colonies openly resisted colonial rule because itleft them unprotected left them impoverishedkept them leaderlesskept them educated Luisa _______ los regalos lentamente. What was the effect of Operation Torch? Why was it an important strategic victory for the Allies? How many significant digits would you report an answer to if you divided 2.654 by 3.2?answer choices 1234 A supermarket purchases chickens wholesale from a farm for $4 each. The store then marks up the chickens 50%. After 10:00 p.m., the supermarket marks down the price of the chickens by 50% to make sure they all sell before the store closes. Which statements are true about the price of a chicken? Check all that apply.O) The marked up price of a chicken is $6 before 10:00 p.m.O) The 50% markdown is taken off the marked-up price.O) The chickens sell for $4 after 10:00 p.m., because the 50% markup and 50% O) markdown cancel each other out.O) The 50% markdown is taken off the $4 wholesale price. In a compression test, a steel test specimen (modulus of elasticity 30 106 lb/in2 ) has a starting height 2.0 in and diameter 1.5 in. The metal yields (0.2% offset) at a load 140,000 lb. At a load of 260,000 lb, the height has been reduced to 1.6 in. Determine (a) yield strength and (b) fl ow curve parameters (strength coeffi cient and strain-hardening exponent). Assume that the cross-sectional area increases uniformly during the test.