The coordinates of three vertices of a square are (1, –1), (6, –1), and (6, 4). Fill in each blank to make the statement true. What is the area of the square?

Answers

Answer 1

Answer:

25units²

Step-by-step explanation:

Given the coordinates of three vertices of a square as A(1, –1), B(6, –1), and C(6, 4). The area of the square is expressed as;

A = L² where;

L is the one of the side length of the square.

Note that all the sides of a square are equal;

To get one of the side length, we will find the distance between any two of the coordinates points. Using the coordinates A(1, –1), B(6, –1)

L = AB = √(x2-x1)²+(y2-y1)²

L = √(6-1)²+(-1-(-1))²

L = √5²+0²

L = √25

L = 5

Area of the square = 5²

Area of the square = 25units²

Hence the area of the square is 25units²


Related Questions

What is the value of the expression below?
8 *divide* 2 + 6x5

Answers

Answer:

34

Step-by-step explanation:

8/2 = 4

6 times 5 = 30

30 + 4 = 34

(50 points) Use the spinner below. Show your work, making sure to simplify your answers. (Note: The smallest section of the circle is 1/16 of the circle.)

16. What is P(red, yellow, blue)?

17. What is P(orange, yellow)?

18. P(green, blue, purple)?

19. P(pink)?

20. P(red, orange, yellow, green, blue, purple)?

Thank you!!

Answers

Answer:

I have the same questions and I got them right

Step-by-step explanation:

16. What is P(red, yellow, blue)?

P(red, yellow, blue)=  6/16= 3/8.

4/16+ 1/16+ 1/16= 6/16= 3/8

17. What is P(orange, yellow)?

P(orange, yellow)= 1/8

1/16+1/16= 2/16= 1/8

18. P(green, blue, purple)?

P(green, blue, purple)= 5/8

7/16+1/16+2/16= 10/16= 5/8.

19. P(pink)?

P(pink)=0

There is no pink color.

20. P(red, orange, yellow, green, blue, purple)?

P(red, orange, yellow, green, blue, purple)= 16/16= 1.

4/16+ 1/16+ 1/16+ 7/16+1/16+2/16 =16/16= 1.

Hope it helps!!!

Evaluate: 5m when m=8
FAST AND HURRY!!

Answers

Answer:

40

Step-by-step explanation:

If m = 8, then you would multiply 5 by 8

So the answer is 40

Hope this helps :)

Answer:

5m when m = 8 is 40

Step-by-step explanation:

When you substitute (replace) m with 8, it becomes 5(8).

5(8) means 5 multiplied by 8, which gives you 40.

To check, dividing 40 by 5 is 8. Dividing 40 by 8 is 5.

Hope this helped! :)

(-2)^3=

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

Answers

Answer:

[tex]\left(-2\right)^3=-8[/tex]

Step-by-step explanation:

Given the expression

[tex](-2)^3[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=-a^n,\:\quad \mathrm{if\:}n\mathrm{\:is\:odd}[/tex]

[tex]\left(-2\right)^3=-2^3[/tex]

[tex]=-2^3[/tex]

[tex]=-8[/tex]       ∵  [tex]2^3=8[/tex]

Therefore,

[tex]\left(-2\right)^3=-8[/tex]

A news report says that 9% of middle school students are on the track team. There are 600 students in your middle school How many students in your school would you expect to be on the track team? HE Pad SATTE BAR HG West nus SAUNA w 1​

Answers

Answer: 54

9% of 600 would be 54.

Find the measures of ∠B and ∠C given that m∠B=(2.5x+6)∘ and m∠C=(7x−12)∘.

The figure shows triangle A B C. Side A B is congruent to side A C.


answers are one of the following
∠B = 4° and ∠C = 4°
∠B = 16° and ∠C = 16°
∠B = 20° and ∠C = 20°

Answers

Answer:

since AB=AC it is an isosceles triangle so ...

Step-by-step explanation:

angle B = angle C

2.5x + 6 = 7x - 12

4.5x = 18

therefore x = 4

substituting the value of x we get answer

angle B = 16

angle C = 16

Nadia charges $5.50 an hour for babysitting. She babysits 19.50 hours the first week of the month and 19 hours the second week of the month. Suppose Nadia raises her rate by $0.55 an hour. How many hours would she need to work to earn the same amount of money she made in the first two weeks of the month? Complete the explanation and give your answer. Nadia's new hourly rate is $ . She would need to work hours in the next two weeks to make the same amount she made in the first two weeks.

Answers

Answer:

Step-by-step explanation:

ind her earnings for the first two weeks of the month at the $5.50 an hour rate.

5.50 × (18 + 20.50) = 5.50 × 38.5  

= 211.75  

She earned $211.75 the first two weeks of the month.

Find her new hourly rate, if she raises her rate by $0.55.

5.50 + 0.55 = 6.05  

Her new hourly rate is $6.05.

Find how many hours she would need to work at $6.05 an hour in order to earn $211.75.

211.75 ÷ 6.05 = 35  

She would need to work 35 hours.

4x²-6xy
PLZ
HELP
I
GIVE
5
STARS

Answers

yep I get the same thing what the other person is right

Find the slope of the line passing through the points (6, 1) and (6,-6).

Answers

Answer:

Slope = undefined

Step-by-step explanation:

Slope = (y2 - y1)/(x2 - x1)

(6, 1)

(6, -6)

1 - (-6)/6 - 6= 7/0

Slope = undefined

For reference:

0/x = 0

x/0 = undefined

Hope this helps!

A regular dodecagon (12 sided polygon) is rotated n degrees about it's center, carrying the dodecagon onto itself. What is the minimum number of degrees it must be rotated to carry the dodecagon onto itself? *
A. 30 degrees
B. 15 degrees
C. 60 degrees
D. 90 degrees
Which one?

Answers

Answer:

30 degrees

Step-by-step explanation:

Kyle plans to make 15 hamburger patties, each weighing 14 pound, for a cookout. At the store, hamburger meat is priced at $3.66 per pound. If Kyle orders the exact amount of meat he needs, how much will it cost, rounded to the nearest cent?

Answers

Answer:

Total cost= $768.66

Step-by-step explanation:

Giving the following information:

Production= 15 units

Standard quantity= 14 pounds per unit

Standard cost= $3.66 per pound

First, we need to calculate the total pounds required to make the hamburgers:

Total pounds= 14*15

Total pounds= 210 pounds

Now, the total cost:

Total cost= 210*3.66

Total cost= $768.66

between 2002 and 2008, more than 26 cubic miles of groundwater disappeared. how much water has disappeared per year

Answers

Answer: Approximately 4.333 cubic miles

Explanation:

2008 - 2002 = 6 years have passed

In that time frame, we lost 26 cubic miles of ground water.

This means we lost about 26/6 = 4.333 cubic miles of ground water per year.

Find the measure of angles 1,2 and 3

Answers

Answer:

1-75    2-105    3-35

Step-by-step explanation:

1-  180-75-30=75

2-  180-75=105

3-   180-105-40=35

A certain company reported selling 5,000 toys during the month of January and expects sales to grow at a rate of 7.5% per month until the end of that year. How many toys should the company expect to sell by the end of June of that year?

Answers

Answer:

Answer is 36,220

Step-by-step explanation:

a) Describe the congruence shortcut (postulate/theorem) that could be used to prove that ΔABC≅ΔDEF


b) Explain which parts are congruent in this triangle that applies to the postulate that you chose (naming order matters).(HW)

Answers

Answer:

A. By the Side-Side-Side (SSS) Congruence Theorem, ΔABC ≅ ΔDEF.

B. [tex] \overline{AB} \cong \overline{DE} [/tex]

[tex] \overline{BC} \cong \overline{EF} [/tex]

[tex] \overline{AC} \cong \overline{DF} [/tex]

Step-by-step explanation:

a. From the diagram given, it shows that all three sides of ∆ABC are congruent to all the three corresponding sides of ∆DEF.

Therefore, by the Side-Side-Side (SSS) Congruence Theorem, ΔABC ≅ ΔDEF.

b. The sides that are congruent in the ∆s given that applies to the SSS Congruence Theorem are:

[tex] \overline{AB} \cong \overline{DE} [/tex]

[tex] \overline{BC} \cong \overline{EF} [/tex]

[tex] \overline{AC} \cong \overline{DF} [/tex]

A fruit punch recipe call for 30 cups of orange juice and 18 cups of pineapple juice. If you only have 1 cup of orange juice, how many cups of pineapple should you use.

Answers

Answer:

You should use 0.6 cups of pineapple juice if you only have 1 cup of orange juice.

Step-by-step explanation:

With the information provided about the recipe, you can use a rule of three to find the cups of pineapple you should use if you only have 1 cup of orange juice given that the recipe calls for 30 cups of orange juice and 18 cups of pineapple juice:

30 cups of orange juice → 18 cups of pineapple juice

 1 cup of orange juice    →                    x

x=(1*18)/30=0.6 cups of pineapple juice

According to this, the answer is that you should use 0.6 cups of pineapple juice if you only have 1 cup of orange juice.

Vincent is selling candy bars to raise money for his soccer team. He started with a full box of 20 candy bars and has sold
3
10
of them so far. If each candy bar costs $1.25, how much money has Vincent raised?

Answers

We conclude that Vincent has raised a total of $7.50

how much money has Vincent raised?

We know that initially, he has 20 candy bars.

He sells 3/10 of that total number, so the number of candy bars sold is:

N = (3/10)*20 = 6 candy bars.

And sells each for $1.25, so the total amount that has Vincent raised is:

R = 6*$1.25 = $7.5

We conclude that Vincent has raised a total of $7.50

If you want to learn more about fractions:

https://brainly.com/question/11562149

#SP1

BRAINLY ANNND POINTS FOR RIGHT ANSWER AND STEP BY STEP

3r+4=qr-5p for r

Answers

Answer:

r = qr - 5p - 4

Step-by-step explanation:

3r + 4 = qr - 5p

Subtract:

3r = qr - 5p - 4

Divide:

r = qr - 5p - 4

factor 7x+35 PLEASE HELP

Answers

Answer:

7(x+5)

Step-by-step explanation:

The greatest common factor is 7

7*x + 7*5

Factor out the 7

7(x+5)

7(x+35) is the answer I think

Jordan created a scale drawing of a rectangular room. The drawing is 8 inches long by 6 inches wide. He used a scale of 1 inch equals 3 ft. What is the area, in the square feet, of the room?

Answers

Answer: 432 ft^2

Step-by-step explanation:

If 1"=3', and the box is 8"x6", then we can simply multiply the 8 and 6 by three. You would get 24 by 18.

Follow this up by the equation a=w*l to get

a=24*18 = 432 ft^2.

Given the following sequence and an-1 = 12, what is an?
2, 7, 12, 17,...

Answers

Answer:

12

Step-by-step explanation:

[tex]a_{n-1}=12\\\\

Plug\: n = n + 1\\\\

a_{n+1-1}=12\\\\

\huge \red {\boxed {a_{n}=12}} \\\\[/tex]

Ryan conducted a 6 day study observing the effects of an organic plant food on the growth of his sprouting bean plant. He tracked these two pieces of info:

1. The amount of plant food remaining in the container after each days study.

2. The height of the plant over time.

Ryan found that the amount of plant food remaining decreased an equal amount each day. He used the entire 72 millimeters by the end of his study. Question

Determine the domain and the range for this relationship.


0≤y ≤6


0 ≤x ≤72


{0, 12, 24, 36, 48, 60, 72}


0 ≤x ≤6


{0,1,2,3,4,5,6}


{0,6,12,18,24,30}


0 ≤y ≤72

Answers

Answer:

Domain: [tex]0\leq x\leq 6[/tex]

Range: [tex]\{0, 12, 24, 36, 48, 60, 72\}[/tex]

Step-by-step explanation:

Let [tex]y[/tex] or [tex]f(x)[/tex] be equal to the amount of plant food that remains after each day.

[tex]x[/tex] be the number of days that have passed.

Total amount of plant food used is 72 mm.

Number of days the experiment goes on is 6 days.

Plant food used each day is [tex]\dfrac{72}{6}=12\ \text{mm}[/tex].

So, the function will be

[tex]y=f(x)=72-12x[/tex]

at

[tex]x=0,y=72[/tex]

[tex]x=1,y=72-12\times 1=60[/tex]

[tex]x=2,y=72-12\times 2=48[/tex]

[tex]x=3,72-12\times 3=36[/tex]

[tex]x=4,72-12\times 4=24[/tex]

[tex]x=5,72-12\times 5=12[/tex]

[tex]x=6,72-12\times 6=0[/tex]

Value of [tex]x[/tex] is the domain which is [tex]0\leq x\leq 6[/tex].

Value of [tex]y=f(x)[/tex] is the range which is [tex]\{0, 12, 24, 36, 48, 60, 72\}[/tex].

Which of the following statements best describes the location of -(-6) on a number liner

A. It is 6 units to the left of 0.

B. It is 6 units to the night 6.

C. It is 6 units to the right of 0.

D. It is 6 units to the left of 6.​

Answers

The answer is A!!!!!!
Answer:
C. It is 6 units to the right of 0.

Explanation:
-(-6) can be rewritten as 6 because two negatives next two each other make a positive. 6 is 6 units to the right of 0, so therefore, -(-6) is also 6 units to the right of 0.

I hope this helps!

What’s the surface area of 200 square inches ?

Answers

Answer:

5.77in

Step-by-step explanation:

A cube has 6 square faces, so each face would have area 200 sq in/6=33.33 sq in

Since the area of each face equals the square of the sides, the edge of the cube would be sqrt%2833.33sq+in%29= approx. 5.77 in

Help!! I will mark brainiest!!

Answers

Answer:

b = 148.5052112

Step-by-step explanation:

To find the value of b we will use the trigonometry functions

∵ The triangle is a right triangle

∵ The measure of one of its acute angles = 68°

∵ The length of the side opposite to the angle of measure 68° is b

∴ The opposite side = b

∵ The length of the side adjacent to the angle of measure 68° is 60

∴ The adjacent side = 60

∵ The function tan(x) = [tex]\frac{opposite}{adjacent}[/tex]

∴ tan(68°) = [tex]\frac{b}{60}[/tex]

→ Multiply both sides by 60 to cancel the denominator of the right side

∴ 60 × tan(68°) = b

∴ 148.5052112 = b

b = 148.5052112

Answer:

b = 148.5052112

Step-by-step explanation:

why is sin(90 degrees) = 1. I know that that is the answer you get when you plug it into a calculator. I need an explanation as to why it equals 1

Answers

Answer:

Sin 90 = 1/1 = 1

Use trigonometry formula and a triangle with lengths of 1

Luke called a repairman to fix the furnace at his cabin. The repairman charged $35 per hour plus a fee of $25 for the service call, as represented by the expression in the box.

(THE EXPRESSION IN THE BOX IS "35x + 25")

In the expression, what is represented by the variable x?

A) the number of hours it took the repairman to fix the furnace.

B) the distance in miles from the repairman's shop to Luke's cabin.

C) the number of service calls made by the repairman to Luke's cabin.

D) the total amount in dollars that Luke paid to have the furnace repaired.

(I need the answer ASAP)

Answers

Answer:

The answer is A.

Step-by-step explanation:

To find the value you have to know how many hours the repairman took to repair. Then after you find how many hours he took multiply the hours by 35 than add 25.

So the equation would look like  35x hr+25 =

hr=hours

QUICK I REALLY NEED HELP

When playing a game, Noahs last 5 points in the last 3 turns. show how to use integers to determine the change in his score​

Answers

Answer:

-5

Step-by-step explanation: Yeah i think its -5

Can someone please tell me if the following relations are functions please?

Answers

yes the first one is a function. The second one with the arrows is not.

It's math Question i need Your help---)​

Answers

Answer:

1no

125

2no

12.9

hope that this will help u

Other Questions
Maria needs to be at the airport terminal at 15:20. It will take 2 hours todrive to the airport from her home, and a further 30 minutes to park and getto the terminal.What is the latest time she should leave home?Giveyour answer as a time in the 24-hour clock. Tell me a fun fact about horses will give BRAINLIEST to whoever tells me something I dont know (I have been riding for 12 years) so I know a lot of things (also dont tell me they can sleep standing up I already know that its kinda obvious) Which shapes have parallel sides? Choose ALL the correct answers. There are 76 people signed up for a speedboat tour. Each speedboat can transfer 9 people. How many speedboats will be needed for the people who signed up? Which of the followingmen were responsiblefor lighting lanterns inthe Old North Churchto warn that the Britishwere coming?A. William Penn and Johnathan WinthropB. John Adams and Thomas JeffersonC. Robert Newman and John Pulling Jr. Why is GNI per capita a better measure of standard of living than GDP? A. GNI per capita reflects all of the income within the economy. B. GNI per capita indicates how much each person makes on average. C. GNI per capita represents the value of goods and services in the economy. D. GNI per capita reflects the total market value of goods and services in the economy. Summarize the ways through which sales and operations planning can be integrated. Then, extend your findings to additional supply chain management processes that you feel could be better integrated. Which two (or more) processes did you integrate? Why and how? What is the primary function ofvesicles?A. To make proteinsB. To make energy (ATP)C. To make the rough ER rougherD. To transport proteins andother substances Which word would the author most likely use to make the work of the soldiers seem more positive? -10-2r=-3r-7+r how many solutions does this equation have will mark brainlest What does it mean to colonize a new region? Why would countries want to colonize? Please help me, i have an essay and its due tomorrow. Basically i have to write a blurb (the summary of the book in the back text). it needs to be 150 words, so please be creative. Dont copy it from google. Thanks so much it really means alot, this will affect my apply to college. Choose the correct pronoun.The teacher told ____students that we had won the game.uswe plz helpSimplify:- 1.2+15.45 BRAINLIEST! Please help me answer the following questions:1) How do you find the valency of an element?2) How do you determine if an element is nuetral/an isotope/ or an ion?If you could help with 1 or both questions I would really appreciate it :) Please help me I will give you the brain thing and extra points. image belowThe scatter plot shows the relationship between the number of car accidents in a month and the number of drivers attending a program on distracted driving. The equation represents the linear model for this data.y=0.0067x+17What does the number 17 in the equation mean in this context?A.The number of accidents decreases by 17 for every 100 drivers in the program.B.For every 100 drivers in the program, there are 17 accidents per month.C.There were 17 drivers in the program when it started.D.There were 17 accidents per month when there were no drivers in the program.E.There were no accidents per month when there were 17 drivers in the program. (RI.2.4) Read paragraph 17 below: But you young people must do one thing, and I know you have heard this story a thousand times from your mothers and fathers, like I did from my mama. I didnt take her advice. But I accomplished the same in another fashion. You must get an education. You must go to school, and you must learn to protect yourself. And you must learn to protect yourself with the pen, and not the gun. Then you can answer them, and I can tell youand I dont want to sound cornybut friends, the pen really is mightier than the sword What is the meaning of the phrase the pen is mightier than the sword as it is used in the text? Group of answer choices Education is the solution to racism. Physical violence is not effective against racism. Writing letters to government officials is the best way to combat racism. Communication is more effective against racism than physical violence. 3(10 - x) = 2130 -2130 - 3x= 21- 3x- 3x-9=X = Qu te gusta ms, escuchar msica ____ leer? Compare physical change and chemical change in terms of the arrangement of the particles and the changes in number of atoms or types of atoms?