A rectangle has vertices located at (–4, 4), (2, 4), (2, –4) and (–4, –4). What is the length of a diagonal of the rectangle?

Answers

Answer 1

Answer:

A diagonal of this rectangle has length 10.

Step-by-step explanation:

The vertices (-4, 4) and (-4, -4) have the same x-coordinate (-4) and different y-coordinates (4 and -4).  These two points are the endpoints of a vertical side of the rectangle which has length 4 - (-4) = 8.

Similarly, the vertices (2, -4) and (-4, -4) have the same y-coordinate (-4) but different x-coordinates (2 and -4).  To find the horizontal dimension of the rectangle, we calculate 2 - (-4), which comes out to 6.

Thus, the width of the rectangle is 6 and the length is 8.

Using the Pythagorean Theorem, we find the length of a diagonal as follows:

d = √(6^2 + 8^2) = √(36 + 64) = √100 = 10.

A diagonal of this rectangle has length 10.


Related Questions

If P the incenter of triangle JKL, find MP.

Answers

9514 1404 393

Answer:

  MP = 38

Step-by-step explanation:

Each of the lengths MP, NP, OP is the radius of the incircle, so they are all congruent.

  3x +14 = 9x -34

  48 = 6x . . . . . . . . . . . . . . add 34-3x to both sides

  24 = 3x . . . . . . . . . . . . . . divide by 2 (we don't need x; we need 3x or 9x)

  NP = 3x +14 = 24 +14 = 38

  NP = OP = MP = 38

Does this triangle have a hypotenuse about 39 feet long

Answers

Answer:

hypotenuse is about 33 ft long

Step-by-step explanation:

a^2+b^2=c^2

a= 30

b=14

30^2+14^2= 1096 =c^2

[tex]\sqrt{1096}[/tex]=c

33.1=c

hypotenuse is about 33 ft long

Answer:

No, the Hypotenuse is 33.11

Step-by-step explanation:

The formula for finding a hypotenuse is:

[tex]\sqrt{x^2+y^2}[/tex]

x=30 and y=14 here

[tex]x^2=900[/tex]

[tex]y^2=196[/tex]

[tex]x^2+y^2= 1,096[/tex]

[tex]\sqrt{1,096} = 33.11[/tex]

So it would be about 33, not 39

I need help on this and the person who answer this correctly gets a BRANLIST(answer if you know)​

Answers

Answer:

-28.84

Step-by-step explanation:

-6π - 10

-6(3.14) - 10

-18.84 - 10

-28.84

Answer:

− 28.85

Step-by-step explanation:

Patrick can make 185 tacos in 2 hours. How many tacos can he make in one hour?

Answers

Answer:

92.5

Step-by-step explanation:

92 and 1/2 - you divide how many times 2 goes into 185

Hey guys I need help; will mark brainliest

The radius of a truck tire is 11 inches. Approximately how far will the truck have traveled after 3 rotations of these tires? Use 3.14 for . Round to the nearest tenth.

Answers

Answer:

207.2in

Step-by-step explanation:

Hey There!

So to solve this problem we need to find the circumference of the circle and multiply that by 3 because that is how many rotations the tire would have made

C=2πr

where r = radius

Now we plug in the values

C=2(3.14)11

3.14*2=6.28

6.28*11=69.08

So one full rotation would have traveled 69.08 inches

Now we have to multiply that by 3 becasue they want us to find the distance traveled after three rotations

3*69.08=207.24

Now we round to the nearest tenth

so after 3 rotations the truck will have traveled 207.2in

6. Peter is standing next to a flagpole and wants to
know how tall it is. Peter knows that he is 5'6" tall,
and that his shadow is 3'3" long. If the flagpole's
shadow is 9'9" long, how tall is the flagpole?

Answers

Answer:

11'12

Step-by-step explanation:

so peter is 5'6, and his shadow is 3'3, which means that its subtracted by 2'3, therfore the flagpole is 11'12, hope this helps :)

State if the triangles in each pair are similar. If so, complete the similarity statement.

Answers

Answer:

B

Step-by-step explanation:

Set up a proportion and see if it is true:

[tex]\frac{12}{8} =\frac{27}{18} \\\frac{3}{2} =\frac{3}{2}[/tex]

True, so they are similar.

The similarity statement would be QRS ~ QED

So B is the answer

The projected population of Tennessee in 2030 is
about 5x5.9^8. Predict the average number of people
per square mile in Tennessee in 2030. Land area: about 5.9^6

Answers

Answer:

Population  

Population estimates, July 1, 2019, (V2019) 6,829,174

Population estimates base, April 1, 2010, (V2019) 6,346,276

Population, percent change - April 1, 2010 (estimates base) to July 1, 2019, (V2019) 7.6%

Population, Census, April 1, 2010 6,346,105

Age and Sex  

Persons under 5 years, percent 6.0%

Persons under 18 years, percent 22.1%

Persons 65 years and over, percent 16.7%

Female persons, percent 51.2%

Race and Hispanic Origin  

White alone, percent 78.4%

Black or African American alone, percent(a) 17.1%

American Indian and Alaska Native alone, percent(a) 0.5%

Asian alone, percent(a) 2.0%

Native Hawaiian and Other Pacific Islander alone, percent(a) 0.1%

Two or More Races, percent 2.0%

Hispanic or Latino, percent(b) 5.7%

White alone, not Hispanic or Latino, percent 73.5%

Population Characteristics  

Veterans, 2015-2019 431,274

Foreign born persons, percent, 2015-2019 5.1%

Housing  

Housing units, July 1, 2019, (V2019) 3,028,213

Owner-occupied housing unit rate, 2015-2019 66.3%

Median value of owner-occupied housing units, 2015-2019 $167,200

Median selected monthly owner costs -with a mortgage, 2015-2019 $1,244

Median selected monthly owner costs -without a mortgage, 2015-2019 $388

Median gross rent, 2015-2019 $869

Building permits, 2019 41,361

Families & Living Arrangements  

Households, 2015-2019 2,597,292

Persons per household, 2015-2019 2.52

Living in same house 1 year ago, percent of persons age 1 year+, 2015-2019 85.5%

Language other than English spoken at home, percent of persons age 5 years+, 2015-2019 7.2%

Computer and Internet Use  

Households with a computer, percent, 2015-2019 87.1%

Households with a broadband Internet subscription, percent, 2015-2019 78.4%

Education  

High school graduate or higher, percent of persons age 25 years+, 2015-2019 87.5%

Bachelor's degree or higher, percent of persons age 25 years+, 2015-2019 27.3%

Health  

With a disability, under age 65 years, percent, 2015-2019 11.0%

Persons without health insurance, under age 65 years, percent 12.1%

Economy  

In civilian labor force, total, percent of population age 16 years+, 2015-2019 61.0%

In civilian labor force, female, percent of population age 16 years+, 2015-2019 56.6%

Total accommodation and food services sales, 2012 ($1,000)(c) 12,499,013

Total health care and social assistance receipts/revenue, 2012 ($1,000)(c) 42,383,683

Total manufacturers shipments, 2012 ($1,000)(c) 139,960,482

Total merchant wholesaler sales, 2012 ($1,000)(c) 111,718,421

Total retail sales, 2012 ($1,000)(c) 91,641,605

Total retail sales per capita, 2012(c) $14,194

Transportation  

Mean travel time to work (minutes), workers age 16 years+, 2015-2019 25.2

Income & Poverty  

Median household income (in 2019 dollars), 2015-2019 $53,320

Per capita income in past 12 months (in 2019 dollars), 2015-2019 $29,859

Persons in poverty, percent 13.9%

BUSINESSES

Businesses  

Total employer establishments, 2018 138,269

Total employment, 2018 2,683,214

Total annual payroll, 2018 ($1,000) 125,736,019

Total employment, percent change, 2017-2018 1.3%

Total nonemployer establishments, 2018 539,987

All firms, 2012 550,453

Men-owned firms, 2012 302,249

Women-owned firms, 2012 195,694

Minority-owned firms, 2012 105,234

Nonminority-owned firms, 2012 434,025

Veteran-owned firms, 2012 59,379

Nonveteran-owned firms, 2012 469,392

GEOGRAPHY

Geography  

Population per square mile, 2010 153.9

Land area in square miles, 2010 41,234.90

FIPS Code

Step-by-step explanation:

Mike is catering a party. He plans on having 4 trays of 5 appetizers each on the buffet at the beginning of the party and will rotate in new trays as those become empty. To ensure that he does not run out of appetizers during the party, he is going to make 2 appetizers per person in addition to the initial number put out on the buffet. Which of the following represents A, the amount of appetizers Mike needs to make, in terms of p, the amount of people attending the party?

Answers

Answer:

A = 20 + 2p

Step-by-step explanation:

I can’t see tour answer choices, but I’ll give an equation that will hopefully match one. Feel free to add in the comments what the answer choices are, and I will follow up.

A = 4(5) + 2p
A = 20 + 2p
A = 2p + 20
A = 2(p + 10)

I’m getting the 20 from the 4 trays of 5 appetizers on the buffet. I’m getting the 2p from the “two appetizers per person”

Shellys square garden has an area of 81f ft^2 what is the length of the side PLS HELPPPP

Answers

Answer:

9 ft

Step-by-step explanation:

Hope this helps!

Have a great day!

Angad was thinking of a number. Angad doubles it, then adds 8 to get an answer of 68.4. What was the original number?​

Answers

Answer:

The answer is 30.2

Step-by-step explanation:

subtract 8. Then divide by 2

Answer: 30.2

Step-by-step explanation: so 68.4 - 8 because Angad added 8 so we have to subtract that. So 60.4 divided by 2 because Angad doubled the number,  gets us 30.2.

Hope I could help!

Melanie invested $63,000 in an account paying an interest rate of 7 1/8% compounded
quarterly. Lillian invested $63,000 in an account paying an interest rate of 7 3/8%
compounded continuously. After 15 years, how much more money would Lillian have
in her account than Melanie, to the nearest dollar?

Answers

Answer: $8727- thsi should be the correct answer

Find the slope of the line write your answer in simplest form

Answers

Answer:

-3/5

Step-by-step explanation:

(y2-y1)/(x2-x1)=Slope  ((1)-(-2))/((-4)-(1)) or  3/-5

Does this triangle have a hypotenuse about 39 feet long?

Answers

Answer:

yes it is exactly 39 ft long

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

using the Pythagorean theorem:

36² + 15² = c²

1296 + 225 = c²

1521 = c²

c = 39 ft

Harold is on the diving team at school. The platform he uses is about 5 yards above the pool. On his best dive, he jumps an extra foot in the air before doing a flip. How many feet is he from the pool at the highest point of his jump?

Answers

Answer:

16 feet because 5 yards is equaled to 15 feet and then add the extra foot he uses to jump

Step-by-step explanation:

Write the equation of each line in slope-intercept form

Answers

Answer:

1) y=4/5x-8

3) y=7/5x -2

Step-by-step explanation:

Slope- intercept form is y=mx+b (y = (slope)x+ (y-intercept))

I hope this helps :)

can somebody please help me

Answers

Answer:

Step-by-step explanation:

10

the answer is 10 trust

Find two integers whose sum is -14 and product is 33

Answers

Answer:

Step-by-step explanation:

a+b=-14

a=-14-b

ab=33, using a from above makes this become

(-14-b)b=33

-14b-b^2=33

b^2+14b+33=0

(b+11)(b+3)=0

So the numbers are -3 and -11

The length of Rebecca’s rectangular garden was two times the width “w”. She increased the length and width of the garden so that the area of the new garden is (2w2+7w+6)square yards. By how much did Rebecca increase the length and width of the garden. Show your complete working.

Answers

Answer:

rebecca increased the length by 3 and the width by 2

Step-by-step explanation:

First we need to find the length and width by factorizing the expressio ofr the area;

A = 2w^2+7w+6

A = 2w^2+4w+3w+6

A = 2w(w+2)+3(w+2)

A = (2w+3)(w+2)

Since l = 2w

Length = 2w+3

width = w+2

This shows that rebecca increased the length by 3 and the width by 2

In a two-digit number, the tens' digit is 1 less than the units' digit. If the digits are
interchanged, the sum of the number obtained and the original number is 143. Find
the number.

Answers

Answer:

67

Step-by-step explanation:

Number: AB

A = B-1

BA + AB = 143

10*B + A + 10*A + B = 143

11A + 11B = 143

A + B = 13

(B-1) + B = 13

2B = 14

B = 7

A = 6

The number is 67

check: 6 = 7-1   and   67 + 76 = 143


Zayna has 4 boxes with 14 art books in each box. She has 3 bags with 12 math books in each bag. If she
gives 15 books away, how many art and math books does she have left?

Answers

Add 14 and 12 you get 26. 26-15=11
Your answer is 11 art and math books left

6 more than the product of 22

Answers

132 you supposed to multiply

Evaluate the expression (13 − 3)2 ÷ 50.

The value of the expression is

Answers

Answer:

0.24

Step-by-step explanation:

(13 - 3) 2 / 50

10 + 2 / 50

12 / 50

=0.24

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

Answer:

Exact form: 2/5

Decimal: 0.4

Step-by-step explanation:

Simplify the question !! :))

Answers

Answer:

We combine like terms to get [tex]10x^{2} + 3x - 6[/tex]

Hope this helps!

10x2 (10 x squared) + 3x - 6

please help fast!! Find the total surface area of the following cylinder:

Answers

explanation:total=addition

area=base x height plus the width (area the amount beneath the surface).

equation:3cm both sides 3cm

answer: 3+3= 6cm .

Answer: 36

Step-by-step explanation:

Formula: 2 pi rh + 2 pi r2

2 pi 3 • 3 + 2 pi 9

Leave answers in terms of pi

18 pi + 18 pi = 36 pi

Answer = 36

Xavier needs to bike a minimum of 80 miles this week for his training if he is already biked 14 miles this week and how many miles should he bike on each of the six remaining days this week?

Answers

Answer:

if he wants to bike the same amount of miles each day he should bike 11 miles each day .

Step-by-step explanation:

subtract 14 - 80 = 66. 66 in 6 days is 11 each day

7. Calculate the unit cost.
a) $1.85 for 4 kg of peaches
b) $16.99 for a 454 g package of cooked
shrimp
c) $2.99 for a 1.89 L bottle of juice
d) $283.28 for 22.5 m2 of flooring tiles

Answers

Answer:

Step-by-step explanation:

It cost $0.46 for 1 kg of peaches $.46/kg

It cost $12.6 for 1 m² of flooring tiles $12.6/1 m² of flooring tiles

It cost $1.6 for 1 L bottle of juice $1.6/L

dont know shrimp

The unit costs are:

(a) $1.85 for 4 kg  peaches= $0.4625 per Kg

(b) $16.99 for a 454 g package cooked shrimp= $37.423 per Kg

(c) $2.99 for a 1.89 L bottle juice= $1.58 per L

(d) $283.28 for 22.5 m2 flooring tiles= $12.6 per m²

How to calculate unit value?

In order to find the unit value of a quantity then divide the total cost by the quantity to get the unit price.

Unit price = total cost/ total number of quantity

here given

(a) $1.85 for 4 kg peaches

unit cost =  total cost/ total number of quantity

= $1.85/4 Kg

=$0.4625 per Kg

(b)  $16.99 for a 454 g package cooked shrimp

unit cost =  total cost/ total number of quantity

= $16.99/454g

=$0.037 per gram

=$37.423 per Kg

(c) $2.99 for a 1.89 L bottle juice

unit cost =  total cost/ total number of quantity

= $2.99/1.89L

=$1.58 per L

(d)  $283.28 for 22.5 m2 flooring tiles

unit cost =  total cost/ total number of quantity

=$283.28/22.5m²

=$12.6 per m²

Therefore the final unit costs are:

(a) $1.85 for 4 kg peaches= $0.4625 per Kg

(b) $16.99 for a 454 g package cooked shrimp= $37.423 per Kg

(c) $2.99 for a 1.89 L bottle juice= $1.58 per L

(d) $283.28 for 22.5 m2 flooring tiles= $12.6 per m²

Learn more about unit value

here: https://brainly.com/question/14125148

#SPJ2

The sum of − , − − is

Answers

What are the numbers?

which one of the following is a factor of a²+bc+ab+ac?​

Answers

a² + bc + ab + ac

a (a+b) + c (b + a)

(a+b) ( a+c)

Find the distance between the points (-3,-2) and (-1, -2).
2
V6
4

Answers

Answer:

2 units. Hope this helps!

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