Mathematics High School

Carlos is extending hood backyard patio. Currently, the area of the patio is n2+16n+64. West are the new length and width of the patio, feet, if Carlos extends the length by 2 feet and the width by 2 feet

Answers

Answer 1

Answer:

Width = 8 feet

Length = 8 feet

Step-by-step explanation:

Carlos is extending hood backyard patio. Currently, the area of the patio is n²-16n+64.

Step

We find the Length and Width

This is done by factorising the area

Area = n² - 16n + 64 = 0

n² - 8n - 8n + 64 = 0

(n² - 8n)  - (8n +64) = 0

n(n - 8)  -8(n - 8) = 0

(n - 8) (n - 8) = 0

n - 8 = 0

n = 8

The length and width  = 8 feet

Step 2

New length and width by extension is calculated as:

Width = 8 feet + 2 feet = 10 feet

Length =  8 feet + 2 feet = 10 feet

Related Questions

Find the measure of each exterior angle of a regular nonagon.
If needed, round to the nearest tenth.
label optional

Answers

Answer:

360°÷9

Step-by-step explanation:

All exterior angles should add up to 360°.

The nonagon is a regular polygon hence all the exterior angles are the same size.

∴ 360°÷9= 40°

1.) Mr. Sno-Cone tracked how many snow cones he sold during a week. What is the range of
his data?
25
30
28
22
32
40
31
Number
Sold

Answers

the range is 6 because 31-25 = 6

You flipped a coin 65 times, and it landed heads side up 37 times. What is the experimental probability of it landing tails side up?

Answers

Answer:

28/65

Step-by-step explanation:

HELP PLEASE 14 POINTS

Answers

Answer:

To my knowledge of congruency, I would say the answer is A,

Step-by-step explanation:

Hope this helped!!!

Please help.

A principal investment of $2,000 earned $200 of simple interest over 4 years. Use the appropriate formula to find the interest rate.

Answers

the answer is x+y=b <<<<<333333

hi I need help in this math equation ASAP pls give me. an answer and don't fool around I'm serious!!​

Answers

Answer:

58

nth term is 25 i think

Step-by-step explanation:

The next number is

58.

Each number is +11

So, the next number that comes after 47 is 58.

14+11= 25

25+11= 36

36+11=47

47+11=58

The nth term is 11n+3d=11a=14a= d⋅n+a-da= 11⋅n+14-11a= 11n+3

What is the surface area of the part of the cake that will have frosting? No links or I will report you. If you answer correctly I will give you the brainliest

Answers

Answer:

396 square inches

Step-by-step explanation:

First we must find the overall surface area of the cake, which will the total area of all of the faces.

The cake is a rectangular prism, meaning the faces are all rectangles and opposite faces will be identical.

As opposite faces are identical, the area of only 3 faces need to be found, and a formula can be crafted:

[tex]A = 2 (lw + wh + lh)[/tex], where l is length, w is width, and h is height.

For demonstration purposes, the length will be 12 and the width will be 15.

Substituting, we get:

[tex]A = 2 ((12)(15) + (15)(4) + (12)(4))\\A = 2(180 + 60 + 48)\\A = 2(288)\\A = 576\\[/tex]

Now, we must subtract the area that is not covered by frosting. As there is only a lack of frosting on the base, we subtract the area of the base.

[tex]A = 576 - lw\\A = 576 - (12)(15)\\A = 576 - 180\\A = 396[/tex]

8th Grade Math! Help Please.

Answers

Answer:

bolded

Step-by-step explanation:

2. 11= 3z +5

 6 = 3z    z= 2

3. 2s - 4 = 6

   2s=10      s= 5

4. 5r + 8 = -12

   5r = -20     r= -4

5. -6p - 3 = 9

    -6p = 12    p= -2

6. 3x + x -2 = -14

  4x = -12    x= -3

7. 5c + 2 -3c = 10

   2c = 8    c=4

8. 3 + 7n +2n = 21

  9n = 18   n=2

9. 6r + 5 - 7r =21

      -1r =16     r= -16

10. 8 - 5b= -7

      -5b = -15    b= 3

11. 6 - 4m= -10

    -4m = -4    m= 1

12. -3t + 4 =19

      -3t = 15     t= -5

13. a= 18

2. 11=3z+5
-5
6=3z
Divide by 3
2=z. Z=2

3. 2s-4=6
+4
2s=10
/2
S=5

4. 5r+8=-12
-8
5r=-20
/5
R=-4

5. -6p-3=9
+3
-6p=12
/-6
P=-2

6. 3x+x-2=-14
C.L.T(combine like terms) 3x and x
4x-2=-14
+2
4x=-12
/4
X=-3

7. 5c+2-3c=10
C.L.T 5c+3c=2c
2c+2=10
-2
2c=8
/2
C=4

8. 3+7n+2n=21
C.L.T 7n+2n=9n
3+9n=21
-3
9n=18
/9
N=2

9. 6r+5-7r=21
C.L.T 6r-7r=-1r
-1r+5=21
-5
-1r=16
/-1
R=-16

10. 8-5b=-7
-8
-5b=-15
/-5
B=3

11. 6-4m=-10
-6
-4m=-16
/-4
M=4

12. -3t+4=19
-4
-3t=15
/-3
T=-5

13. 2+ a\b=5
And sorry I’m not good with fractions don’t want to give the wrong answer

Questions 1-14of 14

Which expression is equivalent to the quotient of 4 and t?
4+t
4
t
4xt
Od
4-t.

Answers

answer is b because the veritable is just 1 but the 4 stays the same

Select all the expressions that are equivalent to 20% of 150.

Answers

Answer:

2 and 3

Step-by-step explanation:

30 is 20% of 150

I hope this helps

Have a great day

I need someone who will answer all five questions correctly. Give out 100 bonus points for who will answer all 5 correctly

Answers

Answer:

What're the questions??

Step-by-step explanation:

why did this just now show up for me when it was in 2021 bro

What would be the area of the TRIANGLE if the base of
the triangle was 67 units long and it's height is 3 units
long?

Answers

Answer:

jjggaiidyusipdyyakkgffaulfrraiiiguua

A town's population is currently 30,000. If the population doubles every 45 years, what will the population be 90 years from now?

Answers

Step 1. Currently 30,000
Step 2. Doubles in 45 years that is 60,000
Step 3. In another 45 years if it doubles again it would be 120,000
Answer in 90 years the town population would be 120,000 people

Shawn wrote down the activities for his day on Saturday. In which situation will his activity result in a final value of zero? *
A. Shawn places four quarters in a jar of quarters which contains four quarters.
B. In the morning, Shawn added six hard candies to a jar which contained four hard candies. By the end of the day he ate ten candies from this jar.
C. Shawn starts out on the ground and then climbs ten feet on a ladder.
D. Shawn travels east ten feet and then travels south ten feet.

NO SCAM LINKS

Answers

Answer:

B

Step-by-step explanation:

B. In the morning, Shawn added six hard candies to a jar which contained four hard candies.

So he had 10 candies.

By the end of the day he ate ten candies from this jar.

Now he had 10-10 = 0, zero candies.

Answer:

B

Step-by-step explanation:

A 4+4=8

B 10-10=0

C 10'

D 10'E 10'S

Which equation is equivalent to 5x – 4y = 8?

Answers

Answer:

you got it right

Step-by-step explanation:

you mathaway to get the answer

If y varies inversely as x, and y= 4 when x=6, then determine the value of y when x=5.

Answers

Answer:

y = 4.8

Step-by-step explanation:

y = k/x

4 = k/6

k = 24

y = 24/5

y = 4.8

What is c the number of baseball cards in coles cole collection ? * I will give brainliest pleaseee help

Answers

Answer:

24

Step-by-step explanation:

120/5

Answer:

d i hope am sorry if i calcuc wrong

Step-by-step explanation:

What is the lateral surface area of the triangular prism?
Select one:
96 ft
36ft
60ft
84ft²

Answers

Answer:

96 feet

Step-by-step explanation:

thats the answer po

What are some properties and uses of the square root function?

Answers

Answer:

The domain of the square root function f(x)=√x is given in interval form by: [0,+∞)

The range of the square root function f(x)=√x is given in interval form by: [0,+∞)

The x and y intercepts are both at (0,0)

The square root function is an increasing function.

Determine whether the pair of coordinate pairs will make the linear inequality true or false.(10, 6).Y ≤ -5/5x+3

Answers

Answer:

False.

Step-by-step explanation:

We have the ordered pair (10, 6) and we want to see if this ordered pair is a solution of the inequality:

y  ≤ -5/5x+3

Remember that a generic ordered pair is written as (x, y)

Then for the ordered pair (10, 6) we have:

x = 10

y = 6

So we just need to replace these two values in the inequality and see if the inequality is true or false.

Replacing these values we get:

6  ≤ (-5/5*10) + 3

6  ≤ (-1/10) + 3

This is false, 6 is not less than the thing at the right, so we can conclude that (10, 6) is not a solution of the inequality.

So the coordinate pair makes the inequality false.

To solve the equation 34x=15, Abby multiplied both sides by ¾ and got a solution of x=1114. Explain the error that Abby made and then find the correct value of x.

Answers

Answer:

x = 20

Step-by-step explanation:

3/4x = 15

Abby's calculation:

3/4x = 15

Multiply both sides by 3/4

x = 1114

Abby's error was multiplying both sides by 3/4 instead of dividing both sides by 3/4 to get the value of x

Correct calculation:

3/4x = 15

Divide both sides by 3/4

3/4x ÷ 3/4 = 15 ÷ 3/4

x = 15 × 4/3

x = 60/3

x = 20

Check:

3/4x = 15

3/4*20

= (3*20) / 4

= 60/4

= 15

3/4*20 = 15

a.When the numerator and the denominator have no common factor other than 1; he fraction is either a proper fraction or mixed number

Answers

Answer:

The fraction is a proper fraction (and irreducible)

Step-by-step explanation:

Given

[tex]x = Numerator[/tex]

[tex]y = Denominator[/tex]

[tex]Common\ factor = 1[/tex]

Required

The type of fraction

A fraction with the given features is a proper fraction and cannot be further reduced.

Take for instance:

[tex]x = 2[/tex]

[tex]y = 7[/tex]

The only common factor between [tex]2\ and\ 7[/tex] is 1

[tex]\frac{x}{y} = \frac{2}{7}[/tex]

See that 2/7 is a proper fraction and also 2/7 cannot be reduced (simplified)

The above logic is applicable to all fraction that have the attribute stated in the question (e.g. 3/7, 3/8, 4/9, 7/10, etc.)

The triangles are congruent by the SSS congruence theorem. Triangles A B C and D E C are connected at point C. Triangle A B C is reflected across B C and then is rotated about point C to form triangle D E C. Which rigid transformation(s) can map TriangleABC onto TriangleDEC?

Answers

Answer:

Reflection, then rotation

Step-by-step explanation:

The answer is already included into question:

Triangle A B C is reflected across B C and then is rotated about point C to form triangle D E C.

Answer:

The correct answer is A

Step-by-step explanation:

reflection, then rotation

I’m soooo grateful for you guys that’s helping me!!!

Answers

Answer:

52

Step-by-step explanation:

Identify the direction of rotation that maps triangle BCD to triangle B’C’D’.

The triangle is rotated in a _________
direction.
On a coordinate plane, triangle B C D is rotated clockwise to form triangle B prime C prime D prime.

Answers

Answer:

clockwise

Step-by-step explanation:

Answer:

Clockwise

Step-by-step explanation:

The perimeter of a rectangle is 36 cm and the length is twice the width. What are
the dimensions of this rectangle?
Width? _____ cm
Length? ____ cm

Answers

Answer:

Width __6___ cm

Length __12__ cm

Step-by-step explanation:

hello :

x : the width   and y : Length    P : the  perimeter

P=2(x+y )        but : P=36cm  and : y = 2x

36 = 2(x+2x)

36 = 2(3x)

6x =36   so : x=6 cm   and y = 2×6=12cm

Step-by-step explanation:

If breadth is b,then length will be 2b,so

Perimeter=36

2(2b+b)=36

3b=18

b=6,so,l=2×6=12

So,length is 12 and breadth is 6,

Hope it helps…

I NEED HELP ITS DUE TOMORROW

Answers

Answer:

A is congruent

B is congruent

Triangle congruence statements:

A: EFD=ACB

B: LJK= YXZ

Hope this helps

Plz!!! I will give Brainliest

Answers

d i believe please correct me if i’m wrong
it’s B !!

it says at least which means 6 would be included. so the dot would be closed since it indicates including 6. and since at least also means more than.

If the probability that someone
will win a game at the carnival is
1/24, what is the probability that
they will not win?

Answers

Answer:

1 - 1/24 = 23/24

Step-by-step explanation:

Which option best shows X < -18

Answers

Answer:

A is the best shows your answer

Answer:

B

Step-by-step explanation:

C and D are > and ≥ -18

A shows x < -18, which isn't what the question asks for

Other Questions
Whats the domain of this graph? The main reason Florida works to provide improved access to medical care is because of the state's large number ofO visitors from other states.O visitors from other countries.O retirement-age people.O non-English speakers. Pls answer. I will mark brainliest. help!? :( ILL GIVE U BRAINLIST THANK YOU5STARS + U GET THE POINTS!! plz help :(_________________________________________3. Tom took 3/4 of a pie. He could only eat 1/2 of what he took. What fraction of the pie did Tom eat?_________________________________________4. Use the area model below to calculate each product.(1/3 x 1/4= _______) (2/5 x 3/4= ______) (3/5 x 1/4=_______) (3/5 x 1/2=_______)(3/5 x 1/2=_______)__________________________________________Look for a pattern in the numbers. Describe a relationship between the numerator and the denominator of each answer fraction and those of the fractions being multiplied. ___________________________________________5. Determine each product.a) 3/4 x 2/5 = ________ b) 5/8 x 2/3= ________c) 4/7 x 2/3= ________ d) 2/3 x 7/10= ___________________________________________________ a. Convert the following Fahrenheit temperatures to Celsius (you may use a calculator):98.6F (normal body temperature)68F (room temperature)20F (a cold day)b. Convert the following Celsius temperatures to Fahrenheit:10C30C-40C (thats cold!) please help I will mark brainliest I'm failing these class plz( In the song Firework by Katy Perry identified all of the figurative languages)plz helpppp Which sentence contains an oxymoron? A. The bird that flew into the Smith's house was an uninvited guest. B. Jon pulled the corners of the top sheet until it was as tight as a drum. C. The rain poured down in buckets and drenched everyone at the picnic. D. He gave me the run-around before finally confessing the entire truth. Find the coefficient of the x^3 in the expansion of (2x-9)^5 When we burn fossil fuels, ____________ is released into the atmosphere.A. water vaporB. carbon dioxideC. oxygen y=2x^2+12x+14 in vertex form brainliest to first person!! do you think growing food is a good way to make a living? why or why not The condition of the environment has no effect on the people, animals, or plants that live in it. Are the ratios 18:9 and 2:1 equivalent? Critics of President Bushs education initiative that required annual testing of students felt that Are all proportional relationships functions? Reece is setting up a large fish tank. The tank is 1.8metres long and 0.6 metres wide. The water in the tank is 50 cm deep. Reece needs to add a liquid treatment to the water. The instructions tell him to add 5 ml of treatment for every 0.18 m3. How many treatment does Reece need to add? 14. The Enforcement Act sent troops to the south to protect Freedmen against what group?A. CarpetbaggersB. Other FreedmenC. KKKD. Military Districts At WMS, 3 out of 4 students ride a bus to school. There are 600 students at WMS. How many students ride the bus? There used to be a popular type of pulp book for younger readers. They were called "Choose Your Own Adventure" novels. The idea was pretty simple. You'd start reading and then a few pages into the book, there would be a plot development that required a choice. The book might describe that you've entered a spooky house and the door has locked behind you. It would then ask you if you want to try to exit by going through the kitchen or exploring upstairs. If you chose to go into the kitchen, you'd turn to page 200, if you chose to go upstairs, you'd turn to page 43. This would repeat maybe five or six times though the book. You could re-read it a few times and try different outcomes.In this lab you are going to create a choose your own adventure application using navigation controllers. The introduction screen to your application will contain a few lines of text to set up a story and then leave the user with a choice. Below the text, you will present two buttons that correspond to the different choices.For example, you might see the following text on the main screen:You are walking down the street when a tiger runs up and takes your lunch and then runs away...Do you want to chase the tiger or run away?ChaseRun AwayThe user must then tap one of the buttons. This will move the user to a new screen with a few more lines of the story and another choice and two more buttons. You will create three (3) turning points in your story. This means that your story will have eight (8) different possible outcomes and a total of 15 screens.RequirementsThe story must ask three (3) questions, no matter how the user answers the previous question. All the questions must be different and result in a different story text.The story must have eight (8) possible different final outcomes.The story must include a minimum of 15 screens in total.Create content that is appropriate and not-offensive. We will share these and play them together.For extra credit you can add an extra screen and use inputs to capture data from the user such as a name, favorite food, or lucky number and use this data in the story.