The rectangle below has an area of x2 - 16 square meters and a width of x + 4 meters.
What expression represents the length of the rectangle?
x +4
Length
x2 - 16
Length
meters

Answers

Answer 1

Answer:

Length = x - 4 meters

Step-by-step explanation:

Area of a rectangle = length × width

Area of a rectangle = x² - 16

width of the rectangle = x + 4 meters.

Length of the rectangle = ?

Recall:

Difference of two perfect square x² - 16 = (x + 4)(x - 4)

Area of a rectangle = length × width

(x + 4)(x - 4) = length * x + 4

Length = (x + 4)(x - 4) ÷ x + 4

Length = x - 4 meters


Related Questions

03.
(a)
Multiply out
3(2x-7)
Answer

Answers

Answer: -42 is the answer.

The gardern is 12m by 10m. 15% of the total area is gardern patch and 3/8 is a flowerbed. The rest of the area is lawn. Pete sprays the lawn. The spray cost 0.35 per 3m2

Answers

Given :

The garden is 12m by 10m. 15% of the total area is gardern patch and 3/8 is a flowerbed.

Solution :

Area of lawn = Area of garden - area of garden patch - area of flowerbed.

[tex]A = 12\times 10 - 12\times 10 \times 0.15 - \dfrac{3}{8} \times 12 \times 10\\\\A = 57 \ m^2[/tex]

Total cost of spray is given by :

[tex]Total \ cost =Total\ area \times cost \ per \ area\\\\T = 57 \times \dfrac{0.35}{3} \\\\T = \$6.65[/tex]

Hence, this is the required solution.

¿ cuál será el volumen de una pirámide hexagonal si las aristas de la base miden 8cm, la apotema vale9.93cm y su altura es de 28cm?

Answers

Answer:

2224.32 cm³

Step-by-step explanation:

La fórmula para el volumen de una pirámide hexagonal = 1/3 (1/2 × P × a) × h

Donde a = Apotema = 9,93 cm

P = Perímetro =

Pirámide hexagonal = 6 × Bordes de la base = 6 × 8 cm = 48 cm

h = Altura = 28 cm

Por eso,

Volumen de la pirámide hexagonal = 1/3 (1/2 (48 × 9.93) × 28 cm

= 1/3 × 238.32 × 28 cm

= 2224.32 cm³

Volumen de la pirámide hexagonal = 2224.32 cm³

a box contains 12 blue, 10 gray and 18 white mask. a mask is taken at random from the box. what is the probability that it is:
a.blue ans.
b.white ans.
c.gray ans.
d.pink ans.

Answers

Answer:

B.white

Step-by-step explanation:

They are more white mask.

Jayden is on his boat riding through the Cooper River. He spots the Cooper River Bridge at an angle of elevation of 42⁰. If the bridge stands 761 feet above Jayden’s viewing point on the boat, what is the horizontal distance from Jayden to the bridge?

Answers

The horizontal distance from Jayden to the bridge will be equal to 845.17 feets.

What is trigonometry?

Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.

Given that:-

The angle of elevation of 42⁰

The bridge stands 761 feet above

Here the horizontal distance will be calculated as:-

[tex]x= \dfrac{761}{tan42}=845.187\ feet\\[/tex]

Therefore the horizontal distance from Jayden to the bridge will be equal to 845.17 feet.

To know more about Trigonometry follow

https://brainly.com/question/24349828

#SPJ1

can someone help please

Answers

Answer:

isn't it b i remember doing something almost the same as this

Answer:

24

Step-by-step explanation:

f(4) means you plug the 4 into the equation so 4 x 4= 16

then 3(4)= 12

16+12-4=24

Social studies Geometry P.11 Similarity and altitudes in right triangles CEZ You have priz If SU = 28 and UV = 6, what is TU? T s V U Write your answer as a whole number or as a decimal rounded to the nearest hundredth. TU = Submit JUN E​

Answers

Answer:

TU ≈ 12.96

Step-by-step explanation:

Using the Altitude on Hypotenuse theorem

(leg of outer triangle)² = (part of hypotenuse below it) × (whole hypotenuse)

TU² = UV × SU = 6 × 28 = 168 ( take square root of both sides )

TU = [tex]\sqrt{168}[/tex] ≈ 12.96 ( to the nearest hundredth )

help me pls on these

Answers

Answer:

first one is A) 21

second one is D) 150

Step-by-step explanation:

first one : add all marbles  =  10

there are 3 red

chances of picking a red 3/10 or 30 percent or .3

multiple 70 by .3 and get 21

second one:

A = 6[tex]a^{2}[/tex] (Surface area of cube)

600 = 6[tex]a^{2}[/tex]

a = 10

half of 10 is 5

6([tex]5^{2}[/tex]) = 150

Geometry geometry help

Answers

Answer:

x = 32

Step-by-step explanation:

The sum of all interior angles of this pentagon is 540

Solve for x by using this formula

540 = (180-71)+(180-85)+(180-44)+(180-3x)+(180-2x)

540 = 700 - 5x

540 - 700 = -5x

-160 = -5x

-160/-5 = x

32 = x

Find the radical equivalent of 2723 and compute it.
ASAP PLS

Answers

Try 1.56 it should help!!

help! f(x)=x^2 what is g(x)

Answers

Answer:

C.) g(x) = 3x^2

Which statement correctly compares the graph of function g with the graph of function f?

Answers

Answer:its a or c hope it helps i

Step-by-step explanation:

Answer:

It is a vertical COMPRESSION

Step-by-step explanation:

"The graph of function g is a vertical compression of the graph of function f"... I just took the test. It's NOT B. Hope this helps!

Please help me kitty <3
•multiple-choice answer

Answers

Answer:

Decreasing linear

Step-by-step explanation:

An arithmetic sequence decreases by a set amount every time through subtraction, so that means it's linear

Out of 260 racers who started the marathon, 235 completed the race, 17 gave up, and 8 were disqualified. What percentage did not complete the marathon? Round your answer to the nearest tenth of a percent.

Answers

18/230 = (approximately) 0.07826.

Multiply by 100 to change the decimal to a percent.

Answer:

9.6% or 9.7% did not finish

Step-by-step explanation:

You can solve this 2 different ways:

First way: 17+8=25, so 25 out of 260 did not complete. 25/260=0.096, or 9.6% did not finish.

Second way: 235 out of 260 finished. 235/260=0.903, or 90.3% finished. 100-90.3= 9.7, which is almost exactly equal to our first answer.

They can't be the same because 25/260 and 235/260 are very random decimals, so the answer is 9.6% to 9.7% :)

find the slope of the line between the following two points (-5,-1), (-1,9)

respond quick please :)

Answers

Answer: The slope of the line is -2

Step-by-step explanation:

We can use the formula [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] to solve to for this

[tex]\frac{-9--1}{-1--5} \\\frac{-8}{4} \\-2[/tex]

What is this expression in simplest form? (x+2)/(4x^2+5x+1) * (4x+1)/(x^2-4)

Answers

Answer:

below

Step-by-step explanation:

that is the solution above

The simplest form of the given expression is [tex]\frac{1}{(x+1)(x-2)}[/tex].

What is Algebraic expression?

An algebraic expression (or) a variable expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc.

Here, given expression;

 [tex]\frac{x+2}{4x^2+5x+1} X \frac{4x+1}{x^2-4}[/tex]

[tex]\frac{x+2}{4x^2+4x +x+1} X \frac{4x+1}{x^2-2^2}[/tex]

[tex]\frac{x+2}{4x(x+1)+1(x+1)} X \frac{4x+1}{(x+2)(x-2)}[/tex]

[tex]\frac{x+2}{(4x+1)(x+1)} X \frac{4x+1}{(x+2)(x-2)}[/tex]

[tex]\frac{1}{(x+1)(x-2)}[/tex]

Thus, the simplest form of the given expression is [tex]\frac{1}{(x+1)(x-2)}[/tex].

Learn more about Algebraic expression from:

https://brainly.com/question/953809

#SPJ2

given AB is a diameter, find the measure of

Answers

Answer:

Angle BCA = 90

Step-by-step explanation:

A triangle inscribed inside of a circle using the diameter as it's hypotenuse is a right triangle

Where the angle opposite of the hypotenuse ( or diameter ) is the right angle

Angle BCA is the angle opposite of the diameter

Hence BCA = 90

If the probability that a person will die in the next year is 593/100000
What is the probability that the person will not die in the next year?

Answers

Answer:

99407/100000

Step-by-step explanation:

100000 - 593 = 99407

Help plz I don’t remember the right one

Answers

Answer:

midpoint

Step-by-step explanation:

the midpoint divides a segment into two equal parts

Answer:

midpoint of the answer

Step-by-step explanation:

midpoint means middle point. thus the line is divided in 2 equal parts

Please no links Find the value of x and TQ

Answers

Answer:

www.//.thehub.com./..

The area of the given rectangle is 63 sq m. One of the side is 9 m, then the missing side of the given rectangle will be

Answers

Answer:

7 m

Step-by-step explanation:

63/9=7 and 7*9=63

Answer: 7.

Step-by-step explanation:

Divide 63 and 9 and you get 7. Remember, length times width equals area.

An aquarium holds 11.81 cubic feet of water, and is 2.8 feet long and 1.7 feet wide. What is its depth? Round your answer to the nearest whole number.

Answers

Answer:

2ft

Step-by-step explanation:

Depth = volume / ( length x width)

11.81 / (2.8 x 1.7)

11.81 / 4.76

depth = 2.48

2 ft (to the nearest whole number)

find the hight of the tree to the nearest hundredth of a meter

Answers

Answer:

4.12m

Step-by-step explanation:

(distance of whole shadow - distance of Aisha from tree)

17.95-12.5=5.45m

17.95/5.45=3.29...(scale factor)

3.29...*1.25=4.12m(to the nearest hundredth)

Alguien me dice como lo hago paso a paso porfa
mediante la formulación y solución algebraica de sistemas de dos ecuaciones lineales con dos incógnitas

Completa la tabla para la expresión en que y= 2x – 1

y = 2x – 1

y = 2(1) – 1

y = 2 – 1 = 1 ahora hagan lo mismo con los otros valores de x en la tabla notación científica las siguientes cantidades, observa el ejemplo

Answers

Answer:

Completa la tabla para la expresión en que y= 2x – 1

y = 2x – 1

y = 2(1) – 1

y = 2 – 1 = 1 ahora hagan lo mismo con los otros valores de x en la tabla notación científica las siguientes cantidades, observa el ejemplo

a + x = -3 với a = 5 . Tìm x

Answers

Answer:

the answer is if a=5

than, 5+x=-3

or,x=-3-5

therefore x=-8

Answer:

[tex]x = - 8[/tex]

Step-by-step explanation:

[tex]a + x = - 3[/tex]

[tex]5 + x = - 3[/tex]

[tex] x = - 3 - 5[/tex]

[tex]x = - 8[/tex]

Hope it is helpful...

tina baked 552 chocolate chip cookies. she placed these cookies into boxes each contain 6 cookies. if she sell each box for $50, how much is the total sales?

Answers

552/6= 92, meaning 92 boxes times the price of 50 would come out to be 4600.

Find the missing side

Answers

Answer:

x = 71.5 in

Step-by-step explanation:

Remember the SOHCAHTOA rule

Soh...

Sine = Opposite / Hypotenuse

...cah...

Cosine = Adjacent / Hypotenuse

...toa

Tangent = Opposite / Adjacent

In this case, we use: CAH.

cos(52) = 44/x

x = 44/cos(52)

x = 71.5 inches

The perimeterof a squareis 20 feet.
What is the area of the square?

Answers

Answer:

C. 25 ft²

Step-by-step explanation:

the length of side = 20/4 = 5 ft

so the area of the square = 5² = 25 ft²

Answer:

C: 25 ft2

Step-by-step explanation:

Perimeter is the factor of all the side lengths added together. If 4 equal sides added together equals 20, what times 4 equals 20? 5 times 4 equals 20. Which means the side length is 5. Area is side length x side length, so 5 x 5=25 so the answer is C hope this helps!

Need help it’s due very soon and show work please ASAP !!?

Answers

Answer:

The volume of the cylinder is 125.664 cubic inches, without rounding off

the volume is 125.664

8 = 3a + 4...Anyone know the answer??

Answers

Answer:

8 = 3a + 4

4=3a

4/3=a

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

a = [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

To solve for a, you must isolate it (variables on one side, constants on the other):

8 = 3a + 4 (starting equation)

8 - 4 = 3a + 4 - 4 (subtract 4 from both sides)

4 = 3a + 0 (calculate)

4 = 3a (no need to write +0)

[tex]\frac{4}{3}[/tex] = [tex]\frac{3a}{3}[/tex] (divide both sides by 3)

[tex]\frac{4}{3}[/tex] = a (simplify -- 3/3 = 1)

So, a = [tex]\frac{4}{3}[/tex].

Other Questions
Please help with this question A 180 g model airplane charged to 18 mC and traveling at 2.2 m/s passes within 8.6 cm of a wire, nearly parallel to its path, carrying a 30 A current. What acceleration (in g's) does this interaction give the airplane? You are missing a layer of the epidermis on your palms and soles of your feet. However, you do have a clear layer called the _________________. What happens to pressure when the area of the surface increases ? * describe the ventricular systole in the cardiac cycle When a metal cation forms an octahedral complex the ligands approach directly along the x, y, and z axes. The two d orbitals with lobes along the axes will experience a _____ repulsion than the three d orbitals with lobes between the axes. The d orbitals will be split into two groups; the higher energy group has _____ orbitals and the lower energy group has _____ orbitals. What is the product? Which scientist developed the first model of the atom that showed the structure of the inside of an atom scenarios that describe a country with a healthy economy select the two atomic models that belong to the same element ! On Tuesday, a local hamburger shop sold a combined total of 576 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Tuesday? What is when capital is in the hands of people whove earned it? Imagine scientists moved 200 randomly selected rock pocket mice from an area with very few volcanic outcrops to an area where dark volcanic outcrops are very common. (a) Predict the predominant coat color variant(s) after one generation: (b) Predict the predominant coat color variant(s) after 20 generations: (c) Explain your predictions: Read the following conclusion for an essay that claims the Chinesegovernment should halt development in lowland areas in Sichuan province toallow the giant panda to reclaim the areas it once lived in:Despite a recognition that the giant panda can onlyconceive a few days annually, researchers are doing allthey can to figure out how to prolong the limitedreproductive cycle. These beautiful animals are held inhigh esteem worldwide, and resources should beprioritized to help protect them in every way possible.Which statement provides the most accurate evaluation of the paragraph?A. The passage introduces new evidence.B. The style is informal and inconsistent.C. The thesis is not restated.D. The closing statement is unsatisfying. sitght a situation that you make the best decision in life with best consequences. Suppose a publishing company estimates that its monthly cost isC(x) = 600x2 + 300x and its monthly revenue isR(x) = -0.423 + 700x2 600x + 500, where x is in thousands ofbooks sold. The profit is the difference between the revenue and the cost.What is the profit function, P(x)?. Guys what is the answer Part 2: Questions What is the total cost of the entire bill (all four meals), including tip? 153.88Write an expression using fractions to show how to determine the amount that each person will pay. Then calculate each person's contributions showing all steps in long division.If each person paid an equal amount, who would save the most money? Explain your reasoning using at least two complete sentences.I NEED HELP ON THE LAST 2 QUESTIONS you can use this but make sure you put some other names Please help me ASAPQuestion is in photo, thank you! -3c-11+14c=-14c-11 help me lol