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


Please help will give reward!
A student ran out of time on a multiple choice exam and randomly guessed the answers for two problems. Each problem had 4 answer choices - a, b, c, d - and
only one correct answer. What is the probability that she answered neither of the problems correctly?
Write your answer as a fraction in simplest forme

Answers

Answer:

3/4

Step-by-step explanation:

2 problems consist 8 choices of answers.

the events for the correct answer are 2

and the events for incorrect answer are 6

so, the probability that she answered neither of the problems correctly = 6/8 = 3/4

Use the diagram to determine which expressions you
can use to find 60% of 90.
Check all that apply.
O 3 x 0.20
O 0.60 x 90
O 0.90 x 0.60
O 3 x 20%
O 3 x 18
(IN A TEST PLEASE HELP)

Answers

60/100=0.6

So the answer is 0.60x90

Answer:

You can use 0.60 × 90, 3 × 18 works as well.

Step-by-step explanation:

Hmmm....let's see.

You can use 0.60 × 90, 3 × 18 works as well. The answer is 54.

We know this because when finding a percentage of a number you multiply that decimal by the number. 2nd option as well as last option could work. Hope this helps, please mark brainliest!

Find the volume of the pyramid shown.

Answers

Answer:

48

Step-by-step explanation:

I did the work, the answer is 48

The answer would be 40, I just guest and got it right Answer: 40 cubic centimeters

Step-by-step explanation:

complete the conversion:
5 grams / metres squared = _________ kilograms / hectares
(5g/m2=_________ kg/ha)

Answers

Answer:

5 grams/metres squared = 50 kg/hectares

Step-by-step explanation:

We need to convert 5 grams/metres squared to kilograms/hectares.

We know that,

1 kg = 1000 g

1 hectare = 10000 m²

So,

[tex]5\ \dfrac{g}{m^2}=5\times \dfrac{0.001}{\dfrac{1}{10000}}\\\\=50[/tex]

Hence, 5 grams/metres squared = 50 kg/hectares

What is 12 decreased by p?

Answers

Answer:

12 - p

Step-by-step explanation:

12 - p

Which choice is equivalent to the expression below when x 0?
√328 – 116x + 428 – 12x
O A. 3x12x
O B. 4x/2x
O c. 18x
O D. 32x

Answers

the answer is d hopes this helps you

The Grade 5W students at the Eber Prep School wanted to create a mural on one
side of the walls in their classroom. the area of the wall is 36 square meters or 36
meters square.

Answers

Answer:

the answer is 36 square meters since this is the proper way to phrase this answer but if you do say it the other way people will now what u are talking about

Bab isn’t good with quick mafs

Answers

Answer:

153.86

Step-by-step explanation:

Formula area circle = πr²

Solve:

Area = 3.14* 7²

Area = 3.14 * 49

Area = 153.86

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

the formula is C=2√πA

so simplifying that would give us c=2(4π)

simplify again and we get c=8π

if x= 3-2^2 then find the value of x^2+1÷x^2​

Answers

X = 3-2^2

Simplify x:

3-4 = -1

X = -1

Replace x in the equation and solve:

(-1) ^2 + 1 /(-1)^2

(-1)^2 = 1

Simplify to get 1 + 1/1 = 1+ 1 = 2

The answer = 2

Please help me with this question!!

Answers

Answer:

ok so for g times h you would have to foil it and then you would multiply it by f of X

Jacqui likes to travel to the beach on weekends. She starts at her house, drives d miles, and then spends t hours walking the remaining w miles to get to the beach. Jacqui drives three times as long as she walks during the trip. The equation below represents Jacqui's average speed, a, in miles per hour, when traveling to the beach. a=d+w/3t+t What is the meaning of 3t + t3t+t in the equation above? -The total time that Jacqui spends traveling to the beach -The time that Jacqui spends driving to the beach -The total distance that Jacqui travels to the beach -Jacqui's maximum speed during her trip Jacqui's average speed during one trip to the beach was 3636 miles per hour. If Jacqui drove 70 miles and the entire trip to the beach took her 22 hours, how many miles did she walk to get to the beach?

Answers

Answer:

The answer is below

Step-by-step explanation:

1) Average speed is the ratio of the total distance travelled to the total time taken. Hence it is given by:

Average speed = total distance / total time

Total distance = d miles + w miles

Jacqui drives three times as long as she walks during the trip, hence:

time spent driving = 3t

Total time = 3t + t

Average speed = total distance / total time

a = (d + w) / (3t + t)

2) (3t + t) represents the total time that Jacqui spends traveling to the beach.

3) Given that a = 36 miles per hour, total time = 2 hours

a = total distance / total time

36 miles per hour = total distance / 2 hours

total distance = 72 miles

Total distance = distance walk + distance drove

72 = distance walk + 70

Distance walk = 2 miles


Which are the solutions of x2 = -13x – 4?

Answers

Answer:

x=3.75

Step-by-step explanation:

What is the sign of -x/-y when x > 0 and y > 0?

Answers

Answer:

pretty sure its positive

Step-by-step explanation:

hope this helps, have  a great day!

Answer:

A is correct

Step-by-step explanation:

if we know that both x and y are positive, they are both going to be negative

and since we know that, -x divided by -y is the same as saying something negative divided by something negative which is ALWAYS positive because negatives cancel out leaving the answer positive something, something

zeroes of polynomial p(x)=2x^2-9-3x are :​

Answers

Answer:

x = - [tex]\frac{3}{2}[/tex], x = 3

Step-by-step explanation:

To find the zeros let p(x) = 0 , that is

2x² - 3x - 9 = 0

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × - 9 = - 18 and sum = - 3

The factors are - 6 and + 3

Use these factors to split the x- term

2x² - 6x + 3x - 9 = 0 ( factor the first/second and third/fourth terms)

2x(x - 3) + 3(x - 3) = 0 ← factor out (x - 3) from each term

(x - 3)(2x + 3) = 0

Equate each factor to zero and solve for x

2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - [tex]\frac{3}{2}[/tex]

x - 3 = 0 ⇒ x = 3

ahhh help its PLATO
'la

Answers

Answer:

D

Step-by-step explanation:

To find the inverse of a function, first replace f(x) with y.

Next, switch all the x's and y's, and then solve for y.

Finally, replace y with f-1(x).

A baker uses 20
cups of flour to make 4 loves of bread. Use this information for the picture below!

Answers

Answer:

60 cups

Step-by-step explanation:

We can use ratios to solve

20 cups            x cups

---------------  = -------------------

4 loaves             12 loaves

20 * 12 = 4 *x

240 = 4x

Divide by 4

240/4 = 4x/4

60 =x

60 cups

Use the following function rule to find f(8). f(x) = (-4 + x)2
f(8) =​

Answers

Answer:

16

Step-by-step explanation:

f(x) = (-4 + x)^2

Let x=8

f(8) = (-4 + 8)^2

Parentheses  first

     = 4^2

Then powers

    = 16

A scale drawing of Elizabeth's rectangular room is 4 inches by 7 inches. The scale is 1 inch = 3 feet. What is the area, in square feet, of Elizabeth's room?

Answers

Answer:

84 feet

Step-by-step explanation:

4 inches× 7 inches=28inches

28 inches×3feet=84feet

The graph shows the growth rate of a certain bacteria in a lab, where the number of bacteria depends on the number of hours since the start of the experiment.

Based on the graph, what is the approximate number of bacteria after 16 hours?
6 bacteria
8 bacteria
60 bacteria
80 bacteria

Answers

Answer:

The input for the method is a continuous function f, an interval [a, b], and the function values f(a) and f(b). The function values are of opposite sign (there is at least one zero crossing within the interval). Each iteration performs these steps: Calculate c, the midpoint of the interval, c = a + b2.

Step-by-step explanation:

---------------------------

Answer:

60 bacteria

Step-by-step explanation:

c on edge 2022

My best friend gave me an Bicycle for free and it is fire and so i want to give him something to what should i give him??

Answers

Answer:

Something that's in your budget.

Brainliest goes to whoever answers correctly and explains also if you want extra points answer my other questions

Answers

Answer:

Step-by-step explanation:

y = mx + c (slope/intercept form)

c = 0 (this is the y intercept)

The format will be of y = mx

The gradient acts as the slope (m)

'y' acts as the line represented on the graph, or the 'times visited'

'x' is the independent variable, or the 'days for sale'

m = 10/5 = 2 (rise/run on the line shown)

m = 2

y = 2x

40 days > . y = (2 x 40),  y = 80 (number of times the house has been visited)

70 times visited > . 70 = 2x

70 / 2 = 35

x = 35 (days for sale)

the sum of 43.9 and 4 groups of a number​

Answers

Answer:

10.975+10.975+10.975+10.975

Step-by-step explanation:

the number of calls received by an office on Monday morning between 8:00am and 9:30 am has a mean of 3.Calculate the probability of getting no more than 3 calls between eight and nine in the morning.

Answers

Answer:

Step-bLet X be the number of calls received by an office on Monday morning between 8:00 AM and 9:00 AM.

In mathematical terms,  

X

P

o

i

s

s

o

n

(

2

)

.

The PMF of the random variable X is given as,

P

(

X

=

x

)

=

e

2

×

2

x

x

!

f

o

r

x

=

0

,

1

,

2

,

.

.

.

.

.

=

0

E

l

s

e

w

h

e

r

e

The probability of getting no more than 3 calls between eight and nine in the morning is obtained by the following way,

P

(

X

3

)

=

P

(

X

=

0

)

+

P

(

X

=

1

)

+

P

(

X

=

2

)

+

P

(

X

=

3

)

=

e

2

×

2

0

0

!

+

e

2

×

2

1

1

!

+

e

2

×

2

2

2

!

+

e

2

×

2

3

3

!

=

0

.13534

+

0

.27067

+

0

.27067

+

0

.18045

=

0

.85712

Hence the probability of getting no more than 3 calls between eight and nine in the morning is 0.85712.y-step explanation:

I need this ASAP. Thanks​

Answers

Answer:

-6

Step-by-step explanation:

since x = - 5 is < 3

for x < 3,

f(x) = 3x + 9

placing the value of x as - 5

f(x) = 3× (-5) + 9

= -15 + 9

= - 6

hey what's the answer
Liliflim pls answer this if u know !
pls with full explanation ​

Answers

Answer:

I hope the above attachment helps you mate

Have a great day

[tex]#Liliflim[/tex]

Answer:

Solution given;

a⁴-23a²b²+b⁴

making in the form of a²+2ab+b²

a⁴+2a²b²+b⁴-2a²b²-23a²b²

(a²+b²)²-(5ab)²

factoring by using formula

x²-y²=(x+y)(x-y)

(a²+5ab+b²)(a²-5ab+b²)

Perez throws a stone on the pond. The path traveled by the stone can be modeled by y = -2x2 + 8x + 5, where x represents the time (in seconds) and y represents the height of the stone (in feet). What is the maximum height that the stone reaches

Answers

Answer:

The maximum height that the stone reaches is of 26 feet.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

y = -2x2 + 8x + 5

Quadratic function with [tex]a = -2, b = 8, c = 5[/tex]

What is the maximum height that the stone reaches?

y value of the vertex. So

[tex]\Delta = 8^2-4(-2)(5) = 64 + 40 = 104[/tex]

[tex]y_{v} = -\frac{104}{4(-2)} = 26[/tex]

The maximum height that the stone reaches is of 26 feet.

Find the missing side of the triangle. Round your answers to the nearest tenth if necessary.

6.5 cm

17.4 cm

14.6 cm

9.4 cm

Answers

Answer:

6.5cm)

Step-by-step explanation:

13.1 cm x 13.1 cm = 171.61

11.4 cm 11.4 cm = 129.96

171.61 - 129.96 = 41.65

Find the square root of 41.65.

41.65 = 6.4536811201050 x 6.4536811201050

Round 6.4536811201050.

x = 6.5cm

Note:

Pls let me know if my answer is incorrect, for the other users that will see this response. Thx!

-kiniwih426

Hello I need help :)
Solve the equation to find out how much money Rita made working 36 regular hours at $24 per hour plus 8 holiday hours of double-time. What are her total earnings for the week?

A.$1,104.00
B.$ 00.00
C.$1,068.00
D.$1,248.00

Answers

Answer:

The correct option is D) $1,248.00

Step-by-step explanation:

First calculate $24 at 36 hours

24 * 36 = $864

then

calculate $48 at 8 hours because of double time

48 * 8 = $384

then

add them both up

864 + 384 = $1248

D) 1,248.00

Hope this helps :)

What’s the line of y= -1/2x+2

Answers

Answer:

A picture of the graph is attached

Step-by-step explanation:

Other Questions
5/6+3/9 in the simplest formHELP PLSS Select the correct answer from each drop-down menu.Complete the number sentence to represent finding the fair share of goldfish in each bowl. How many four digit numbers cannot be divided by 5? Explain how different types of cells help organisms live and grow?Different types of cells have different jobs that are necessary to keep organisms alive.Different types of cells are only found in specific types of organisms.Cells are necessary in order for all organisms to grow big and hunt for their food source.Cells provide support for all organisms to be able to move. Tara has read 95\%95%95, percent of the books she owns. If Tara owns 160160160 books, how many of her books has she not read? pls help me ??????????????????? Two sides of a triangle have lengths 4 and 7. Which of the following can NOT be the length of the third side? Is this sentence correct?Dont tell me about the season finale because Im so upset I missed it. What kind of social behaviours does a child learn from home ? Mention any two? Question attached please answer brainliest to best answer The types of management skills Select the correct answer.Review the following writing prompt. Then answer the question that follows.Prompt: Doctors are learning more about the serious head injuries suffered by people who play certain sports. What changes should the sports program in your school make to protect students from head injuries?Based on the writing prompt, which research question would best help you narrow your topic for a five-paragraph essay (300 words)?A. When did doctors first discover that head injuries occurred in contact sports?B. Is it easier to recover from a back injury than it is to recover from a head injury?C. What extra steps can coaches take during games and practices to keep students safe?D. How can schools encourage more students to participate in school sports?E.Why doesnt the human skull provide enough protection to avoid head injuries from sports --------------------------------------------------------------------------------------------------------------------- need help english will give 5 star and thanks Which of the following are magnitudes for rotational symmetry of the regular octagon below about the marked point? What is the volume of a rectangular prism8 inches long, 3 inches wide, and 5 inches high?A120 cubic inchesB220 cubic inches16 cubic inches158 cubic inches How many moles are in 30.0g of N2 An electric device, which heats water by immersing a resistance wire in the water, generates 20 cal of heatper second when an electric potential difference of 6 V is placed across its leads. What is the resistance in of the heater wire? (Note: 1 cal = 4.186 J)Select one:a. 0.86b. 0.17c. 0.29d. 0.43 alguien me ayuda en estas preguntas? Cmo me ayudan los sinnimos a comprender un texto? y Cmo me ayudan los antnimos a comprender un texto? We want to construct a box with a square base and we currently only have 10m2 of material to use in construction of the box. Assuming that all material is used in the construction process, determine the maximum volume that the box can have. Which numbers are written in scientific notation? Check all that apply.0.87x10^815.489 x 10^6O 10.1x 10^-1207.08 x 10^61.2345 x 10^-1