A rectangle has perimeter 20 m . Express the area of the rectangle as a function of the length of ones its side.

Answers

Answer 1

Answer:

A = 10W - W²

Step-by-step explanation:

Perimeter of a rectangle = 2(L+W)

Area of a rectangle =LW

L is the length

W is the width

Given

Perimeter = 20m

20 = 2 (L+W)

10 = L+W

L = 10 - W ....2

Substitute equation 2 into the formula for calculating the area

Recall that A = LW

A = (10-W)W

A = 10W - W²

Hence the area of the rectangle as a function of the length of ones its side is expressed as A = 10W - W²


Related Questions

Use linear function g(x)=3x+5
a. Given x= 1,3,5,7 what are the output values of g(x). respectively?
b.write the input and output values as ordered pairs (hint: there are four order pairs.)
c. How did the order pairs change ?

Answers

A. 8, 14, 20, 26

B. (1, 8), (3, 14), (5, 20), (7, 26)

C. As x increased by 2, g(x) increased by 6. If x increases by 1, g(x) will increase by 3.

Hope this helped.

Help I need this rn like rnnnnnn!!!!

Answers

Answer:

g

Step-by-step explanation:

youre welcome

1. 50/







Lemme know if its right.

Elena's cousins went to a restaurant. The part of the entire cost of the meal that was tax and tip together was 25% of the cost of the food alone. What could the tax rate and tip rate be?

Answers

The tax rate could be 5% as we usually pay for our tax rate in our food and 20% could be the tip rate

Cuando al menos una de cuatro banderas de colores rojo, verde, negro y azul es acomodadas verticalmente con un asta de bandera, el resultado indica una señal (o mensaje). Arreglos diferentes proporcionan señales diferentes a) ¿cuantas señales diferentes son posibles si las cuatro banderas son utilizadas? b) ¿cuantas señales diferentes son posibles si almenos una bandera es utilizada

Answers

Answer:

respuesta b

¿cuantas señales diferentes son posibles si almenos una bandera es utilizada?

4P4+4P3+4P2+4P1=64

a library has 8,000 books and is adding 500 more each year. does the word problem represent a linear or exponential equation??

Answers

Linear

This is because an exponential function increases at an exponential rate. Or, with multiplication.

Linear functions increase at a constant rate, with addition.

Answer:

This problem represents a linear equation.

Step-by-step explanation:

A linear equation is by adding to a certain number, but an exponential equation is multiplying by a certain number.  Therefore, it is a linear equation.

Find the measure of line segment EF. Please!!

Answers

Answer:

EF = 26

Step-by-step explanation:

From the question, we have that arc EF and arc CD are equal

what this indicates is that the line that bounds these arcs too will be equal

Hence, CD equals EF

Thus;

9x-1 = 41-5x

9x + 5x = 41 + 1

14x = 42

x = 42/14

x = 3

Recall;

EF is 41-5x

EF = 41-5(3)

EF = 41-15

EF = 26

11. The rope Jenny brought with her camping gear is 54 inches long. Jenny needs to cut shorter pieces of rope that are each 18 inches long. What are the possible number of pieces Jenny can cut? also, I'm sorry that the picture is sideways. ​

Answers

Answer:

18x≤54

Step-by-step explanation:

Jenny can only cut multiples of 18. x represents the number of pieces that Jenny can cut in order to satisfy the condition that she cuts less than or equal to 54 inches of rope total.

The number 40 is 5 percent of what number?
A) 80 B) 8 C) 200 D) 2 E) 800

Answers

Answer:

800

Step-by-step explanation:

Is means equals and of means multiply

40 = 5% *N

Change to decimal form

40 = .05N

Divide each side by .05

40/.05 =.05N/.05

800 = N

im struggling on this problem PLEASE show the WORK (-x+3)-(x-5)

Answers

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

Let's simplify step-by-step.

− x + 3 − ( x − 5 )

Distribute the Negative Sign:

= − x + 3 + − 1 ( x − 5 )

= − x + 3 + − 1x + ( − 1 ) ( − 5 )

= − x + 3 + − x + 5

Combine Like Terms:

= − x + 3 + − x + 5

= ( − x + − x ) + ( 3 + 5 )

= − 2x + 8

Answer:

= − 2x + 8

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

In a problem like this, you have the see it as two separate problems before you can complete it. I’ll show work but I want to use words to maybe help you understand for the future. So split them apart to become (-x+3) as the first step and leave that alone for now. Then look at -(x-5). With the variable in place, you need to think of the subtraction sign as a negative integer and distribute it to the variables in the parentheses. The negative combines with the x to make a -x and the negative combines with the -5 to make a positive five. So now we have -x+5
After you complete that first part, you can pull the first part back and start to combine them. -x+3-x+5 becomes -2x+8.
Now here’s the work part.
(-x+3)-(x-5)
(-x+3) (-x+5)
-x (+) -x = -2x
3+5 = 8
-2x+8 is the final answer

Consider the following prisms, whose bases are both squares.

Naomi tried to use Cavalieri's principle to show that the two figures have the same volume.
"The base areas are the same. Therefore, corresponding cross-sections have the same area. So the volumes must be the same."
What is the first mistake Naomi made?

Answers

Answer: C: she did not establish that heights are the same

Naomi mistaken about the bases.

What is difference between square and a rhombus?

A square and a rhombus both have sides equal in length. But square has all its angles equal to 90 degrees, but a rhombus only has its opposite angles equal.

Every rhombus is not a square, The reason is that rhombus does not contain any right angles, so it would not a square.

Given two parallel piped figures

Naomi is mistaken by the base area as the bases are one is a a square and other one is a rhombus.

Hence, Naomi mistaken about the bases.

Find out more information about square and rhombus here

https://brainly.com/question/14483119

#SPJ2

Just ratios, please help
Express the ratio in lowest terms. (Enter your answer in fraction form.)
80/32
Express the ratio in lowest terms. (Enter your answer in fraction form.)
24 to 21
Express the ratio in lowest terms. (Enter your answer in fraction form.)
2/9 to 7/6
Express the ratio in lowest terms. (Enter your answer in fraction form.)
4 1/2 to 2 1/2

Answers

80/32 -> 10/4 -> 5/2 (divided by 8, then by 2)

24/21 -> 8/7 (divided by 3)

2/9 to 7/6 -> 4/21
Find least common denominator (18), and fractions/ratio become 4/18 to 21/18. Multiply both times 18 to eliminate the denominators = 4 to 21 = 4/21

4 1/2 to 2 1/2 -> 9/2 to 5/2 -> 9/5
Convert mixed numbers to fractions:
9/2 to 5/2
Multiply both by 2 to eliminate the denominators, and the ratio is 9 to 5 = 9/5


#5 George took a 30 question math quiz. She got 10% of the questions incorrect. How many questions did she
get incorrect?

Answers

Answer:

  3

Step-by-step explanation:

Number of Questions = 30

Percentage incorrect = 10%

10% = 10 / 100 x 30

= 300 / 100

= 3

George got 3 questions incorrect.

Find the area of a pentagon with an apothem of 7.3 and a side length of
10.6. Round to the nearest tenth if necessary.

Answers

Answer: 193 inches squared

Step-by-step explanation:

Could someone help here, thankyou!

Answers

Answer:

x = 6 cm

Step-by-step explanation:

Given ratio of sides of similar figures = a : b , then

ratio of areas = a² : b²

Here ratio of areas = 5 : 45 = 1 : 9 , so

ratio of sides = [tex]\sqrt{1}[/tex] : [tex]\sqrt{9}[/tex] = 1 : 3

Thus side of B is 3 times side of A

x = 3 × 2 = 6 cm

Type the correct answer in the box. Use numerals instead of words.
From the top of a 300-foot cliff overlooking the ocean, Kelly measures the angle of depression to a boat approaching the shore as 20°.
What is the approximate distance between the boat and the base of the cliff? Round your answer to the nearest whole foot.
feet.
The distance between the boat and the base of the cliff is

Answers

Answer:

824 feet

Step-by-step explanation:

Got it right on Plato

someone smart pls help

Answers

Answer:

5

Step-by-step explanation:

-2^2=-4

3^2=9

add

-4+9=5

BRAINLIEST!!!!! PLZ SOLVE BELOW!!!!

Answers

The length is 4.5 inches and the width is 2.5

divide the scale factor 1:16  to the real life lawn measure being 9 inches by 5  inches and that gives us

The length of  inches and  inches

Hope this helps


Charlie deposits $1,000 on the first day of each year into his investment account. The
account grows at a rate of 8 percent per year. To the nearest dollar, how much money will
be in the account on the first day of the 11th year?

$16,645
$14,487
$1.087
$18.977

Answers

Answer:

The answer is $16,645

Step-by-step explanation:

Which expression can be used to find the difference of the polynomials?
(10m - 6) - (7m -4)

Answers

Answer:

Value of given expression (10m - 6) - (7m - 4) is (3m - 2)

Step-by-step explanation:

Given:

Expression (10m - 6) - (7m - 4)

Find:

Value of given expression (10m - 6) - (7m - 4)

Computation:

(10m - 6) - (7m - 4)

Multiply " - " into (7m - 4)

So,

Solution ⇒ 10m - 6 - (7m) - (-4)

By solving brackets;

Solution ⇒ 10m - 6 - 7m + 4

Solution ⇒ 3m - 2

Value of given expression (10m - 6) - (7m - 4) is (3m - 2)

find the arc length if the central angle a = 70°
and the radius is r=55 ft

Answers

Answer:

The arc length should be 67.1952 feet.

Step-by-step explanation:

Look at attachment:

Hope this helps! :)

I can’t figure this out

Answers

its the first one or A

Answer:

The answer to that is the first one :)

Use PMT equals StartFraction Upper P (StartFraction r Over n EndFraction )Over [1 minus (1 plus StartFraction r Over n EndFraction )Superscript negative nt ]EndFraction to determine the regular payment​ amount, rounded to the nearest dollar. The price of a home is ​$195 comma 000. The bank requires a​ 20% down payment and three points at the time of closing. The cost of the home is financed with a​ 30-year fixed-rate mortgage at 10​%. Complete parts​ (a) through​ (e) below. a. Find the required down payment. ​$ 39,000 b. Find the amount of the mortgage. ​$ nothing

Answers

Answer:

I think it’s best to ask your teacher

Step-by-step explanation:

Sorry I needed the points

four tins of beans weigh 1.6kg work out the weight of 12 tins of beans​

Answers

24 the to i do you the

write the slope-intercept form of the equation of the line given the slope and y intercept. ( y = mx + b
slope = 4/3 y - intercept = 5

Answers

Y= 4/3x+5
I hope that helps:)
y=mx+b
Slope is m
Y-intercept is b
y=4/3x+5
Good luck

R
56
30°
T
S
What is the measure of Angle R?
plz help

Answers

Answer:

94

Step-by-step explanation:

180-30-56=94 degrees

Find the value of x.

Answers

Answer:

x=77°

Step-by-step explanation:

All quadrilaterals' interior angles sum to 360°, so to solve one angle in the trapezoid, we can subtract the angles we have from 360.

So x=360-(60+128+95)=77°

x=77°

Part D:
240 out of 1200 adults in survey of Western states named cookie dough as their favorite. Use the double number line to find the percent of Westerners who liked cookie dough best. Please label each of the points on the top and bottom number lines that you use to find your answer.

Answers

1200/240=5

so 240 goes into 1200 5 times, just like 20% goes into 100% 5 times.

The answer would be 20%.

Hope this helps!

Question 1
Which option below is an example of consecutive numbers?
OOOO
2,4,6,8...
1,4,9, 16...
1.1.1.3...
5, 6, 7, 8...
с
d
Review Answers

Answers

the answer for this would be d

This is geometry. Please help. If at all possible show solving steps or step explanations.

Answers

slope m = 5/7 because tan

Lines CD and DE are tangent to circle A shown below: Lines CD and DE are tangent to circle A and intersect at point D. Arc CE measures 112 degrees. Point B lies on circle A. If Arc CE is 112°, what is the measure of ∠CDE? (4 points) Question 5 options: 1) 124° 2) 136° 3) 68° 4) 56°

Answers

Answer:

Option (3)

Step-by-step explanation:

By the theorem, angle between two tangents intersecting each other outside the circle is half of the difference between intercepted arcs.

From the figure attached,

Two tangents CD and DE are intersecting each other at point D outside the circle A.

Two intercepted arcs are minor arc CE and major arc CBE,

Measure of arc CE = 112°

Therefore, measure of major arc CBE = 360° - 112°

                                                               = 248°

m(∠CDE) = [tex]\frac{1}{2}(\text{arcCBE}-\text{arcCE})[/tex]

                 = [tex]\frac{1}{2}(248-112)[/tex]

                 = [tex]\frac{1}{2}\times 136[/tex]

                 = 68°

Option (3) will be the correct option.

Answer:

C

Step-by-step explanation:

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