Mathematics High School

A rectangular garden is 5m longer
than it is wide.
The area of the garden is 600m2
Calculate the width and length of the garden.​

Answers

Answer 1

Answer:

The width of the garden is 22.12 m and its length is 27.12 m

Step-by-step explanation:

Equations

Let x = width of the garden

The length is 5 m longer than the wide, thus:

x + 5 = length of the garden

The area of the rectangular garden is

A=x(x+5)=600

Operating:

[tex]x^2+5x-600=0[/tex]

Solving with the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Where a=1 b=5 c=-600:

[tex]\displaystyle x=\frac{-5\pm \sqrt{5^2-4(1)(-600)}}{2(1)}[/tex]

Operating:

[tex]\displaystyle x=\frac{-5\pm \sqrt{25+2400}}{2}[/tex]

[tex]\displaystyle x=\frac{-5\pm \sqrt{2425}}{2}[/tex]

There are two solutions:

x = 22.12

x = -27.12

The negative solution is not valid because x is the width of the garden, thus

x = 22.12 m

And

y = 22.12 + 5 = 27.12 m

The width of the garden is 22.12 m and its length is 27.12 m

Related Questions

-11r + 88 = 77
Solve for r

Answers

Answer:

r=1

Step-by-step explanation:

77 - 88 = -11

-11/-11 = 1

In the figure below, AB is a diameter of circle P.
What is the arc measure of major arc ABC in degrees?

Answers

Answer: 249

Step-by-step explanation: Khan Academy

Answer:

111

Step-by-step explanation:

GOT IT RIGHT!

Fahim is 6 feet tall. At noon, he stands with the sun behind him casting a shadow. The distance from the top of Fahim’s head to the furthest tip of the shadow is 13 feet.

A right triangle with side length 6 feet, s, and hypotenuse 13 feet.
[Not drawn to scale]

What is the length of Fahim’s shadow? Round to the nearest tenth of a foot.
7.0 feet
8.5 feet
11.5 feet
14.3 feet

Answers

Answer: 11.5 feet

Step-by-step explanation:

We should note that for a right angles triangle, the square of the hypothenuse equals to the square of the opposite side and its adjacent. This can be expressed as:

Let the length of Fahims shadow be x

hypotenuse² = opposite² + adjacent ²

13² = 6² + x²

169 = 36 + x²

x² = 169 - 36

x² = 133

x =✓133

x = 11.53

= 11.5 feet to nearest tenth

Answer:

C 11.5

Step-by-step explanation:

Have a great day!

Simplify the expression by combining like terms

34 -11c-7+2c

Answers

27-9c

Please give Brainliest !!

(0, -9); slope = 4
Write in slope intercept form

Answers

Answer: y = 4x-9

Step-by-step explanation: We can follow the equation y=mx+b. Where we know m = 4 and b(the y-intercept) = -9. So the answer would be y=4x-9.

PLEASE I REALLY NEED YOUR HELP!

Answers

Answer:

x = 28

m∠ACD = 68°

Step-by-step explanation:

∠BAE ≅∠DAC because they are vertical angles

∠ACD = 180 - 124 = 56°

to find 'x':   56 + 2x + (180 - 4x) = 180

236 - 2x = 180

-2x = -56

x = 28

m∠ACD = 180 - 4(28)  =  180 - 112  =  68°

fill in the missing number 21-(-17)=21+...

Answers

Answer:

the answer of 21-(-17)=21+17=38

PLS HELP!

I rlly need it done

Answers

Answer:

ML = 6

Step-by-step explanation:

Since HIJ is a scale drawing of KML, this means the IJ and ML are corresponding sides. The corresponding sides have proportional lengths, so from HJ ≅ LK you can learn that the scale factor is 20 / 5 = 4. likewise you can confirm this with HI ≅ MK is 36 / 9 = 4.

So ML is found by dividing JI by 4 = 24/4 = 6.

i need help asap i’ll be giving a brainliest to the person with the correct answer

Answers

Answer:

A newborn weighs 8 pounds at birth and gains 1.5 pounds each month for the next 3 months.

They all mostly seem right, but when a baby is first born the year is 0, so therefore it most likely seems like the first one! :)

^^ hope this helps :)

Solve for the variable
X-11 = 8

Answers

This is pretty easy to do.

First, you have to get x alone by getting rid of the terms next to it. In this case, it’s -11.

To get rid of a term, do the opposite.


So x - 11 + 11 = 8 + 11
Remember to do it on both sides.

x = 19
Answer: 19
Why?
You have to get x alone so you have to add 11 to both sides
X-11+11= 8+11
The 11 cancel out on the left and 8+11 equals 19 so x=19

adam is rewriting the expression

Answers

Answer:

Adam is typing...

Step-by-step explanation:

Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

B and C

Step-by-step explanation:

Answer:

Is C

Step-by-step explanation:

60 = 6y

if you divide both by 6

So y = 10

The answer it’s from acellus

Answers

Answer and Step-by-step explanation:

4 goes into 17 four times.

4x4= 16

giving you

16 R1

Answer:

quotient-----4

Remainder---1

Step-by-step explanation:

This is basic division am I right?

Opposite of division is Multiplication

Multiplication is repeated addition

4+4+4+4=16

16+4=20 but that is greater than 17.

so quotient is 4 and remainder is 1

HAIRCUT Josiah went to the local
barber to get his hair cut. It cost
$18 for the haircut. Josiah tipped
the barber 15%. What was the total
cost of the haircut including the
tip?

Answers

The correct amount would be $20.70

pls help i am on a timer

Answers

Answer: (x-6)(x+1)

Step-by-step explanation:

Sum :  x2 − 5  x- 6

x2 + x-=6 x − 6

factor pair: x  2 + x − 6 x − 6

x( x+ 1 ) − 6 ( x + 1 )

rewrite from: x (x  + 1 ) − 6 ( x + 1 )

(x-6)(x+1)

Answer:

A: (x-6)(x+1)

Step-by-step explanation:

We need to find 2 numbers that add to make -5 and multiply to make -6.

We already have the numbers infront of us, so by process of elimination we can remove B and D.

For the numbers, we need a positive number and a negative number (two negatives make a positive). We can eliminate C because at first -3 multiplied by 2 is -6. However, when -3 is added to 2 we get -1.

If we expand A, it makes the expression that needs to be factorised because...

-6 × 1 = -6

-6 + 1 = -5

So expanding it properly we get.

x² - 6x + x - 6

Simplify.

x² - 5x -6

good at math? PLEASE HELPPPP!!

Answers

Answer:

b

Step-by-step explanation:

Which set of angles can form a triangle?

Answers

Answer:
2 acute and 1 right


1. Which of the following descriptive statistics is
LEAST affected by extreme values?
A. Mean
B. Median
C. Standard deviation
D. Range

Answers

Median, because it will still just be the number in the middle.

If 500 calories adds 1 pound to your weight how many 1000 calorie banana splits would you need to eat to gain 10 pounds

Answers

500cal=1lb
1000cal=2lbs
2x5=10
1000x5=5000
Answer: 10 banana splits

Answer: 5

Step-by-step explanation:

each banana split is equal to 2 lbs. therefore, to gain 10 lbs. you need to eat 5 banana splits.

500cal = 1 lb.

1000cal = 1 banana split

1 banana split = 2lbs.

to gain 10lbs, divide 10lbs by 2lbs = 5 banana splits

Subtract - 2x – 10 from 10x2 + 3.

Answers

Answer:

Step-by-step explanation:

2x—33

PLEASE HELP ITS URGENT

Answers

Answer:

20

12

16

Step-by-step explanation:

if the y colume is equal to whatever is in the x column if you multiply the x column by 4, so 5 times 4 is 20 ec.

What type of function is f(x)?
f(x) = -2(5)*

Answers

Its a Linear function

What is the measure of angle C?

Answers

Answer:

48

Step-by-step explanation:

57 + 27 = 84

180 - 84 = 96

96 ÷ 2 = 48

Write the slope intercept form of the graph. I will give brainliest

Answers

Answer:

Step-by-step explanation:

(0,3)  (3, 5)

(5-3)/(3-0)= 2/3

y - 3 = 2/3(x - 0)

y - 3 = 2/3x - 0

y = 2/3x + 3

find the area of circle
whose radius is rcm.​

Answers

Answer:

πr^2 Cm^2

Step-by-step explanation:

Using the formula we get our answer.

A blank is a fraction with a denominator of one

Answers

Answer:

Whole Number

Step-by-step explanation:

Answer:

A whole is a fraction with the denominator of one.

Step-by-step explanation:

Graph the line with slope -5 and y-intercept 7.

Answers

Answer:

start your grap at (0,7) and go up 5 to the right 1 and down 5 to the left 1

Help Please!! Will Give Brainliest to correct answer!

Answers

it’s the third choice

Answer:

It would be the last one square root of 6 over 4

Step-by-step explanation:

Need help no work shown=a big fat 0
Need 22,23,and24
26 if can

Answers

Answer:

22.)

m/8 = 15/24

8×15= 120

120÷24= 5

m=5

23.)9/p = 4/48

9×48= 432

432÷4=108

p=108

24.) 10.50÷3= 3.50

thats $3.50 per pizza.

9 pizzas= $31.50

plus one pizza aka, 31.50+3.50= $35

therefore, 10 pizzas would cost $35

26.) 5/2 = d-2/4

cross multiply:

5×4=2(d-2)

20= 2(d-2) divide both sides by 2

20÷2 = 2(d-2)÷2

10= d-2 exchange places with d and 10 and change signs

-d= -2-10

-d=-12 change the sign on both sides when the variable is negative.

d=12

solve the equation -16(d+1) =-20

Answers

Answer:

d= 1/ 4

Step-by-step explanation:

Answer: 1/4

Step-by-step explanation:

-16(d + 1) = -20

-16d - 16 = -20

-16d - 16 + 16 = -20 + 16

-16d = -4

-16d/-16 = -4/-16

d = 1/4

Other Questions
what is the common ratio of the geometric sequence below? 2, 4, 8, 16, 32, ... Suppose that at Northside High, the number of hours per week that seniors spend on homework is approximately Normally distributed with a mean of 18.6 and a standard deviation of 6. We take a random sample of 36 seniors. What is the mean and standard deviation of the sampling distribution for the 36 students? How did Islam spread into West Africa?Islamic armies invaded West Africa and taught the people about Islam.Islamic teachers came to West Africa to build schools and teach Islam.Islam was adopted in West Africa through interactions with Muslim traders.The West African people traveled to southern Africa to learn more about Islam. Zoom in to see better pls help!! Does anyone know what 8th grade workbook are these pages from? What country has the best military and best navy in the world. Genealogy is the study of families and ancestors. People who study genealogy are called genealogists. They use birth records, marriage licenses, real estate purchases, death certificates, and military enlistments to trace ancestors and family trees. Most genealogists are hobbyists who only follow their own family names as far back into history as possible. However, there are professional genealogists who can trace the lives of well-known people or royalty back for generations.Originally, the government of ancient Rome kept censuses and tax records, but most of that information is lost. After the establishment of the Catholic Church, most people in Europe kept track of their ancestors through church and parish congregation rolls. In other civilized parts of the world, the procedure was similar. However, in less civilized cultures, it was difficult to keep track of family lines, and most of the family trees were kept orally, with names passed down from parent to child. Occasionally, cultures composed songs and poems to remember ancestors.After the invention of the printing press, things became much simpler to keep track of family lines. When the Bible was mass produced, most families kept a copy and handed it down through generations. Births, marriages, and deaths were recorded in the family Bible, so families began to trace their kinship through writing. The printing press also allowed government agencies to keep better record of municipal and state censuses. Human beings began to leave more of a paper trail through the centuries.With the creation and use of the World Wide Web, genealogy has exploded. Everyone with an internet connection has easy access to government databases and library records dating back hundreds of years. Social networking websites cater to amateur genealogists and make it simple to assemble a family tree with a little help. Now it is entirely possible to access records across oceans and continents without having to travel to a foreign place to research in a library or office. As peoples lives become more recorded, tracing genealogies will be as simple as pushing a button or flipping a switch.Which question is most likely raised by this article?A.Who is the leading genealogist in the world today?B.Where can a person find an antique printing press?C.What do genealogists have to look forward to in the future?D.Why is it important to research your family tree? Graph the linear equation y=2x-1. A line segment with endpoints (7,5) and (10, 1) is reflected across the line y = -x. Which pair of coordinates represents the endpoints of the given segment after the reflection? A (-7, 5) and (-10, 1) B (-5, -7) and (-1, -10) C(5, 7) and (1, 10) D (7,-5) and (10,-1) PLEASE HELP ME:What would happen if your skin cells could not reproduce to replace themselves? A. Identify which of the following points: (2,-5),(4,1),(3, 3),(6,3) are solutions of the linear equation: 2x - y = Graph each point that is a solution of the linear equation from Part A. what is a compound? What is the molarity of a solution that has 2.87 moles of NaCl in 5020 mL of solution? Two insulated wires, each 2.64 m long, are taped together to form a two-wire unit that is 2.64 m long. One wire carries a current of 7.68 A; the other carries a smaller current I in the opposite direction. The two wire unit is placed at an angle of 65.0o relative to a magnetic field whose magnitude is 0.59 T. The magnitude of the net magnetic force experienced by the two-wire unit is 4.11 N. What is the current I Robert hook used an early microscope to observed a cork sample. How did this help contribute to cell theory? Who were some of the writers, poets and thinkers of the Harlem Renaissance? What are some ways these writers and poets influenced or shaped people's ideas during this period? (this question does not include multiple choice) What immediately follows a thesis in an essay?paragraphs with evidence to show the thesis is wrongBparagraphs with evidence to support the thesisparagraphs with additional thesis statementsDa concluding paragraph in which the thesis is restated Need help! Thank you! Heyy can someone help me ? ;-; is for today ;-;Zuleima puts her pebbles on the table. Make groups of 3 and have 1 left. Then make groups of 5 and have 2 left. How many stones does Zuleima have? Please do this ASAP! Write an argument writing on it!