A rectangular swimming pool has length (x + 4) meters and width (x - 2) meters. The area of the
pool is 72 square meters. The length of the pool is ----- meters.
12
4.
8
16

Answers

Answer 1

Answer:

The length if the pool is 12

Step-by-step explanation:

Formula: A=lw or lw=A

> (x+4)(x-2)=72

> (x²-2x+4x-8)=72

> x²+2x-8=72

> x²+2x-8-72=0

> x²+2x-80=0

Factor

> x²+10x-8x-80

> x(x+10)-8(x+10)

>(x+10)(x-8)

Check:

(x-4); (x-2); x=8

(8+4)=12 Length

(8-2)=6 Width


Related Questions

If the length of line segment AB is 9 inches, the total number of point 4 inches from Point A and 6 inches from Point B is

Answers

9514 1404 393

Answer:

 B.  Two

Step-by-step explanation:

There are two points that are 4 inches from A and 6 inches from B.

__

Additional comment

They are at the intersection points of circle A with radius 4 inches and circle B with radius 6 inches.

Which fraction is not equivalent to 9/12
15/20
24/32
6/8
16/24

Answers

Answer:

16/24

Step-by-step explanation:

9/12–> simplify to 3/4

3/4=15/20

24/32=3/4

6/8=3/4

16/24 is not equal

Answer:

16/24 isn't equivalent to 9/12

Step-by-step explanation:

9/12 = 0.75

Let's see what all the fractions equal to first.

15/20 = 0.75

24/32 = 0.75

6/8 = 0.75

16/24 = 0.667

As you can see, the fraction 16/24 doesn't equal 0.75.

Simplify the follow: (−4dq)^2

Answers

the answer is going to be 16d^2q^2
hope this helps!

JESUS I DONT GET THIS SOMETIMES, PEOPLE BE LIKE "X=69420" WHEN THE PROBLEM IS IN GRAPH FORM IM SO CONFUSED LIKE IM SORRY THAT WE ARE NOT GENIUSES CAN YOU AT LEAST GIVE US THE FULL ANSWER LIKE .

Answers

Answer:

Equation: y = -3x -2

Graph: Attached below ↓↓↓↓↓

Step-by-step explanation:

The equation is y = -3x + b

We need B at this point.

Since we have a point given to us,( -2, 4)we can input the x and y

Solve:

4 = -3(-2) + b

4 = 6 + b

b = -2

So the equation we have is y = -3x -2

Let's graph the line.

We go 2 units below the x-axis, because the y-intercept is -2, and the slope is -3, so we go down 3 units, and to the right 1.

Picture attached:

-Chetan K

What statement apply to ratio of rice and water? Choose two

Answers

Answer:

Step-by-step explanation: The amount of water is the dependent value

Evaluate |3b - 4a| for a = -3 and b = -5.

Answers

Answer:

3

Step-by-step explanation:

To evaluate |3b - 4a| substitute a = -3 and b = -5 in the given expression.

|3(-5) - 4(-3)| , multiply

|-15 +12| , add

|-3| , take the -3 out of the absolute value

3

Hey there!

|3b - 4a|

= |3(-5) - 4(-3)|

= |-15 - (-12)|

= |-15 + 12|

= |-3|

= |3|

= 3

Therefore, your answer is: 3

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

If you are converting from a large unit to a smaller unit, will you always divide?
Explain and include an example.

Answers

If you are going from a larger unit to a smaller unit, you multiply by successively. If you are going from a smaller unit to a larger unit, you divide by successively. The factor label method can also be applied to conversions within the metric system.

When you are converting from a larger unit to a smaller unit, you will always divide.

What is unit conversion?

When you are converting from a larger unit to a smaller unit, you will always divide. This is because as you move from a larger unit to a smaller unit, you are breaking the quantity down into more individual parts, hence the need for division.

For instance, to convert 5 m to centimeters;

5 meters x (100 centimeters / 1 meter) = 500 centimeters

As you can see, we divided 5 meters by 100 (the number of centimeters in one meter) to obtain the equivalent length in centimeters, which is 500 centimeters.

Learn more about unit conversion:https://brainly.com/question/28600662

#SPJ3

Hello again, wanted to know if this Ordered pair Describes the location of point C, help me.

Answers

Answer: yes

Step-by-step explanation:

x is 5, or 5 points to the right. y is 2, or 2 points up. This correlates with the graph so it is correct.

Some people advise that in very cold​ weather, you should keep the gas tank in your car more than half full. Irene​'s car had 6.4 gallons in the 15​-gallon tank on the coldest day of the year. Irene filled the tank with gas that cost ​$3.60 per gallon. How much did Irene spend on​ gas?

Answers

Answer:

$23.04

Step-by-step explanation:

6.4 * 3.6 = 23.04

Aloha! Looking for some help with an Algebra 1 equation. See photo below. Thank you in advance.

Answers

Your answer is going to be 1,2

Answer:

(4, 11 ) ; (- 4, 27 )

Step-by-step explanation:

Given

f(x) = x² - 2x + 3 → (1)

f(x) = - 2x + 19 → (2)

Substitute f(x) = x² - 2x + 3 into (2)

x² - 2x + 3 = - 2x + 19 ( add 2x to both sides )

x² + 3 = 19 ( subtract 3 from both sides )

x² = 16 ( take square root of both sides )

x = ± [tex]\sqrt{16}[/tex] = ± 4

Substitute these values into (2) for corresponding values of y

x = 4 : y = - 2(4) + 19 = - 8 + 19 = 11 ⇒ (4, 11 )

x = - 4 : y = - 2(- 4) + 19 = 8 + 19 = 27 ⇒ (- 4, 27 )

zasha spent $6 on packages of gum. How many more packages of gum that cost $1.20 each can she buy if she has a $20 bill? in a equition

Answers

Answer:

17. (20.4)

Step-by-step explanation:

x times 1.20=20

x is how many packages

the ratio is equivalent to 28

Answers

Answer:

please is the question complete?

Please help ill give you anything

Answers

Answer:

there you go . i couldnt write it so i took a screenshot of it . mark me brainliest plz

I was getting help and got kicked off

Answers

Answer:

I'm not so sure but i think it's 9

Step-by-step explanation:

I’m not understanding how you can solve for this?

Answers

Answer:

-1/12

Step-by-step explanation:

You have to substitute the given values of x and y into the expression 4xy². So now the expression would look like this: 4×-1/3×1/4².

Now just simplify from there.

4×-1/3×1/16

-4/3x1/16

-4×1/3×16

-4/48

-1/12

Not sure if my answer is really right but hope this helped nudge you in the right direction

Let f(x) = 2x - 1, h(x) = - x + 3 . Find (f o h)(-3) .

Answers

Step-by-step explanation:

Answer is 11

plz mark me as brainest

3f-23=2f+6
can u do it quick i have an exam​

Answers

Answer:

3f - 2f = 6 + 23( collection of like terms)

f = 29

help me please! I'd appreciate it!!!

Answers

The answer would be -1234.

Can y’all help me asap I give u the king thing

Answers

Answer:

15.8 or 15 4/5

Step-by-step explanation:

le volume d’un cube d’arête 4cm est

Answers

Answer:

Step-by-step explanation:

Volume of cube = side * side *side

                         = 4 * 4 * 4

                         = 64 cubic cm

I NEED HELP I DONT GET THIS

Answers

Answer:

d

Step-by-step explanation:

your correct

neeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeed it

Answers

Answer:

A reflection over the x-axis

Step-by-step explanation:

      If you were to put a mirror up to the x-axis and look at one of the shapes, you would "see the" other so we can conclude this is a reflection over the x-axis.

In other words, you could "fold" the graph in half over the x-axis and the two figures would line up.

13. A rectangle has area 3 in? and length 9 in. Find the width of the rectangle?​

Answers

Answer:

w≈0.33in

Step-by-step explanation:

Using the formula

A=wl

Solving forw

w = [tex]\frac{A}{l}[/tex] = [tex]\frac{3}{9}[/tex] ≈0.33333in

If Clancy had 3 people that decided not to come after he purchased the yogurt for the party, what equation could he use to determine the new serving size Clancy and each guest could have?

Answers

He could use Division

Which equation describes the function in the table below? (Use the formulas below, remember the y-intercept is where x = 0)

Answers

Correct answer is A.
Plug in x = 10.

1.3(10) + 10 = 23. Y = 23

PLEASE HELP ME ASAP! 10/25/2021 for 23 points!!
Simplify the expression using long division and upload photo of your work?
(2x^3-10x^2+5x+14)÷(x-2)

Answers

Answer:

2x^2−6x−7

Step-by-step explanation:

2x^3−10x^2+5x+14 over

x−2

=

2x^3−10x^2+5x+14 over

x−2

=

(x−2)(2x^2−6x−7) over

x−2

=2x^2−6x−7

Answer:

6x^2+2x+9+32/x-2

6x^3-10x^2+5x+14/x-2

Step-by-step explanation:

Help help help please please

Answers

Answer:

3/20 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Hey can anyone help me with this problem please and thank you

Answers

Answer:

x=20

Step-by-step explanation:

Answer :—

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\sf{\longrightarrow x = 20}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

[tex]\begin{gathered}\rm{ \underline{ \underline{ \red{Given}}}}\begin{cases}\sf{m||n} & \\ \\\sf{a\:transvey\:l\:passes\: through\:m\:and\:n}& \\ \\ \sf{two \:angles = (7x-3)°\:and\:(6x+17)°}&\end{cases}\\\\\end{gathered} [/tex]

⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━⠀⠀

Using the property of adjacent angles and vertically opposite angles , we have :

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\sf{\longrightarrow (7x-3)=(6x+17)}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\sf{\longrightarrow 7x-3-6x-17=0}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\sf{\longrightarrow 7x-6x-3-17=0}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\sf{\longrightarrow x-20=0}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\sf{\longrightarrow x=20}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━⠀⠀


A garden store purchased a lawn mower and marked it up 160% from the original cost of
$82.67. A week later, the store placed the lawn mower on sale for 10% off. What was the
discount price?

Answers

Answer:

$119.04

Step-by-step explanation:

160% of $82.67

= 160/100 * 82.67

= 16/10 * 82.67

= $132.272

After discount,

90/100 * 132.272

= 119.0448

≈ $119.04

Hope this helps and be sure to have a great time ahead at Brainly! :D

what is meant by the phrase " equivalent scales"?​

Answers

Answer:

A household equivalence scale allows for transforming the income in an n-member household into an equivalent one-adult-member household. This is necessary for well-being comparisons across households with different number of members.

An equivalence scale is a measure of the cost of living of a household of a given size and demographic composition, relative to the cost of living of a reference house- hold (usually a single adult), when both households attain the same level of utility or standard of living.

The equivalence scale used in the OECD Income Distribution Database divides household income by the square root of the household size. This implies that, for instance, a household of four persons has needs twice as large as one composed of a single person.

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