A rectangle has an area of 12x²+17x-5mm². For what value of x is the rectangle a square? What is the area of a square? Justify your answer and show your work. A=12x²+17x-5mm²

Answers

Answer 1

Answer:

23mm

528 mm^2

Step-by-step explanation:

The area of a rectangle is given as  the product of its length and width.

Given that 12x²+17x-5mm² is the area

factorize

12x²+17x-5 = 12x²+20x -3x-5

= 4x(3x+5)-1(3x+5)

= (3x+5)(4x-1)

For the rectangle to be a square, it means that the sides 3x+ 5 and 4x - 1 are equal. Hence

3x + 5 = 4x -1

collect like terms

3x - 4x = -5 -1

-x = -6

x = 6

substitute into the sides

3x + 5 = 3(6) + 5 = 23

4x -1 = 4(6) - 1 = 23

The area of the square which is a product of the sides

= 23 * 23

= 529


Related Questions

Write an expression equivalent to m+m+m+m that is sum of two terms

Answers

the answer is 4m

and 2 plus 2 is 4

i don't know if I'm right

pls answers, my test in 20 mins

Answers

Answer:

1) 10r

2) 5h

3) 7+2d

4) 15ey

5) 5e * 4y = 20ey

6) 4r+10s

7) 7z

8) 36p^2

9) 16r^2

Step-by-step explanation:

Could someone please answer this for me and explain clearly how to do it?

Answers

Answer:

your answers will be

A》3

B》-4

Step-by-step explanation:

hope it helps you

have a great day!!!

Solve a-3=13
What is Z

Answers

Answer:

a = 16 hope this helps

Step-by-step explanation:

cat face x+4/5=45 sa il aflu pe x

Answers

Given:

The equation is

[tex]x+\dfrac{4}{5}=45[/tex]

To find:

The value of x.

Solution:

We have,

[tex]x+\dfrac{4}{5}=45[/tex]

Isolating the variable, we get

[tex]x=45-\dfrac{4}{5}[/tex]

[tex]x=\dfrac{225-4}{5}[/tex]

[tex]x=\dfrac{221}{5}[/tex]

[tex]x=44.2[/tex]

Therefore, the value of x is 44.2.

If you help me u are the best ;)​

Answers

Answer:

Area = (8 + 2x)² mi²

Step-by-step explanation:

Length of the side of a park = 8 mi

Width of the road around the park = x mi

Length of one side of the park with the road = (8 + 2x) mi

Area of the park with road = (side)²

                                            = (8 + 2x)²

Therefore, combined area of the park and road is (8 + 2x)² square miles.

Determine the independent variable in the situation:

The more groceries people purchase, the more money people spend.

1.Money Spent

2.Number of groceries purchased

Answers

Answer: 2. Number of groceries purchased

Explanation:
The money spent depends on the number of groceries purchased.

The number of groceries purchased doesn’t depend on the money spent.

Therefore the number of groceries spent is independent. And the money spent is dependent.

Helpppppppppppp plz helpppppppppppppp ​

Answers

Answer:

trueeee :) that is my answer

Does anyone know this answer??

Answers

Answer:

153.50

Step-by-step explanation:

The summation of the angles of the triangles is 180 and m(<q) =m(<p) =13.25

So you will subtract the the two equal angles from the 180

in a class of 80 students every student studied economic or geography or both If 65students study economic and 50students study geography how many students study both subjects​

Answers

25 because 65 +50=115 then subtract by 80

Help please look at the picture that i added help please

Answers

Answer: one-sixth

Step-by-step explanation:

Noah drew the circle which is divided into six equal parts

This shows that cherries must be divided into six persons

each sector of the circle is  [tex]\frac{1}{6}^{th}[/tex] of the whole circle

From this, we can conclude that each person receives  [tex]\frac{1}{6}[/tex]  pound of cherries.

One large bubble separates into four small bubbles so that the total area of the small bubbles is equal to the area of the large bubble. Each small bubble has a radius of 5 centimeters. What is the radius of the large bubble?

Answers

Answer:

R = 10 cm

Step-by-step explanation:

The area of a spherical shape is given by :

[tex]A=4\pi r^2[/tex]

Where

r is the radius of the sphere

ATQ,

One large bubble separates into four small bubbles so that the total area of the small bubbles is equal to the area of the large bubble.

The radius of each small bubble is 5 cm

Using the given condition,

[tex]4\pi R^2=4\times (4\pi r^2)\\\\R^2=4r^2\\\\R=\sqrt{4r^2} \\\\R=2r\\\\R=2\times 5\\\\R=10\ cm[/tex]

So, the radius of the large bubble is equal to 10 cm.

Answer:

20cm

Step-by-step explanation:

5cm+5cm+5cm+5cm=20cm

HELP ASAP!
How much NaBr solute is saturated at 70 degrees?
A.
110



B.
B.120

C.
130

D.
140

Answers

B .......................................

120l NaBr solute is saturated at 70 degrees. In this case option b is correct when  saturated at 70 degrees.

NaBr is the chemical formula for sodium bromide. It is an inorganic compound composed of sodium (Na) and bromine (Br). Sodium bromide is a white, crystalline solid that is highly soluble in water.

In terms of its properties and uses, sodium bromide has various applications. It is commonly used in the pharmaceutical industry as a sedative and anticonvulsant drug. Sodium bromide is also used in the oil and gas industry as a completion fluid in well drilling and workover operations. Additionally, it finds applications in photography as a component of some film developers.

As a salt, sodium bromide dissociates into sodium ions (Na+) and bromide ions (Br-) when dissolved in water. These ions can participate in various chemical reactions and have different effects depending on the specific application or purpose.

To know more about  "solute."  here

https://brainly.com/question/25326161

#SPJ2

(b) What is 35% of 60?

Answers

Answer:

21

Step-by-step explanation:

its just... 21 its pretty simple

The answer is 21

Here’s how to solve it:
Convert the percent into a decimal by moving the decimal 2 places to the left.
Then multiply the decimal (.35) by 60 and you get your answer
21 !

PLZ HELP ME ITS ALMOST DUE

Answers

GO UP 12 COME BACK DOWN 13- THEN SUB TRACT THE LINE

hey....lol i need help on this

Answers

W = 32 blaaaa blaaaaaaaaa blaaaaa

Answer:

W = 32

Step-by-step explanation:

lol.

If JKLM is an isosceles trapezoid, find each value listed below. Help ASAP !!

Answers

The answer to your question is x=14

What are the factors of the equation x 2 - 5x + 6?

Answers

Answer:

(x-3)(x-2)

Step-by-step explanation:

x^2 -5x+6

What two numbers multiply to 6 and add to -5

-3 * -2 = 6

-3 -2 = -5

(x-3)(x-2)

a university directory has 25 pages filled with students' names. There are a total of 15,050 names in the directory. Each page has an equal number of names. How many names are on each page?
p l e a s e h e l p ; - ;

Answers

Are you in 5th grade

Which student has the greater median test score?

Answers

Answer:

amy, since the middle term is further up the graph

Step-by-step explanation:

median is the middle term, amy's middle term is further

PLEASE HELP I WILL MARK YOU BRAINLIEST determine the exact and approximat solutions for 4(x + 5)^2 = 21 show your steps

Answers

Answer:

x = − 5 + 1/2 √ 21 or x = − 5 + − 1/2 √ 21

Step-by-step explanation:

Let's solve your equation step-by-step.

4(x+5)^2=21

Step 1: Simplify both sides of the equation.

4x^2+40x+100=21

Step 2: Subtract 21 from both sides.

4x^2+40x+100−21 =21−21 4x^2+40x+79=0

For this equation: a=4, b=40, c=79

4x^2+40x+79=0

Step 3: Use quadratic formula with a=4, b=40, c=79.

x= −b±√ b^2−4ac/2ax

= −(40)+√ (40)^2−4(4)(79)/2(4)

x = 40^2±√ 336/8

x= −5+1/2 √ 21 or x = −5+ − 1/2√ 21

Answer: x = − 5 + 1/2 √ 21 or x = − 5 + − 1/2 √ 21

( I hope this was helpful) >;D

Composite Figures Question 2.
A. 74 ft
B. 24 ft
C. 81 ft
D. 69 ft

Answers

D. 69
Break up the figure then multiply the numbers.
9 x 5=45.
4 x 6=24.
Then add.
45+24=69
The Correct answer is D

A fan has 5 congruent blades that are spaced equally as shown below.
What is the measure of the angle of rotation if blade M moves clockwise to the position of blade P?

Answers

9514 1404 393

Answer:

  d  72°

Step-by-step explanation:

Moving from M to P, the fan has rotation 1/5 of the way around the 360° circle. Its angle of rotation is ...

  360°/5 = 72°

Together Jason and Judy have read 24 mystery novels. Judy has read less than three times as many as Jason. How many mystery novels have each of them read.

Answers

Omitted / Incomplete Question : Judy has read 4 Less than three times as many as Jason

Answer:Jason has read  7 mystery novels and Judy has read  17 mystery novels

Step-by-step explanation:

Total number of mystery books read by  Jason and Judy =24

Let Number of mystery books read by Jason=x

and  Number of mystery books read by Judy= 3x-4

So that the total number of book read by both of them will be expressed as

x +(3x-4) =24

x +3x-4 =24

4x=24+4

4x=28

x=28/4=7

There fore  Jason has read  7 mystery novels

and Judy = 3x-4 = 3 X 7- 4 =21-4=17mystery novels

Maria es una estudiante de la seccion 7-9 que le gusta leer mucho. Actualmente lee un libro que tiene 288 paginas, silee 12 paginas por dia, en cuanto tiempo leera maria todo el libro

Answers

Responder:

24 días

Explicación paso a paso:

Dado que:

Total de páginas = 288

Número de páginas leídas por día = 12

Número de días que se necesitarán para leer el libro completo:

Total de páginas / número de páginas leídas por día

288/12

= 24

Por lo tanto, a María le tomará 24 días leer el libro completo, si lee 12 páginas del libro por día.

Can someone round these to the nearest .1

1.602564102564103

2.380952380952381

Answers

Answer:

1.6; 2.4

Step-by-step explanation:

five or more round up

4 or less leave as is

like terms have the same _____ with the same _______​

Answers

Answer:

like terms have the same VARIABLES with the same POWER

:)

Answer:

Variables; Powers

Step-by-step explanation:

Like terms have the same variables with the same powers. Eg:-

[tex]3 {x}^{2} \: and \: 9 {x}^{2} [/tex]

These are like terms as they both have the same variables and powers

Which expression is modeled by this set of arrows on the number line?
A number line going from negative 8 to positive 8. An open circle is at 0. An arrow goes from 0 to negative 3, and from negative 3 to negative 6.

1 Negative 6 divided by (negative 3)
2 Negative 6 divided by 3
3 6 divided by (negative 3)
4 6 divided by 3

Answers

Answer:

A  -6 divided by (-3)

Step-by-step explanation:

What is the value of n?
Your answer in the box n=
5m 15m n 2m

Answers

Answer:

12.5

Step-by-step explanation:

because it's a progress

Find the number of two digit numbers which are
divisible by 6​

Answers

Answer:

36 ÷ 6 = 12

24 ÷ 6 = 4

12 ÷ 6 = 2

Step-by-step explanation:

There are way more numbers that can be divised by 6 but these can be chosen.

Answer:

15.

Step-by-step explanation:

These are:-

12, 18, 24 , ........... 96

There are (96 - 12) / 6 + 1 =

= 14 + 1

= 15.

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