please help me work this out! set up and solve a quadratic equation to work out the value of x

Please Help Me Work This Out! Set Up And Solve A Quadratic Equation To Work Out The Value Of X

Answers

Answer 1

Answer:

x = 8

Step-by-step explanation:

✔️Area of the square = s²

Where,

s = (2x - 4)

Area = (2x - 4)² = (2x - 4)(2x - 4) = 2x(2x - 4) -4(2x - 4)

= 4x² - 8x - 8x + 16

Area of square = 4x² - 16x + 16

Area of rectangle = L × W = (3x - 6) × x

= 3x² - 6x

✔️Since both have the same area, therefore,

4x² - 16x + 16 = 3x² - 6x

Collect like terms

4x² - 3x² - 16x + 6x + 16 = 0

x² - 10x + 16 = 0

Factorize

x² - 2x - 8x + 16 = 0

x(x - 2) -8(x - 2) = 0

(x - 2)(x - 8) = 0

(x - 2) = 0 or (x - 8) = 0

x = 2 or x = 8

If we plug in x = 2 into any of the given side length, we would have 0. (i.e. 2x - 4 = 2*2 - 4 = 0)

So the value of x cannot be 2 because the length of any of the shape cannot be 0.

So therefore, the value of x = 8


Related Questions

Need help! What are the coordinates of point P?

Answers

Answer:

the first circle.

Step-by-step explanation:

please mark brainliest of answers correct. have a nice day!

Answer:

A) -4,3

Step-by-step explanation:

The Thomas Supply Company Inc. is a distributor of gas-powered generators. As with any business, the length of time customers take to pay their invoices is important. Listed below, arranged from smallest to largest, is the time, in days, for a sample of the Thomas Supply Company Inc. invoices.

13 13 13 20 26 26 29 31 34 34 35 35 36 37 38
41 41 41 42 43 46 47 48 49 53 55 56 62 67 82

Required:
a. Determine the first and third quartiles.
b. Determine the second decile and the eighth decile.

Answers

Answer:

The answer is below

Step-by-step explanation:

When computing quartile and decile, the data must be arranged in ascending order.

Given the data points:

13 13 13 20 26 26 29 31 34 34 35 35 36 37 38  41 41 41 42 43 46 47 48 49 53 55 56 62 67 82

The numbers are arranged in ascending order. The total number of terms is 30.

a)

[tex]First \ quartile(Q_1)=\frac{1}{4}(n+1)^{th}\ term\\\\where\ n=number\ of\ terms. Hence:\\\\Q_1=\frac{1}{4}(30+1)=7.75^{th}\ term=average\ of\ 7th\ and\ 8th\ term=\frac{29+31}{2} =30\\\\Q_1=30\\\\Third \ quartile(Q_3)=\frac{3}{4}(n+1)^{th}\ term\\\\Q_3=\frac{3}{4}(30+1)=23.25^{th}\ term=average\ of\ 23rd\ and\ 24th\ term=\frac{48+49}{2} =48.5\\\\Q_3=48.5[/tex]

b)

[tex]Second \ decile(D_2)=\frac{2}{10}(n+1)^{th}\ term\\\\where\ n=number\ of\ terms. Hence:\\\\D_2=\frac{2}{10}(30+1)=6.2^{th}\ term=average\ of\ 6th\ and\ 7th\ term=\frac{26+29}{2} =27.5\\\\D_2=27.5\\\\\\Eight \ decile(D_8)=\frac{8}{10}(n+1)^{th}\ term=\frac{8}{10}(30+1)=24.8^{th}\ term\\=average\ of\ 24th\ and\ 25th\ term=\frac{49+53}{2} =51\\\\D_8=51[/tex]

find the sum of the fractions below 2 1 over 2 + 2 1 over 3

Answers

Answer:

[tex] \frac{105}{6} [/tex]

Step-by-step explanation:

[tex] \frac{21}{2} + \frac{21}{3} [/tex]

lowest common multiple of 2 and 3 is 6

21×3 = 63

21×2= 42

they are now going to have the same denominator of 6

[tex] \frac{63}{6} + \frac{42}{6} [/tex]

now u are just gonna add the neumerators and keep the denominator

[tex] \frac{105}{6} [/tex]

PLEASE ANSWER ASASP FOR BRAINLEST!!!!!!!!!!!!!!

Answers

Answer:

32 units²

Step-by-step explanation:

this shape is a trapezoid with a height of 4 and bases that are 4 and 12 units in length

formula is: 1/2(height) x (sum of bases)

A = 1/2(4)(4 + 12)

A = 2(16)

A = 32

It’s 32 because 4 x4 is 16, we just answer the square part. Now we are moving on to the triangles on the side. 4 x4 is 16 /2 is 8 then time eight by two bc their are two triangles. So 16 plus 16 is 32

What is the fraction 7/12 as a product of a whole number and a unit fraction

Answers

Answer:

7 1/2 is the answer because you have to multiply the whole by the denominator. Make that product the numerator.

Step-by-step explanation:

Use the drop-down menu to write the rule to fit the pattern for this table.

Does anyone know this one ?

Answers

Answer:

5 times

Step-by-step explanation:

5*0=5... 5*1=5... 5*2=10... 5*3=15... 5*4=20

Please help! (the question is on the screenshot) Help ASAP Ty!

Answers

Answer:

A

Step-by-step explanation:

because if you do rise over run you get 4/3. you also need to remember to go to the points where there's a straight line

[tex]Your[/tex] [tex]answer[/tex] [tex]would[/tex] [tex]be.[/tex]

[tex]A[/tex] [tex]I[/tex] [tex]know[/tex] [tex]this[/tex] [tex]might[/tex] [tex]be[/tex] [tex]late[/tex] [tex]but[/tex] [tex]A[/tex] [tex]is[/tex] [tex]correct.[/tex]

[tex]- Yaoii[/tex]

Please help, I will give brainliest.

Answers

Answer:

I believe it is c but don't quote me on it

c! HOPE THIS HELPS.

Solve for a.
12 =-2a + 6

Answers

Answer:

a=-3

Step-by-step explanation:

First, subtract 6 from both sides

6=-2a

divide -2 from both sides

-3=a

What is the value of the expression 13.5- 6.48

Answers

13.5-6.48=7.02

Step-by-step explanation:

You just pine them up and subtract. So the decimal points would be one under another. The 6 would be under the 3. Lastly the 4 would be under the 5 and the 8 would be beside the 4. Then you just subtract...or use a calculator

what is the surface area of this shape?

Answers

Answer:

135.42 yd²

Step-by-step explanation:

Surface area of triangular prism = 2(BA) + PH

Where,

Triangular base area (BA) = ½bh = ½*4*3 = 6 yd²

Perimeter of triangular base (P) = 4 + 3.61 + 3.61 = 11.22 yd

Height of prism (H) = 11 yd

Surface area = 2(6) + 11.22 × 11

= 12 + 123.42

Surface area = 135.42 yd²

(-13) + (-14)+6
explain

Answers

Answer:

21

Step-by-step explanation:

-13)+(-14)= -27

-27+6= -21

f(x)= 2/x-2 find (fof) (i)

Answers

Answer:

Step-by-step explanation:

cant see pic

What is the largest of three consecutive odd integers whose sum is 105.

Answers

35 bc 35 times 3 is 105

A triangle with the angle
72°, 48°and 60°
Determine if the following statement are possible or impossible

Answers

Answer : It is possible to form a triangle


Explanation : To form a triangle, sum of angles should be equal to 180
72 + 48 + 60 = 180 So, triangle is formed
Therefore the following statement is possible.

Lisa makes $78.37 per day. If she works 8 12
hours, how much does she make in 1 hour?

Answers

i’m assuming the time is eight hours and 12 minutes. let me know if that’s not what it’s supposed to be

78.37 / 8.12 = 9.65

lisa makes $9.65 in 1 hour
hope this helps

how Do you graph an
absolute valve function

Answers

Answer:

To graph the absolute value, you need to know where the vertex is, so the numbers will be going down, then turn and start going back up, or going up and then turn and start going down, the middle point will be the vertex and should be the center point of the table.

Evaluate the expression r + x2 for r = 4.

Answers

Answer:

x^2 +4

Step-by-step explanation:

what is 452÷6 in long division​

Answers

Answer: 75.333333...

Step-by-step explanation: Might want to round that number to the nearest tenths. This number is a repeating digit.

Here we will show you step-by-step with detailed explanation how to calculate 452 divided by 6 using long division.

Before you continue, note that in the problem 452 divided by 6, the numbers are defined as follows:

452 = dividend

6 = divisor

Step 1:

Start by setting it up with the divisor 6 on the left side and the dividend 452 on the right side like this:

6 ⟌ 4 5 2

Step 2:

The divisor (6) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:

0

6 ⟌ 4 5 2

Step 3:

Multiply the divisor by the result in the previous step (6 x 0 = 0) and write that answer below the dividend.

0

6 ⟌ 4 5 2

0

Step 4:

Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.

0

6 ⟌ 4 5 2

- 0

4

Step 5:

Move down the 2nd digit of the dividend (5) like this:

0

6 ⟌ 4 5 2

- 0

4 5

Step 6:

The divisor (6) goes into the bottom number (45), 7 time(s). Therefore, put 7 on top:

0 7

6 ⟌ 4 5 2

- 0

4 5

Step 7:

Multiply the divisor by the result in the previous step (6 x 7 = 42) and write that answer at the bottom:

0 7

6 ⟌ 4 5 2

- 0

4 5

4 2

Step 8:

Subtract the result in the previous step from the number written above it. (45 - 42 = 3) and write the answer at the bottom.

0 7

6 ⟌ 4 5 2

- 0

4 5

- 4 2

3

Step 9:

Move down the last digit of the dividend (2) like this:

0 7

6 ⟌ 4 5 2

- 0

4 5

- 4 2

3 2

Step 10:

The divisor (6) goes into the bottom number (32), 5 time(s). Therefore put 5 on top:

0 7 5

6 ⟌ 4 5 2

- 0

4 5

- 4 2

3 2

Step 11:

Multiply the divisor by the result in the previous step (6 x 5 = 30) and write the answer at the bottom:

0 7 5

6 ⟌ 4 5 2

- 0

4 5

- 4 2

3 2

3 0

Step 12:

Subtract the result in the previous step from the number written above it. (32 - 30 = 2) and write the answer at the bottom.

0 7 5

6 ⟌ 4 5 2

- 0

4 5

- 4 2

3 2

- 3 0

2

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 452 divided by 6 calculated using Long Division is:

75

2 Remainder

Mark as brainlist

1 pt
1. If your job pays you $ 60,000 annually. What is your monthly salary to the nearest cent?
Since you need the monthly salary, and you are given the annual salary, use the formula
Monthly Salary = Annual Salary/12 since there are 12 months in a year ( 1 point)
O $5,000
$2,500
O $8.70
on
O None are Correct

Answers

5,000 I’m pretty positive !

Answer:

Hi, since their are 12 months in the year, you divide 60,000 (the annual salary), by the amount of months in the year to find the monthly salary. The answer is 5,000.

Help! Will give brainliest!

Answers

Answer:

6 or 5

Step-by-step explanation:

The answer is 6 your welcome

If you know the area of a circle, how can you find is radius

Answers

Answer:

πr^2=area

r=√area/π

r=√7×area/22...../


What is the slope of the line

Answers

[tex]\frac{1}{2}[/tex] Or 2.

(Pretty sure it's the first option.)

Brainiest if correct? Ty!

convert the following equation into standard form Y equals negative 7X over 8 +4

Answers

9514 1404 393

Answer:

  7x +8y = 32

Step-by-step explanation:

Clear fractions and add the opposite of the x-term.

  y = -7x/8 +4

  8y = -7x +32 . . . . . multiply by 8

  7x +8y = 32 . . . . . .add 7x

MARKING BRAINLIEST AND GIVING LOTS OF POINTS TRIPLE PLEASE ANSWERS ASAP!!!’

Answers

found this online, hope it helps !!

Given J(x-8) and k(-1,-5) and the graph of line below find the value x so that jk

Answers

Where’s the graph of the line?

Answer:

x=10

Step-by-step explanation:

Find the volume.
18 cm
12 cm
9 cm

Answers

Answer:

1944....

Step-by-step explanation:

What is the value of x?
Enter your answer in the box.

Answers

Answer:

136

Step-by-step explanation:

68 * 2 = 136

Determine the solution to the system of equations {4x+15y=40
-8x-5y=20}

And write your solution as an ordered pair.



Answers

Step-by-step explanation:

4x+15y= 40-5y= 20

= 4x+15y+5y= 40-20

4x+20y= 20

Need help with math points and brainlest

Answers

Answer:

Step-by-step explanation:

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