What are the solutions of x²-2x+2=0?

Answer:

x = -(5-2z)/3

Step-by-step explanation:

-3x+2z=5

Subtract 2z from each side

-3x+2z-2z=5-2z

-3x = 5-2z

Divide each side by -3

-3x/-3 = (5-2z)/-3

x = (5-2z)/-3

Answer:

x = 2 / 3z - 1 and 2 / 3

Step-by-step explanation:

Consider the steps below;

[tex]- 3x + 2z = 5 - Subtract 2z From Either Side of Equation,\\- 3x = 5 - 2z - Take - 3 Divided on Either Side,\\\\x = ( - 5 / 3 ) + 2 / 3z - ( Simplify ),\\x = - 1 \frac{ 2 }{ 3 } + 2 / 3z - Re - arrange,\\x = \frac{ 2 }{ 3 } z - 1 \frac{ 2 }{ 3 } \\\\Conclusion ; ( x = \frac{ 2 }{ 3 } z - 1 \frac{ 2 }{ 3 } )[/tex]

Solution ; x = 2 / 3z - 1 and 2 / 3

Answer:

the answer wold be 10.129

Step-by-step explanation:

Perimeter of the parallelogram EFGH is 11.76 units

A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length.

A parallelogram is a simple quadrilateral with two pairs of parallel sides.

Given,

The coordinates of the parallelogram = E(1,3), F(0,2), G(4,0) and H(5,1)

We know that,

In parallelogram EF=HG and EH=FG

Perimeter of the Parallelogram = 2(a + b)

Distance between EF = a = [tex]\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1}})^{2} }[/tex]

[tex]=\sqrt{(0-1)^{2} +(2-3)^{2} }\\=\sqrt{1+1} \\=\sqrt{2}[/tex]

a =1.41 units

Distance between EH = b =[tex]\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1}})^{2} }[/tex]

[tex]=\sqrt{(5-1)^{2} +(1-3)^{2} }\\=\sqrt{16+4} \\=\sqrt{20}[/tex]

b =4.47 units

Perimeter of the Parallelogram = 2(a + b)

=2(1.41+4.47)

=11.76 units

Hence,  the Perimeter of the Parallelogram EFGH is 11.76 units

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Answer:

2 and 16

Step-by-step explanation:

Answer: The answer is 10.    X = 10.

Step-by-step explanation:

Answer:

[tex]x = 60 \: \: degrees[/tex]

Step-by-step explanation:

[tex]2x + 5 + x - 5 = 180 \\ 3x = 180 \\ \frac{3x}{3} = \frac{180}{3} \\ x = 60 \: \: degrees[/tex]

(sum of the Co- interior angles = 180 degrees)

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

80°

Step-by-step explanation:

SPO+OPA+APC= 180°

(Angles on a straight line sum up to 180)

60+OPA+40=180

OPA=180-100

=80°

So, BPU is also 80°

(Vertically opposite angles are always equal)

Answer:

80⁰

Step-by-step explanation:

SPU = CPR = 40⁰ ( vertically opposite)

BPU + 40 + 60 = 180⁰ (straight line angle)

BPU = 180 - 100

BPU = 80⁰

Answer:

B

Step-by-step explanation:

LIST ALL THE NUMBER IN THE BOX PLOT

hope this helps:)

Answer the first three

Step-by-step explanation:

I Did it

Answer:

a,b,c

Step-by-step explanation:

a) m∠3 + m∠4 = 180°

b) m∠2 + m∠4 + m∠6 = 180°

c) m∠2 + m∠4 = m∠5

these are the correct answers  for edge 2020 geometry assignment; Triangle Angle Theorems

hope this helps!

Step-by-step explanation:

Putting value of y

2x + x - 5 = 10

3x - 5 = 10

3x = 10 + 5

3x = 15

x = 15/3 = 5

Putting value of x

Y = x - 5

Y = 5 - 5

Y = 0

Option D is the correct answer

Answer:

7044.5 mm (Please don't be angry on me if I'm wrong, I apologize beforehand)

Step-by-step explanation:

if the upper bound varies from the median by 5, I guess that the lower also varies by 5

thus, 365 * 19.3

7044.5 mm

Please don't be angry on me if I'm wrong, I apologize beforehand

Answer:the third one shows parallel lines cut by a transversal

Step-by-step explanation:

Answer:

B. m Angle A + 60° + 55° = 180°

Step-by-step explanation:

POGGERS

Answer:

44 ft^2

Step-by-step explanation:

Find the area of the whole rectangle first, and then subtract the area of the small black rectangle:

(12 ft)(4 ft) - (2 ft)(2 ft) =

  48 ft^2   -    4 ft^2

             44 ft^2 (answer)

Answer:

It is actually 0.07 on edge

Step-by-step explanation:

Got it right

The probability of pulling a classic rock CD is 0.71 and then without replacement probability of pulling Country side CD is 4.

Probability is the chance that something will happen, or how likely it is that an event will occur.

Probability of an event to happen = [tex]\frac{number of favorable outcomes }{total number of outcomes}[/tex]

According to the given question

we have

a bag which contains ,

country music CDs = 4

pop music CDs = 8

classic rock CDs = 5

total number of CDs = 4+8+5 =17

probability of pulling a classic rock CD = [tex]\frac{5}{17}[/tex] =0.71

without replacing

total number of CDs left = 17-1 =16

probability of pulling a country music CD =[tex]\frac{4}{16}[/tex]=4

Hence, the probability of pulling a "classic rock CD" is 0.71 and then without replacing probability of pulling "country music CD" is 4

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Answer:

He must charge minimum £0.84 for one hot dog.

Step-by-step explanation:

Ingredients cost for hot dogs at the supermarket,

Price of dog sausages tin of 8 = 50p ≈ £0.5

Price of dog bun packs of 6 = 90p ≈ £0.90

Number of tins required for 150 hot dogs = [tex]\frac{150}{8}[/tex] = 6.25

So student will purchase 7 tins.

Cost of 7 tins = 7 × 0.5

                      = £3.5

Number of dog buns packets required = [tex]\frac{150}{6}[/tex] = 25

Cost of 25 packs = 25 × 0.9

                            = £22.5

Total cost of the material used for 150 buns = 22.5 + 3.5

                                                                         = £26.0

Let the selling price of each hot dog = £x

Then selling price of 150 hot dogs = £150x

Students wants the profit = £100

So, Selling price - Cost price = profit

150x - 26 = 100

150x = 126

x = [tex]\frac{126}{150}[/tex]

x = £0.84

Therefore, he must charge minimum £0.84 for one hot dog.

Answer:

1875 square miles

Step-by-step explanation:

There are a total of 10 women and 3 men. Let's define two variables:

Given that they inherited a 30000 (square miles) of land and that each brother has inherited double what each sister has inherited, we can establish the next equations:

2*w = m

10*w + 3*m = 30000

Replacing the first equation into the second one, and solving for w:

10*w + 3*2*w = 30000

16*w = 30000

w = 30000/16

w = 1875 square miles

Your mom, and all of her sisters, inherited 1875 square miles each

Answer:

Step-by-step explanation:

C

Answer:

[tex]200$ unit^2[/tex]

Step-by-step explanation:

Surface Area of a Sphere[tex]=4\pi r^2[/tex]

Given that the surface area of a sphere is 50 units².

Then:

[tex]4\pi r^2 =50\\r^2=\dfrac{50}{4\pi}\\ r=\sqrt{\dfrac{50}{4\pi}}[/tex]

If a sphere has twice the radius of the sphere above

Its radius, [tex]r=2\sqrt{\dfrac{50}{4\pi}}[/tex]

Therefore its Surface Area

[tex]=4\pi\left(2\sqrt{\dfrac{50}{4\pi}}\right)^2\\=4\pi*4*\dfrac{50}{4\pi}}\\\\=200 unit^2[/tex]

Answer:

The equation of a circle having the center (a, b) and radius r could be formulated by:

(x - a)^2 + (y - b)^2 = r^2

A circle, which has equation form: (x + 3) ^ 2 + y ^ 2 = 81, can be turned into:

(x - -3)^2 + (y - 0)^2 = 9^2

=> center (-3, 0)

=> radius = 9

=> Option 1 is correct

=> Option 4 is correct

=> Option 7 is correct

Hope this helps!

:)

Answer:

Supplier A.

The mean is 67.28

Answer:

no

Step-by-step explanation:

The third side has to be shorter than the sum of the other two sides

5+14 = 19

It is equal so they cannot form a triangle

Answer:

Step-by-step explanation:

Length

1 inch = 25 feet

7 1/4 inches = x feet

1 * x = 25 * 7 1/4

x = 25 * 7.25

Length = 181.25 feet

The length is 181.25

hypotenuse length

The diagonal = 10 1/2 inches

The diagonal = 10.5 inches

hypotenuse = 10.5 * 25 = 262.5 feet

Width

L^2 + W^2 = Diagonal^2

181.25² + W² = 262.5²

32851.5625 + W²  =  68906.25   Subtract 32851.5625 from both sides

W² =  68906.25 - 32851.5625

W^2 = 36054.6875                       Take the square root of both sides

W = 189.88

Area

Area = L * W

Area = 181.25 * 189.88

Area = 34415.88 square feet.

Answer:

1595 ft^2

Step-by-step explanation:

The answer is obtained by adding the areas of sectors of several circles.

1. Think of the rope being vertical going up from the corner where it is tied. It goes up along the 10-ft side. Now think of the length of the rope being a radius of a circle, rotate it counterclockwise until it is horizontal and is on top of the bottom 20-ft side. That area is 3/4 of a circle of radius 24.5 ft.

2. With the rope in this position, along the bottom 20-ft side, 4.5 ft of the rope stick out the right side of the barn. That amount if rope allows for a 1/4 circle of 4.5-ft radius on the right side of the barn.

3. With the rope in the position of 1. above, vertical and along the 10-ft left side, 14.5 ft of rope extend past the barn's 10-ft left wall. That extra 14.5 ft of rope are now the radius of a 1/4 circle along the upper 20-ft wall.

The area is the sum of the areas described above in numbers 1., 2., and 3.

total area = area 1 + area 2 + area 3

area of circle = (pi)r^2

total area = 3/4 * (pi)(24.5 ft)^2 + 1/4 * (pi)(4.5 ft)^2 + 1/4 * (pi)(14.5 ft)^2

total area = 1414.31 ft^2 + 15.90 ft^2 + 165.13 ft^2

total area = 1595.34 ft^2

Answer:

x3squared-3x2squared-18x

Step-by-step explanation:

1 Expand by distributing terms.

({x}^{2}-6x)(x+3)(x

​2

​​ −6x)(x+3)

2 Use the FOIL method: (a+b)(c+d)=ac+ad+bc+bd(a+b)(c+d)=ac+ad+bc+bd.

{x}^{3}+3{x}^{2}-6{x}^{2}-18xx

​3

​​ +3x

​2

​​ −6x

​2

​​ −18x

3 Collect like terms.

{x}^{3}+(3{x}^{2}-6{x}^{2})-18xx

​3

​​ +(3x

​2

​​ −6x

​2

​​ )−18x

4 Simplify.

{x}^{3}-3{x}^{2}-18xx

​3

​​ −3x

​2

​​ −18x

Answer:

FIRST COMPLETE THE QUESTION

Nico and Albert are finishing up a science project. Tjeu measured the length in inches of three insects. They also found the average measurement of two more insects from a website. CONSIDERING THE DATA GIVEN (SEE ATTACHMENT BELOW), DETERMINE THE LISTS OF LENGTHS FROM SHORTEST TO LONGEST.

The list of lengths from shortest to longest is:

0.2 , 1/4 , 3/8 , 0.8 , 7/8

Step-by-step explanation:

Nico and Albert measures the length in inches of 3 insects i.

They also found the averages measurement of length of 2 more insects.

Now they have a total data which shows the data of 5 insects.

The data of 5 insects is given below:

3/8 = 0.375

1/4 = 0.25

7/8 = 0.875

0.8

0.2

The list is formed as follows:

0.2 , 0.25 , 0.375 , 0.8 , 0.875

or

0.2 , 1/4 , 3/8 , 0.8 , 7/8

Answer:

A

Step-by-step explanation:

Answer:

$47,520

Step-by-step explanation:

A.

the area of a polygon is/

A= perimeter X apothem /2

A=500

apothem = 10

500 = (P * 10)/2

P =100

B. 100*7.95 = $795

C.

60*100= 6,000

6,000 * $7.95=

$47,520

Answer:

-3/5

Step-by-step explanation:

The slope of a perpendicular line is always the negative reciprocal of the slope of the original line.

1/(5/3) * - 1 =  -3/5

The slope of the line that is perpendicular to the graph of y = 5/3 x + 8 is -3/5.

Equation of a line in slope intercept form is y = mx + b, where m is the slope of the line and b is the y intercept, which is the y coordinate of the point where it touches the Y axis.

Given a line,

y = 5/3 x + 8

Comparing with the slope intercept form,

Slope of the given line = 5/3

Any line perpendicular to the given line has a slope which is the negative reciprocal.

Slope of the perpendicular line = -3/5

Hence the required slope is -3/5.

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Answer:

4 ft

Step-by-step explanation:

just look at the length of the slide and substract it.

10-6=4

Answer:

4ft would be the answer to your question.