Find the HCF of
x^2y and x

Answer:

radius = 5

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

(x - 2)² + (y - 6)² = 25 ← is in standard form

with r² = 25 ( take the square root of both sides )

r = [tex]\sqrt{25}[/tex] = 5

Using the slope concept, it is found that the angle between the ladder and the floor will be of 33.69º.

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem, we have that:

Hence:

tan(45º) = h/3.

1 = h/3.

h = 3 m.

If the ladder slides 1 m down, the height will be of 2m, hence the angle will be given as follows:

[tex]\tan{\theta} = \frac{2}{3}[/tex]

[tex]\theta = \arctan{\left(\frac{2}{3}\right)}[/tex]

[tex]\theta = 33.69^\circ[/tex]

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The volume of the model in cm³ is 52.2 if the scale model of a statue has a height of 20 cm. The real statue has a height of 2 m

It is defined as the mass-to-volume ratio. The density indicates the object's density and is represented by the symbol. The density is measured in kilograms per cubic meter.

A scale model of a statue has a height of 20 cm.

The formula for density:

D = mass/volume

Volume = base area×hieght

104.4 kg = 104400 grams

2 m = 200 cm

Volume = Mass/D

Volume(real statue) = 104400/200 = 522 cubic cm

Scale factor = 20/200 = 1/10

Volume of model statue = 522(1/10) = 52.2 cubic cm

Thus, the volume of the model in cm³ is 52.2 if the scale model of a statue has a height of 20 cm. The real statue has a height of 2 m

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Answer:

123icuxxiffatjtjfug8utkxi93hkgodo c office c 8f

The transformation is nonrigid because the segment lengths are not preserved.

The image related to the question cannot be found. However, the question can still be solved

The given parameters are:

From the question, we understand that the side lengths are not equal.

This means that the triangles are dilated.

And the scale factor of dilation is

Scale factor = 6/3 = 10/5 = 8/4

Scale factor = 2

The scale factor of dilation is 2

Dilation is a non rigid transformation.

Hence, the transformation is nonrigid because the segment lengths are not preserved.

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Answer:

The transformation is nonrigid because the segment lengths are not preserved.

The point (0, 0) is a solution to which of these inequalities are satisfied. so option B. y-7<2x-6is the only correct answer.

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

The point (0, 0) is a solution to which of these inequalities are satisfied.

A. y+7<2x - 6

      7 < -6

So, it is incorrect.

B. y-7<2x-6

      -7 < -6

So, it is correct.

C. y-6<2x-7

         -6 < -7

So, it is incorrect.

D. y+7<2x+6

7 < 6

So, it is incorrect.

Hence, option B is the only correct answer.

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Answer:

b = 4

Step-by-step explanation:

the equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

here ( h, k ) = (2, 5 ) , then

y = a(x - 2)² + 5

to find a substitute any point on the parabola into the equation

using (0, 1 ) then

1 = a(0 - 2)² + 5 ( subtract 5 from both sides )

- 4= a(- 2)²= 4a ( divide both sides by 4 )

- 1 = a

then

y = - ( x - 2)² + 5

   = - (x² - 4x + 4) + 5

    = - x² + 4x - 4 + 5

    = - x² + 4x + 1 ← in the form ax² + bx + c

with b = 4

The equation of the line through the point (8,−9) and perpendicular to 3x+8y=4 is given by 8x - 3y = 91.

We are aware that any straight line's equation can be expressed as

y = mx + c,

where m denotes the slope and c denotes a constant.

Also, two perpendicular lines' slopes are the negative reciprocals of one another.

Here, the equation of the given straight line is

3x+8y=4

i.e. 8y = 4 -3x

i.e. y = (4/8) - (3/8)x

Now the negative reciprocal of - 3/8 is 8/3.

Then we can write the equation of the perpendicular line is

y = (8/3)x + c ...(1)

Since (1) passes through the point (8, -9), so we can put x = 8 and y = -9 in (1) to get the value of c.

So, -9 = (8/3)*8 + c

i.e. -9 = 64/3 + c

i.e. c = -9 -64/3 = - (27 + 64)/3 = - 91/3

(1) can be written as

y = (8/3)x - (91/3)

i.e. 3y = 8x - 91

i.e. 8x - 3y = 91

Therefore the equation of the line through the point (8,−9) and perpendicular to 3x+8y=4 is given by 8x - 3y = 91.

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Answer: 3x+1

Step-by-step explanation: See attachment

Answer:

x=135°

Step-by-step explanation:

WZ is 180 degrees. Simply subtract 48 from 180.

180-45=135.

Hope this helps!

If not, I am sorry.

Answer:

The answer is 132

Step-by-step explanation:

For khan academy

Answer:

C) 15.5 units

Step-by-step explanation:

Answer:

It is both answers B and D

Answer: 43

Step-by-step explanation:

Step 1: Simplify inside the parenthesis

(12 ÷ 3) + 3+ (16-7) × 4

4 + 3 + 9 × 4

Step 2: Multiply 9 by 4

4 + 3 + 36

Step 3: Combine Like Terms

43

Answer:38.9

Step-by-step explanation:

Step-by-step explanation:

square root 3 divided by

2

The range of the function f(x) = 3x3 when its domain is {2, 5} is {24, 375}

The domain is the independent value for which a function exists.

Given the function below;

f(x) = 3x^3

If the domain of the function is {2, 5}, the range are;

If x = 2

f(2) = 3(2)^3
f(2) = 3(8)

f(2) = 24

If x = 5

f(5) = 3(5)^3

f(5) = 3(125)

f(5) = 375

Hence the range of the function f(x) = 3x3 when its domain is {2, 5} is {24, 375}

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The activity series is an arrangement of species in order of reactivity.

The activity series is an arrangement of species in order of reactivity. The position of a specie in the series determines the possibility of certain reactions.

The following are the fates of these reactions;

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Step-by-step explanation:

Use this algebra 2 theorem:

If r and q are roots of a polynomial function then

the polynomial function can be expressed as

[tex](x - r)(x - q)[/tex]

Here the roots are

1- root of 6, 1+ root 6, and. 7-i so our. function can be expressed as

[tex](x - (1 - \sqrt{6} ))(x - (1 + \sqrt{6} ))(x - (7 - i))[/tex]

The first two binomials are difference off squares so the we have

[tex] {x}^{2} + x( - 1 + \sqrt{6} ) + x( - 1 - \sqrt{6} ) + ( - 5)[/tex]

[tex] {x}^{2} - 2x - 5[/tex]

The other root is (7-i).

Also note since (7-i) is a root, then (7+I) is also a root.

So

[tex](x - (7 - i)(x - (7 + i)( {x}^{2} - 2x - 5)[/tex]

[tex]( {x}^{2} - 14x + 50)( {x}^{2} - 2x - 5)[/tex]

Simplify and it gives us

[tex] {x}^{4} - 16 {x}^{3} + 73 {x}^{2} - 30x - 250[/tex]

Step-by-step explanation:

9.25( 18.4 - 2.12)

9 × 25 ( 18×4 - 2× 1.2) (multiply)

9.25 ( 72 - 2.4) ( calculate)

9×25×69.5 (calculate)

(answer) 1566

Answer:

x=9

Step-by-step explanation:

The largest angle of the pentagon with the given ratio of angles is: 180°.

A pentagon is a 5-sided polygon with 5 interior angles that have a sum of 540 degrees.

If the ratio of the angles are: 1:2:2:3:4, then the largest angle would be calculated as shown below:

4/(1+2+2+3+4) × 540

4/12 × 540 = 180°

The largest angle is: 180°.

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The cost price of the product will be 25000.

From the information given, the cost price is 25000. The loss is 10%. This will be:

= 25000 - (10% × 25000)

= 25000 - 2500

= 22500

The tax is 13%. This will be:

= 22500 + (13% × 22500)

= 22500 + 2925

= 25425

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[tex] {a}^{3} . \\ \\ {a}^{5}. \\ \\ {a}^{9} . \\ \\ {a}^{m + n}. \\ \\ {x}^{1} = x.\\ \\ {x}^{3}. \\ \\ {x}^{3}. \\ \\ {x}^{m - n} . \\ \\ {y}^{6} . \\ \\ {y}^{12} . \\ \\ {y}^{18} . \\ \\ {y}^{ab}. \\ \\ 1. \\ \\ 1. \\ \\ {px}^{1} = px.[/tex]

[tex]343 .\\ \\ 16 .\\ \\ 3125 .\\ \\ \frac{ - 8}{27} .[/tex]

Answer:

32 km/hr

Step-by-step explanation:

Firstly, you need to find the speed of both trains in km/hr.

Paolo's train= (70km x 60hr)/35= 120 km/hr

Monika's train= 684km/4.5hr= 152 km/hr

Then find the difference in speed:

152-120=32 km/hr

Answer:

B. Never

Step-by-step explanation:

that's just what my math teacher told us...

Answer:

Step-by-step explanation:

1 km = 0.62 mi

So, to convert 6 km to mi, multiply 6 by 0.62.

6km = 6* 0.62

        = 3.72 mi

1 L = 0.26 gal

To convert 2.5 L to gallon, multiply 2.5 by 0.26.

2.5 L = 2.5 * 0.26

         = 0.65 gal

1 lb = 0.45 Kg

To convert 90 lb to Kg, multiply 90 by 0.45.

90 lb = 90 *0.45

        = 40.5 Kg

Answer:

$15 is the answers

Step-by-step explanation:

please mark me as brainlest

Answer:

$ 35.00   is what you pay     $15.00 off original price

Step-by-step explanation:

30 % discount means you pay 70 %

$ 50 * .70 = $ 35 .00

The similar paperweight has a volume of 67.2 cubic cm if the height is 7 cm.

It is defined as a three-dimensional space enclosed by an object or thing.

As we know,

Volume = base area×height

38.4 = base area×4

base area = 38.4/4 = 9.6 square cm

A mathematically similar paperweight has a height of 7 cm.

Volume = base area×height

Volume = 9.6×7 = 67.2 cubic cm

Thus, the similar paperweight has a volume of 67.2 cubic cm if the height is 7 cm.

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