Triangle PQR is transformed to similar triangle P'Q'R':
What is the scale factor is diliation?
1.) 1/2
2.) 1/3
3.) 1/4
4.) 1/5

Answer:

[tex]n(3n^2+9n-10)[/tex]

Step-by-step explanation:

Well you'll notice each of the components in the equation have a factor of "n". Each of them are being multiplied by at least one "n". This means we can factor out this "n" to get the following result: [tex]n(3n^2+9n-10)[/tex]

This is just the reverse of the distributive property: [tex](a+b)c=ac+bc[/tex] except you're going from ac + bc -> (a+b)c

The number of students passed is 152 and who failed is 38.

This problem is from the chapter of linear equation in one variable.

right here, it's far for the reason that the overall quantity of college students enrolled in the chemistry class is =190

And additionally the whole variety of students who passed is 4 instances the quantity of college students failed.

allow the total range of students who failed is x.

So, the number of students who passed is 4x.

According to question,

  4x + x=190

⇒5x=190

⇒x=[tex]\frac{190}{5}[/tex]

∴ x = 38

So, the number of students who failed is 38 and the number of students who passed is 152.

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Answer: Any line with slope of -3/4

Reason:

Let's calculate the slope of the line through those two points

[tex](x_1,y_1) = (1,3) \text{ and } (x_2,y_2) = (4,7)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{7 - 3}{4 - 1}\\\\m = \frac{4}{3}\\\\[/tex]

The slope of the line is 4/3

Anything perpendicular to this has a slope of -3/4. I flipped the fraction and flipped the sign (from positive to negative).

So for example, the answer may be something like [tex]y = -\frac{3}{4}x+5[/tex] or [tex]y = -\frac{3}{4}x-2[/tex]. All that matters is the -3/4 out front of the x.

Side note: the original slope 4/3 and perpendicular slope -3/4 multiply to -1

Answer

this question is impossible no expert can solve this!11!1!!!

Step-by-step explanation:

none

There are -5 limbs does the mutant zombie has compared to yesterday in linear equation.

What in mathematics is a linear equation?

Now,

Based on the given conditions, we formulate;

5 - 12 + 2

Calculate the sum or difference = - 7 + 2 = -5

We get the result = -5

Therefore, There are -5 limbs does the mutant zombie has compared to yesterday.

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Answer:

19,,

Step-by-step explanation:

The smallest integer is 4.

Let the numbers be x, x+1 and.x + 2.

Therefore, the expression will be:

x + x + 1 + x + 2 = x(x + 2) - 9

3x + 3 = x² + 2x - 9

Collect like terms

x² + 2x - 9 - 3x - 3

x² - x - 12 = 0

x² -4x + 3x - 12

x(x - 4) + 3(x - 4)

x - 4 = 0

x = 0 + 4 = 4

The smallest number is 4.

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Answer:

Step-by-step explanation:

Not Sure

Area of PNQ + Area of LPQ = Area of LQM

Area of LQM = 8cm² + 16cm²

Area of LQM = 24cm²

Using proportions, it is found that:

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

On the horizontal axis, each tic represents 5 seconds, hence:

3 x 5 = 15 seconds.

The time represented by the third tic mark on the horizontal axis is of 15 seconds.

On the vertical axis, each tic represents 9 meters, hence:

4 x 9 = 36 meters.

The position represented by the fourth tic mark on the vertical axis is of 36 meters.

When t = 3 x 5 = 15s, y = 2 x 9 = 18m, hence:

The position at t = 15s is of 18 m.

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Using translation concepts, the point that lies on the new graph is given by: (-1, -4).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

The equivalent translation to an horizontal shrink by a factor of a a function f(x) is given by:

f(ax).

Hence, in this problem, for the horizontal shrink by a factor of 4, the function will be given by:

g(x) = f(4x) = 4x.

Then when x = -1, the output is given by:

g(-1) = 4(-1) = -4.

The point that lies on the new graph is given by: (-1, -4).

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The correct answer for the following question is [tex]672.227[/tex]

As per the question statement, we have to find a number that has 7 in tens and thousandths places, 2 in the hundredths, tenths and ones places and 6 in the hundreds place.

Before solving this question, we need to know about decimal place values and its operations.

Solving as per given statements,

7 in tens place, [tex]7*10=70[/tex]

7 in thousandths place, [tex]7*\frac{1}{1000} =0.007[/tex]

2 in hundredths place, [tex]2*\frac{1}{100} =0.02[/tex]

2 in tenths place, [tex]2*\frac{1}{10} =0.2[/tex]

2 in ones place, [tex]2*1=2[/tex]

6 in hundreds place, [tex]6*100=600[/tex]

Adding the above values and we will get 672.227

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Answer:

17280

Step-by-step explanation:

И для этих 4 книг, сложенных вместе, возможное расположение будет следующим: 4 х 3 х 2 х 1 = 24. Всего возможные способы расположения 9 книг будут: 720 х 24 = 17280.

If the function is reflected across the y-axis of the graph of f, the resulting function will be g(x) = 4x + 1

Translation is the technique that is used to change the position of a figure on an xy-plane.

For instance, if the function f(x) is reflected in the y-axis, the resulting function will be g(x) = f(-x)

Given the function f(x) = -4x+1 if the function is reflected in the y-axis of the graph of f.f, the resulting function will be;

g(x) = f(-x)

g(x) = -(-4x) + 1

g(x) =4x + 1

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Greetings from Brasil...

V = πr²h   -   isolating h

Answer:

does ² mean ×2?

cuz if it does that maybe I can help

Answer:

it's a very easy question.

let the unknown point be x,y.

Snail will have to travel shortest distance of (C) 11 cm

The shortest distance between vertex A and vertex B will be the line directly joining the two points. This line is called diagonal and is related with length, width and height by the formula -

Diagonal = ✓(l² + w² + h²), where l represents length, w represents width and h represents height. Keep the values in formula -

Diagonal = ✓(4² + 4² + 10²)

Taking square of the number

Diagonal = ✓(16 + 16 + 100)

Performing addition on Right Hand Side of the equation

Diagonal = ✓132

Taking square root

Diagonal = 11.49 cm

Therefore, the shortest distance needed to be travelled by snail is (C) 11 cm.

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The unknown number will be 31, if -16 is added to it and the sum is doubled, the result is 1 less than the number.

Let the unkown number be x.

Now according to the given question.

If -16 is added to the unknown number and the sum is doubled, the result is 1 less than the number.

⇒  (x + (-16))2 = x - 1

⇒ 2x - 32 = x - 1

⇒ 2x - x = -1 + 32

⇒ x = 31

Hence, the unknown number will be 31, if if -16 is added to it and the sum is doubled, the result is 1 less than the number.

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We use the slope equation to solve for the slope/gradient of a line:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We're given:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Plug in the given information:

[tex]-\dfrac{1}{6}=\dfrac{-6-y}{4-(-2)}\\\\-\dfrac{1}{6}=\dfrac{-6-y}{4+2}\\\\-\dfrac{1}{6}=\dfrac{-6-y}{6}[/tex]

Cross multiply (by multiplying the numerators by the opposite denominators):

[tex]-\dfrac{1}{6}=\dfrac{-6-y}{6}\\\\-1\times 6=6(-6-y)\\-6=-36-6y\\30=-6y\\y=-5[/tex]

y = -5

Answer:

No solution.

Step-by-step explanation:

Simplify the equation.

2(x + 5) + 5 = 6x - 4(-5 + x)           {Use distributive property}

2*x + 2*5 + 5 = 6x - 4*(-5) + (-4) * x

2x + 10 + 5    = 6x + 20 - 4x      

  2x + 10 + 5 = 6x - 4x + 20  {Combine like terms}

        2x + 15 = 2x  + 20

                This equation has no solution.

The algebraic expression of the statement is 2n - 7 = 9

The mathematical statement is given as;

The Difference of twice a number(n) and 7 is 9

Twice a number n means 2n

So, we have

The Difference of 2n and 7 is 9

Difference means minus

So, we have

2n - 7 = 9

Hence, the algebraic expression of the statement is 2n - 7 = 9

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There is 50% increase in the change in the volume of cylinder A to A

The formula for the volume of the cylinder is given as

         V = Πr^2h              (1)

  Where, r = radius of the cylinder

                h = height of the cylinder

We have been given the radius and height of cylinder A which are,

       r = 10 inches

       h = 5 inches

Now putting the required values in equation (1) we get

 V = Π(10)^2(5) cubic inches

 V = Π*100*5 cubic inches

V = 500Π cubic inches

We have also been given the volume of cylinder B = 750Π

Thus percentage change in volume of cylinder = (750Π - 500Π)/500Π * 100

                                                                                   = 50%

Hence there is 50% increase in the change of the volume from cylinder A to B

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The incorrect option is d) 7/8 > 10/11.

a) 3 / 11 < 5/13

3/11 = 0.2727

5/13 = 0.3846

As it is given 3/11 < 5/13

hence a) 3 / 11 < 5/13 is correct.

b) 5/6 < 7/8

5/6 = 0.8333

7/8 = 0.875

As it is given 5/6 < 7/8

hence b) 5/6 < 7/8  is correct.

c) 2/3 > 1/2

2/3 = 0.6666

1/2 = 0.5000

As it is given 2/3 > 1/2

hence c) 2/3 > 1/2 is correct.

d) 7/8 > 10/11

7/8 = 0.8750

10/11 = 0.9090

As it is given  7/8 > 10/11

hence d) 7/8 > 10/11 is incorrect.

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The length of the building in the drawing wiil be 20 cm if the scale is 1cm:2m.

Let the length of the building in the drawing be x.

According to the given question.

Tara measured a boarding school and made a scale drawing. she used the scale 1 centimeter : 2 meters.

So, the given sclae is 1cm : 2m

Also, the actual length of the bulding at the school is 40 meters.

Since, we have to find the the length of the building in the drawing.

Now by the proportional formula we can say that

x : 40 = 1 : 2

⇒ 2x = 40

⇒ x = 20 cm

Hence, the length of the building in the drawing wiil be 20 cm if the scale is 1cm:2m.

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Answer:

if your doing IXL than 20cm is correct

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

Answer:

21÷3=3×÷3

7=×

-x=-7

x=7

22=y

-y=-22

y=22

Using the relation between velocity, distance and time, the distance of the plane ride between Los Angeles and New York is of 270 miles.

Velocity is distance divided by time, hence the following equation is built to model the relationship between these variables:

v = d/t.

For the Los Angeles to New York trip, we have that the time is of 5 hours, hence:

v = d/5.

v = 0.2d.

For the return trip, we have that the time is of 6 hours, while the velocity is 99 mph slower, hence:

v - 99 = d/6.

From the first equation, we have that:

v = 0.2d.

Replacing on the second:

0.2d - 99 = d/6.

d(0.2 + 1/6) = 99

0.3667d = 99

d = 99/0.3667

d = 270 miles.

The distance of the plane ride is of 270 miles.

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Answer:

they are the same angular size. If you put them on top of each other it would be the same.

The solution to the given inequality are x  ≤ 7, and (-∞, 7).

Inequality expressions are expressions that are not separated by an equal sign.

For the statement "14 less twice the sum of m and 12 is at most 24", it is expressed as:

2(x+12)-14 ≤ 24

Simplify

2x + 24 - 14  ≤ 24

2x + 10  ≤ 24

2x  ≤ 24 - 10

2x ≤ 14

Divide both sides by 2

x  ≤ 14/2

x  ≤ 7

Hence the solution to the given inequality are x  ≤ 7, and (-∞, 7).

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Answer:

I=Prt

I/Pr=Prt/Pr

t=I/Pr