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Geometry and the circle

Answer:

The to 42 x 42 is 1764

Step-by-step explanation:

22 x 22 = 484

The equation f(x)=x² + 2x is a quadratic equation, and it passes through the points (0,0) and (1,3)

The equation is given as:

f(x)=x² + 2x

Set x = 0

f(0)= 0² + 2(0) = 0

Set x = 1

f(1)= 1² + 2(1) = 3

The above means that the equation f(x)=x² + 2x passes through the points (0,0) and (1,3)

See attachment for the graph of f(x)=x² + 2x

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Answer:

Answer is in attached picture

Step-by-step explanation:

There are no real solutions for the value of 'x'. The two solutions are complex. The fully simplifed answers would be:

x = 4 + 5i*sqrt(7)

x = 4 - 5i*sqrt(7)

Answer:

Step-by-step explanation:

For the mean you add all the numbers up and divide it by how many numbers there are (hence why it's the meanest!)

For the median you need to arrange the number in order of value/size and fine the middle number

Answer:

36.56

Step-by-step explanation:

the area of a circle is r^2×pi (here 2^2×pi) then add the area of the middle rectangle (so 4×6)

Answer:

Ricky had 1201 hits and

Pedro hade 1481 hits

Step-by-step explanation:

Let Ricky be 'y'.

Since, Pedro hit 280 mroe than Ricky.

Pedro is 'y+ 280'

Thus,

y + y+ 280 = 2682

2y = 2402

y = 1201

Ricky had 1201 hits and

Pedro hade 1201 + 280 = 1481 hits

Answer:

See below ~

Step-by-step explanation:

Let :

Solving :

Solution :

Answer:

0.43%

Step-by-step explanation:

In order to change a decimal to a percentage, you multiply it by 100. You can also move the decimal point to the right two times. By doing so, you get 0.43%. Someone tell me if I did it wrong please.

Answer:

equate the two euations

y = 2x - 1 multiply by 4

4y = 8x - 4 equate with the second equation

5x - 4y = 1

5x = 8x - 4 + 1

8x - 5x = 3

3x = 3

x = 1

substitute for x in any of the two equations

y = 2x - 1

y = 2(1) - 1

y = 2 - 1

y = 1

Therefore, according the solution we have got.

Yes, (1,1) is a solution to the system.

By using the reciprocal identity the value   [tex]Sin \theta[/tex] will be  [tex]\dfrac{5}{27}{[/tex]

In trigonometry, quotient identities refer to trig identities that are divided by each other.

So here we have

[tex]Cosec\theta = \dfrac{27}{5}[/tex]

Now we have to find the reciprocal identity,

[tex]Sin\theta=\dfrac{1}{Cosec\theta}[/tex]

[tex]Sin\theta}=\dfrac{1}{\dfrac{27} { 5} }[/tex]

[tex]Sin\theta=\dfrac{5}{27}[/tex]

hence by using the reciprocal identity the value   [tex]Sin \theta[/tex] will be  [tex]\dfrac{5}{27}{[/tex]

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Answer:

42

Step-by-step explanation:

well , here we can find the unknown variable which is X

127 = 3X+2 ( vertically opposite angles are equal)

127 = 3X+2

3x+2= 127

collecting like terms

3x = 127-2

3x = 125

dividing bothsides by 3

3x/3 = 125/3

x = 41.66

x = 42 (approximately)

Answer:

slope = 1

y intercept = (0,8)

Step-by-step explanation:

the equation y = x + 8 is put in y = mx + b form

where m = slope and b = y intercept

in the equation y = x + 8 , the value of "m" is 1 meaning the slope is 1 and the value of "b" is 8 so the y intercept is (0,8)

Answer:

m = 1 and b = 8

Step-by-step explanation:

y = x + 8

Here the slope is 1, since y = mx+ b. m is the slope so m = 1. b is the

y-intercept so b=8

Answer:

Option D, [tex]16\ units[/tex]

Step-by-step explanation:

Step 1:  Determine the perimeter

[tex]P = 2(l + w)[/tex]

[tex]P = 2(5\ units + 3\ units)[/tex]

[tex]P = 2(8\ units)[/tex]

[tex]P = 16\ units[/tex]

Answer:  Option D, [tex]16\ units[/tex]

Step-by-step explanation:

7km/hr and 13km/hr

Because in this case we divide the total time taken will be 10km/hr but according to the question we have to subtract 3km/hr and also have to add 3km/hr. There for there for there average speed of friends with wind was 7km/hr and friends without wind will be 13km/hr.

Answer:

10.8 km/h to the nearest tenth.

Step-by-step explanation:

Let x be the average with no wind.

Speed = distance / time

With the wind:

x + 3 = 15 / t           A        where t = time in hours for the first half of journey

Against the wind:

x - 3 = 15/(3 - t)       B

Subtract A - B:

6 = 15/t - 15(3 - t)

6t(3 - t) = 15(3 - t) - 15t

18t - 6t^2 = 45  - 30t

6t^2 - 48t + 45 = 0

2t^2 - 16t + 15 = 0

t = - 1.085

So average speed (from equation B)

x = 15/ (3 - 1.085) + 3

  = 10.8 km/h to the nearest tenth.

Answer:

Pictograph is the least accurate!

Step-by-step explanation:

Because pictographs have specific pictures and you need to divide it specifically whereas other graphs, you can just graph your information and it'll be accurate.

Answer: 12+17+8+13=50, meaning that if we wanted to scale the amount of marbles to 250, we would need to multiply by 5.

So, if we multiply each amount of marbles times 5, that would give us:

60 red marbles

85 blue marbles

40 yellow marbles

65 white marbles

now, the probability of selecting a red or white marble from the jar of 250 marbles, you would need to add together the amount of white and red marbles, and divide that by 250.

60 + 65= 125 / 250

Wwe could stop there if the question wants the answer in fractions, and just simplify, but if it needs the answer in a percentage, then you would still divide 125 by 250.

125/250=0.5

0.5 is equal to 50%

(If the fraction needs to be simplified it would be 5/10, which is also 1/2.)

Answer:

Below.

Step-by-step explanation:

The value of r + x is always irrational.

The value of r. s is sometimes irrational:

- for example √2 * √3 = √6 which is irrational,

but √3 * √3 = √9 = 3 which is rational.

Answer:

11

Step-by-step explanation:

48 = 4x + 4                           two of its angles are equal in measurement

- 4          - 4

44 = 4x

----    ----

 4       4

11 = x

Answer:

18.7

Step-by-step explanation:

110 % = 1.1

17 x 1.1 = 18.7

ALSO:

percentages are reversible which means that you can also do 17% of 110 which makes it seem more normal.

17% of 110 is also 18.7

Answer: Heyaa! ^

18.7 is 110% of 17 ~ Making your answer be 18.7

Step-by-step explanation:

Evaulte the problem..

Hopefully this helps you! ~

Answer:

c) 18/25

Step-by-step explanation:

The total of all votes is 1000.

The total of all 'agree' votes is 420.

Since it is either agrees or is a man, we can add the 300 disagree male votes to 420, making 720 / 1000.

From there we simplify 720 / 1000 -> 18 / 25

[tex]\textit{Sum and Difference Identities} \\\\ sin(\alpha - \beta)=sin(\alpha)cos(\beta)- cos(\alpha)sin(\beta) \\\\ cos(\alpha - \beta)= cos(\alpha)cos(\beta) + sin(\alpha)sin(\beta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ sin(A-B+C)\implies sin[~(\stackrel{Z}{A-B})~+C]\implies sin(Z+C) \\\\\\ sin(Z)cos(C)+cos(Z)sin(C)\implies sin(A-B)cos(C)+cos(A-B)sin(C) \\\\[-0.35em] ~\dotfill\\\\ \textit{and since we know that}\\\\ sin(A-B)\implies sin(A)cos(B)-cos(A)sin(B)[/tex]

[tex]cos(A-B)\implies cos(A)cos(B)+sin(A)sin(B)\\\\ then \\\\[-0.35em] ~\dotfill\\\\\ [sin(A)cos(B)-cos(A)sin(B)]cos(C)+[cos(A)cos(B)+sin(A)sin(B)]sin(C) \\\\\\ ~\hfill \begin{array}{cllll} sin(A)cos(B)cos(C)-cos(A)sin(B)cos(C)\\\\ +\\\\ cos(A)cos(B)sin(C)+sin(A)sin(B)sin(C) \end{array}~\hfill[/tex]

The table that correctly describes the given quadratic equation is table D.

A general quadratic equation is written as:

[tex]y = a*x^2 + b*x + c[/tex]

The y-intercept is the point (0, c), and the sign of the coefficient a determines if it opens up or down.

In this case, the quadratic equation is:

[tex]y = -2x^2 + 4[/tex]

Then we have:

The y-intercept is (0, 4), and because a is negative, the parabola opens down.

Then the correct table is table D.

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Step-by-step explanation:

The series of numbers that meets the 

requirements is 5+6+8+9+4+6+7+3+9+2+8+9+1.

How to check that the series meets the requirements?

To verify that the series meets the requirements, we must establish what the requirements are:

●Every 3 consecutive numbers must add up to 19.

●In total there must be 14 numbers.

●The total sum of all the numbers must be 77

To verify that every 3 consecutive numbers add  up to 19, we separate them into 4 groups of 3 and one number is left over.

5 + 6 + 8 = 19

9 + 4 + 6 = 19

7 + 3 + 9 = 19

2 + 8 + 9 = 19

In total there must be 14 numbers and they must add up to 77.

5+6+8+9+4+6+7+3+9+2+8+9+1 = 77

Answer:

53.5

Step-by-step explanation:

First, set the numbers out as a data set:

{51 , 51 , 52 , 53 , 54 , 54 , 54 , 55}

The median is the number that is found in the middle of the set. In this case, there are 8 numbers, and the middle numbers are 53 & 54. Find the mean of the numbers:

(53 + 54)/2 = (107)/2 = 53.5

53.5 is your answer.

~

The value of the x is 2 and the value of the y is 0 in the system of equation 3y=x-2, y=-2x+4.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have a system of the equation:

3y=x-2 ..(1)

y=-2x+4  ...(2)

From the equation (2) take the value of y and plug in the equation (1)

3(-2x+4) = x -2

-6x + 12 = x - 2

7x = 14

x = 14/7

x = 2

Plug this value in the equation (2)

y = -2(2) + 4

y = 0

Thus, the value of the x is 2 and the value of the y is 0 in the system of equation 3y=x-2, y=-2x+4.

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Answer: ya were right its 135

Step-by-step explanation:

we kno that QRS is 180 degrees.

so to get QRT we subtract 45 from 180.

180 - 45

135

ya were right

Answer:

135

Step-by-step explanation:

QRT and TRS add to 180

180-45=135

Here's the link to the answer:

https://riverside.rocks/index.php

Answer:

1/2x=10

x=20

Step-by-step explanation:

x=5 because 1/2x-6=4

Move the other side and divide 1/2 by 10. dividing by 1/2 is the same as multiplying by 2 so the answer is 20

Answer:

x = 20

Step-by-step explanation:

       [tex]\sf \dfrac{1}{2}*(x-12)=4\\\\Multipy \ the \ entire \ equation \ by 2\\\\ 2*\dfrac{1}{2}(x - 12) =2*4\\\\[/tex]

              x -  12   = 8

Add 12 to both sides,

                    x = 8 + 12

                    [tex]\sf \boxed{x = 20}[/tex]

Answer:

I think it is 15. if I am wrong sorry, but if I am right mark brainliest!!