What is the domain of the function
y = √x

Answer:

90/360 x 3.14 x [tex]2^{2}[/tex]. (put into calculator)

Step-by-step explanation:

This is a sector of a circle we can see that there is a right angle (90 degrees) so we can say there is 90/360 of a circle.

The formula for the area of a circle is pi times radius squared.

We can use this but also need to use 90/360.

We can say the area of the shape is 90/360 x 3.14 x [tex]2^{2}[/tex].

Answer:

1) 59

2) 31

3) 59

4) 31

5) 31

6) 59

7) 118

8) 62

9) 62

10) 118

11) 31

Step-by-step explanation:

The angle marked 59 degrees is congruent to angles 1, 3, and 6. The angle marked 59 + angle 11 is 90 degrees because the shape is a rectangle, so 90-59=31. Angle 11 is congruent to angles 2, 4, and 5. Now that we know that the triangle on the left has two angles of 59 degrees and that the angle measures of a triangle add to 180, 59+59=118 and 180-118=62, so angle 9 is 62 degrees. Angles 8 and 9 are vertical angles and therefore are congruent. To find angles 10 and 7, we can use the same method: angles 4 and 5 are both 31 degrees, 31+31=62, so we subtract 62 from 180 to get 118. Angles 7 and 10 are also vertical angles, so they are both 118 degrees. I hope this helps!

Answer:

34

Step-by-step explanation:

Answer:

b=4 a=3

The first digit is 3 and the second 4 so the original number is 34

To be honest! It would be much quicker to solve by trial and error.

Explanation:

Building the equations

Let the first digit be  

a

Let the second digit be  

b

The first condition

a

+

b

=

7

...............................(1)

Step-by-step explanation:

Answer:

x < 2

Step-by-Step Explanation:

Answer:

[tex]x = 2[/tex]

Step-by-step explanation:

[tex]3\left(12x-16\right)=4\left(12-3x\right)[/tex]

First, let's solve the brackets. Use the distribution property. It simply means multiplying the value outside of the brackets to each value inside the brackets.

[tex]3\left(12x-16\right)[/tex]

[tex]=3\cdot \:12x-3\cdot \:16[/tex]

[tex]=36x-48[/tex]

[tex]4\left(12-3x\right)[/tex]

[tex]=4\cdot \:12-4\cdot \:3x[/tex]

[tex]=48-12x[/tex]

Now we've simplified the expression to:

[tex]36x-48=48-12x[/tex]

[tex]\mathrm{Add\:}48\mathrm{\:to\:both\:sides}[/tex]

[tex]36x-48+48=48-12x+48[/tex]

[tex]36x=-12x+96[/tex]

[tex]\mathrm{Add\:}12x\mathrm{\:to\:both\:sides}[/tex]

[tex]36x+12x=-12x+96+12x[/tex]

[tex]48x=96[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}48[/tex]

[tex]\frac{48x}{48}=\frac{96}{48}[/tex]

[tex]\bold{x=2}[/tex]

Therefore, the answer is [tex]x = 2[/tex]

The solution of the given equation [tex]0. 3(12x - 16) = 0. 4(12 - 3x)[/tex] is [tex]x=2[/tex].

[tex]0. 3(12x - 16) = 0. 4(12 - 3x)[/tex]

Use the simple rules of algebra like the BODMAS rule to get the equivalent expression for the given equation.

Firstly, open the brackets and then multiply the coefficients. In the next step arrange the terms to get the simplified solution.

On Solving the brackets, we get

[tex]3.6x-4.8=4.8-1.2x\\[/tex]

[tex]3.6 \ x+1.2 \ x=4.8+4.8[/tex]

[tex]4.8 \ x=9.6 \\x=\dfrac{9.6}{4.8} \\[/tex]

[tex]\ x= 2[/tex]

Hence, the solution of the given equation is [tex]x=2[/tex].

For more details about expressions follow the link:

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Answer:

a = StartFraction 11 over 88 EndFraction; b = 12.5 percent

a

because I did my research

Answer:

B. a=11/88 ; b=12.5%

Step-by-step explanation:

Answer:

  no

Step-by-step explanation:

In terms of area per hour, Bob's works at the rate of ...

  1460 ft²/(4 h) = 365 ft²/h

Rhonda's rate is ...

  753 ft²/(1.5 h) = 502 ft²/h

The rates are different, so they are not proportional.

___

Additional comment

Toni's rate is 803 ft²/(2.2 h) = 365 ft²/h . . . the same as Bob's

Bob's and Toni's rates are proportional.

The correct option is (B). [tex]3x+5y=29[/tex] And [tex]-3x-12y=-48[/tex].

Given Equations,

[tex]3x + 5y = 29......(1)[/tex]

[tex]x + 4y = 16.......(2)[/tex]

We have to find out  Which system of equations is equivalent to the Given system of Equations.

 1). System of equation are,

[tex]3x+5y=29\\-x-4y=16[/tex]

taking - common and transposing to R.H.S we get,

[tex]x+4y=-16[/tex]

This equation is not equal to equal (2), so the option (1) is not the system of equation equivalent to given Equations.

Similarly, on checking other options,

2. system of equation,

[tex]3x+5y=29\\-3x-12y=-48[/tex]

Taking -3 common from L.H.S. we get,

[tex]-3(x+4y)=-48\\\\x+4y=\dfrac{-48}{-3}[/tex]

[tex]x+4y=16[/tex].

Hence the Above system of equation is equivalent to the given system of equation.

So, there is no need to check option (3) and option (4).

Hence the correct option is (B).

For more details on Equations follow the link:

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Answer:

10x + 9

Step-by-step explanation:

3(2x + 2) +4x + 3

=> 6x + 6 + 4x + 3

=> 10x + 9

Therefore, 10x + 9 is the solved equation.

Hoped this helped.

[tex]GeniusUser[/tex]

3(2x + 2) + 4x + 3

6x + 6 + 4x + 3

10x + 6 + 3

10x + 9

Answer is that 10x + 9 is equal to 3(2x+2) + 4x + 3

Answer:

x = 33

Step-by-step explanation:

11 - 4 = 7

You need to make that fraction equal 11

33/3 = 11

I hope this helps!

Answer:

No

Step-by-step explanation:

By the Factor theorem

If (x - h) is a factor of f(x) then f(h) = 0

Here (x - 2) with h = 2 and

f(x) = x³ - 3x² - x + 7 , then

f(2) = 2³ - 3(2)² - 2 + 7 = 8 - 3(4) + 5 = 8 - 12 + 5 = 1

Since f(2) ≠ 0 then (x - 2) is not a factor of f(x)

Answer:

x-intercepts(-7,0)

y-intercepts(0,-2)

Step-by-step explanation:

Step-by-step explanation:

The x-intercept is (-7,0)

The y-intercept is (0,2)

Answer: The variable that will be eliminated when the equations are combined after the multiplication is y.

Step-by-step explanation: Happy to help :D

Answer:

30°, 210°, 390°

Step-by-step explanation:

Given

f(x ) = 0 has solutions 0°, 180°, 360° , then

f(x - 30) = 0

Add 30° to each of the solutions of f(x) = 0

(0 + 30)° = 30°

(180 + 30)° = 210°

(360 + 30)° = 390°

Answer:

The ninth piece is 0.5 feet long

Step-by-step explanation:

176 divided by 9

Hope this helps!

Answer:

Step-by-step explanation:

To find out ∠B, we need to find out what is ∠A. We are given one clue that the outer angle of ∠A is 143°. Can we use this clue and find out ∠A? Let's find out!

Since we have found ∠A, we can now find ∠B.

Conclusion:

We have finally found out our answer and our answer is '∠B = 82°'.

[tex]GeniusUser[/tex]

Answer:

[tex]a_{15}=-268,435,456[/tex]

Step-by-step explanation:

First, find what factor each term is multiplied by to get to the next. To do this, divide the second term by the first, the third term by the second, etc

[tex]4\div-1=-4\\-16\div4=-4\\64\div-16=-4[/tex]

The common factor is 4. Using that, you can now write the equation for the geometric sequence in the form of:

[tex]a_n=a_1x^{n-1}[/tex]

It looks scarier than it is. aₙ is the nth term in the sequence, x is the factor, and n is the index in the sequence, that's all it is.

Plug in the information we have to get the equation for this sequence:

[tex]a_n=(-1)(-4)^{n-1}[/tex]

Then, you can solve for the 15th term:

[tex]a_{15}=(-1)(-4)^{15-1}\\a_{15}=(-1)(-4)^{14}\\a_{15}=(-1)(268,435,456)\\a_{15}=-268,435,456[/tex]

Basically, just raise the scale factor to the power of the term you want minus 1, then multiply that by the first number.

1.

The new system of equivalent equations are 4x + 6y = 8 and 12x + 3y = 1

To get an equivalent equation, we multiply the original equation by a constant and replace it with the new equation.

So, 2x + 3y = 4 (1)

12x + 3y = 1 (2)

We multiply equation (1) by 2

So, 2x + 3y = 4 (1) × 2

⇒4x + 6y = 8 (3)

Replacing (1) by (3), we have

4x + 6y = 8 (3)

12x + 3y = 1 (2)

So, the new system of equivalent equations are 4x + 6y = 8 and 12x + 3y = 1.

2.

The new system of equivalent equations are 3x - 21y = 24 and 5x + 4y = 20

To get an equivalent equation, we multiply the original equation by a constant and replace it with the new equation.

So,

x - 7y = 8  (1)

5x + 4y = 20 (2)

We multiply equation (1) by 3, we have

So, x - 7y = 8 (1) × 3

⇒3x - 21y = 24 (3)

Replacing (1) by (3), we have

3x - 21y = 24 (3)

5x + 4y = 20 (2)

So, the new system of equivalent equations are 3x - 21y = 24 and 5x + 4y = 20.

Learn more about equivalent equations here:

https://brainly.com/question/2972832

Answer:

x is 24°

Step-by-step explanation:

angles substended by the same chord or arc....90-66= 24°.

Answer:

5

Step-by-step explanation:

f(x) = x² - 3x + 5

f(0)

putting x as 0 in the equation

f(0) = 0² - 3(0) + 5

= 0 - 0 + 5

= 5

Answer:

6.4, 7.5, 8.6adding 1.1 each time

Answer:

e

Step-by-step explanation:

e

Answer:

30+48+x=180

x=102 ..........

..................

Answer:

[tex]\frac{1}{4}[/tex] is larger than [tex]\frac{3}{14}[/tex]

[tex]\frac{1*14}{4*14}[/tex] = [tex]\frac{14}{56}[/tex]

[tex]\frac{3*4}{14*4}[/tex] = [tex]\frac{12}{56}[/tex]

i cant tell if it is [tex]\frac{1}{4}[/tex] or 2 [tex]\frac{1}{4}[/tex]

but if it is 2 [tex]\frac{1}{4}[/tex] that mean this is a mixed number

and [tex]\frac{3}{14}[/tex] is a proper fraction

Answer:

61

Step-by-step explanation:

b(a + b) + a

First, distribute b to a+b

ba + b^2 + a

Now, substitute values

9(4) + 4(4) + 9

36 + 16 + 9 = 61

-Chetan K

Answer:

-3 and 5

Step-by-step explanation:

-3*5=-15

-3+5=2

Answer:

-3 and 5

Step-by-step explanation:

-3×5 I'd -15

also -3+5 is 2

Answer:

d > -39

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3