Part 1: Determine the domain.
DOMAIN:

Answer:

Step-by-step explanation:

Multiply the numerator and denominator by the conjugate.

Exact Form:

3 √ 2 /2

Decimal Form:

2.12132034

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Answer:

a)      [tex]3\sqrt{3}[/tex]

Step-by-step explanation:

Step(i):-

Given     - 2 √3 + √75

     we know that        25 × 3 = 75

                 - 2 √3 + √75    

            =    -2 √3 + [tex]\sqrt{25 X 3}[/tex]

By using

       [tex]\sqrt{ab} = \sqrt{a} \sqrt{b}[/tex]

          =  [tex]-2\sqrt{3} + \sqrt{25} X \sqrt{3}[/tex]

         =  [tex]-2\sqrt{3} + 5 \sqrt{3}[/tex]

        = [tex](-2 + 5 ) \sqrt{3}[/tex]

       = [tex]3\sqrt{3}[/tex]

Step-by-step explanation:

the proof is given above

Step-by-step explanation:

In Triangle ICU,

Angle 2 = 180° - Angle 1 (Angles on a straight line)

CR = CU - RU

In Triangle ISR,

Angle 3 = 180° - Angle 4(Angles on a straight line)

SU = RS - RU

Angle 1 = Angle 4

Therefore, Angle 2 is equal to Angle 3

CU = RS

Therefore, CR is equal to SU

Triangle ICR and Triangle ISU

IC = IS

Angle 2 = Angle 3

CR = SU

Therefore, Triangle ICR and Triangle ISU are congruent (SAS congruency).

As the two triangles are congruent, Angle CIR = Angle SIU

Answer:

C=14π

Step-by-step explanation:

C=2πr

14 is the diameter. radius is half of diameter. r=7

C=2π(7)

C=14π

Answer:

7/y=3x

(3x)y=7

y=7/3x

Answer:

Step-by-step explanation:

1. No it is not a solution and doesn't work

2. Yes it does work for both

3. Only works for the first one

Answer:5

Step-by-step explanation: the gcf for both number are 5, 20: 5*4. 35: 5*7

Answer:

A

Step-by-step explanation:

Answer:

it minus one or -1

Step-by-step explanation:

because 4 has more minus than 3 plus

Answer:

C. 5d - 5 = 5-5d

Step-by-step explanation:

Just factor out the 3:

3m + 3n = 3 (m + n)

Answer:

Statistics can help solving data quantitative analysis data.

Step-by-step explanation:

Statistics can help solving data quantitative analysis data.

Examples of questions, that statistics can help provide answers to

    Ans : It can be found out by calculating mean , median , mode

   Ans : It can be found out by calculating standard deviation, variance

An example of a question statistics can help you answer is: What is are the socio-economic characteristics of people living in Texas?

Using frequency count and percentage, we can determine the gender, age distribution, occupation and other demographics of the population of people living in Texas.

Therefore:

Learn more about statistics on:

https://brainly.com/question/12150562

Answer:

B

Step-by-step explanation:

rules:

add outside the function : f(x) ± a;  will shift  a + up / a- down

add inside the function: f(x ± a); will shift a + left  / a- right

so if

f(x)  becomes f(x) -4  will be shifting down 4 units

Answer:

[tex]Company: 43 + 24.75h[/tex]

Step-by-step explanation:

Given

Hamda:

[tex]Project\ Fee = 25[/tex]

[tex]Hourly\ Rate = 10.50[/tex]

Layla:

[tex]Project\ Fee = 18[/tex]

[tex]Hourly\ Rate = 14.25[/tex]

Required

Derive an expression for total pay

Represent the number of hours with h.

For Hamda and Layla, their pay for h hours is:

[tex]Pay = Project\ Fee + Hourly\ Rate * h[/tex]

For Hamda, we have:

[tex]Hamda : 25 + 10.50 * h[/tex]

[tex]Hamda : 25 + 10.50 h[/tex]

For Layla, we have:

[tex]Layla: 18 + 14.25 * h[/tex]

[tex]Layla: 18 + 14.25 h[/tex]

For h hours, the company will pay:

[tex]Company: Hamda + Layla[/tex]

[tex]Company: 25 + 10.50h + 18 + 14.25h[/tex]

Collect like terms

[tex]Company: 25 + 18 + 10.50h + 14.25h[/tex]

[tex]Company: 43 + 24.75h[/tex]

Answer:

193

Step-by-step explanation:

according to the question

w²=x²+v²-2xv.cos(<w)

w=√160²+150²-2.160.150.cos(77)°

w=√48100-48000cos(77°)

w=193

Answer:

193

Step-by-step explanation:

delta math

Answer:

if x = -9

then, (-9)×(-9) + 3

= 81 +3

= 84

(-9) + 6

= -3

so, ans is = 84/(-3)

= (-84)/3

Answer:

4 hours and 20 minutes!

Answer:

Step-by-step explanation:

PM or AM?

If it is 9:30 AM to 1:50 PM, it is 4 hours and 20 minutes.

if it is 9:30 PM to 1:50 AM, it is also 4 hours and 20 minutes.

If it is 9:30am to 1:50 AM, it is 16 hours and 20 minutes.

Answer:

Evaluate if a = 2 , b = 3, and c = -4 :

Step-by-step explanation: that the answer

Answer:

3 = s - 2

s = 3 - 2

s = 1

what was hard lol

Answer:

do do do do to stop do so at to do do d

Answer:

4+2k

Step-by-step explanation:

You multiply them out.

2 x 2=4, and 2 x k =2k. Combine them. 4+2k.

Hope I helped!

The length of each side of the square is; 20.5cm

Since, all sides of a square have equal lengths;

7x +3 = 5x +8

2x = 8 -3

2x = 5

x = 5/2

x = 2.5

By substituting x into either of the expressions! we have;

Read more on squares;

https://brainly.com/question/2279006

Answer:

v is equal to 6

Step-by-step explanation:

Answer: v=2√6 or v=−2√6

Step-by-step explanation:

Answer:

F.y-axis

Step-by-step explanation:

y axis is the answer because 0 is starting.

The given point

(0,4)

is on the positive segment of the y-axis.

Answer:

x-intercepts: x =-1, x=-3 when y=0

y-intercept, y=3, when x =0

axis of symmetry x = -2

Step-by-step explanation:

We are given the function: [tex]g(x) = x^2+4x+3[/tex]

We need to draw the graph for

of the given function.

For finding x-intercept put y=0, in the given function, we will put g(x) =0

We know that: g(x)=y

[tex]y=x^2+4x+3[/tex]

Putting y=0, we get:

[tex]0=x^2+4x+3[/tex]

Now, we need to solve the equation by factorization, to find value of x

[tex]0=x^2+4x+3\\We\:can\:write\\x^2+4x+3=0\\x^2+3x+x+3=0\\x(x+3)+1(x+3)=0\\(x+1)(x+3)=0\\x+1=0\:or\:x+3=0\\x=-1\:or\:x=-3[/tex]

So, we get x-intercepts: x =-1, x=-3 when y=0

For, finding y-intercept, put x =0

Putting x=0

[tex]g(x)=x^2+4x+3\\We\:know\:g(x)=y\\y=x^2+4x+3\\y=(0)^2+4(0)+3\\y=3[/tex]

So, we get y-intercept, y=3, when x =0

The formula used to calculate axis of symmetry is: [tex]x = \frac{-b}{2a}[/tex]

We have b=4 and a = 1

Putting values and finding axis of symmetry

[tex]x =-\frac{b}{2a} \\x=-\frac{4}{2(1)}\\x=-2[/tex]

So, we get axis of symmetry x = -2

We will also be requiring vertex of the function:

We can find h = -b/2a (same as axis of symmetry) we get h =-2

k can be found as k=f(h)

Put h=-2 in the function:

g(-2)=(-2)^2+4(-2)+3

g(-2)=4-8+3

g(-2)=-1

So, we get k = -1

The vertex (h,k) is (-2,-1)

Now, the graph is attached in figure below.

If x + 3y = 1, then x = 1 - 3y.

Then in the second equation, replace x with 1 - 3y :

-x + 2y = 4

- (1 - 3y) + 2y = 4

-1 + 3y + 2y = 4

-1 + 5y = 4

5y = 5

y = 1   →   x = -2

since x = 1 - 3•1 = 1 - 3 = -2.

Alternatively, you can instead solve for y in the first equation, so that if x + 3y = 1, you get

x + 3y = 1

3y = 1 - x

y = (1 - x)/3

Then replace y in the second equation:

-x + 2y = 4

-x + 2 ((1 - x)/3) = 4

-x + 2/3 (1 - x) = 4

Multiply both sides by 3 to get rid of the fraction:

-3x + 2 (1 - x) = 12

-3x + 2 - 2x = 12

-5x + 2 = 12

-5x = 10

x = -2   →   y = 1

since y = (1 - (-2))/3 = (1 + 2)/3 = 3/3 = 1.