Which choice is equivalent to the fraction below when x >= 2

Which Choice Is Equivalent To The Fraction Below When X >= 2

Answers

Answer 1

B. [tex]2( \sqrt{x} + \sqrt{x - 2} )[/tex] ✅

Step-by-step explanation:

[tex] \frac{4}{ \sqrt{x} - \sqrt{x - 2} } \\\\ = \frac{4}{ \sqrt{x} - \sqrt{x - 2} } \times \frac{ \sqrt{x} + \sqrt{x - 2} }{ \sqrt{x} + \sqrt{x - 2} } \\ \\ = \frac{4( \sqrt{x}) + 4( \sqrt{x - 2} )}{( { \sqrt{x} )}^{2} - { (\sqrt{x - 2} })^{2} } \\ \\ [∵(a + b)(a - b) = {a}^{2} - {b}^{2} ] \\ \\ = \frac{4 \sqrt{x} + 4 \sqrt{x - 2} }{x - (x - 2)} \\ \\ = \frac{4 \sqrt{x} + 4 \sqrt{x - 2} }{x - x + 2} \\ \\ = \frac{4( \sqrt{x} + \sqrt{x - 2} ) }{ 2} \\ \\= 2( \sqrt{x} + \sqrt{x - 2} )[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]


Related Questions

Part A

Whose scatter plot matches the data, and what is wrong with the incorrect scatter plot?

Answers

Answer: hello your question has some missing data attached below is the missing data

answer:

The second scatter plot

Step-by-step explanation:

The scatter plot that matched the data is the second scatter plot while the first scatter plot wrongly represents the data because values of the Iron not present in the data is also represented in the scatter plot and also some values present in the data table is also missing in the First scatter plot

Answer:

Hello, I am currently doing the same assignment and the brothers scatter plot would be wrong.

Step-by-step explanation:

If you do not believe me then check and see how the table says the iron used were 2, 3, 4, 5, 6, 7, 8, and 9 but in the brothers scatter plot it is shown to have the irons down as 1, 2, 3, 4, 5, 6, 7, and 8.

(in other words the other person who answered is correct)

Which linear function has the steepest slope?
y = negative 8 x + 5
y minus 9 = negative 2 (x + 1)
y = 7 x minus 3
y + 2 = 6 (x + 10)

Answers

Answer:

y minus 9 = negative 2 (x + 1)

Step-by-step explanation:

i put it onto desnos graphing calculater and thats what i got

Answer:

A

Step-by-step explanation:

bannana

Please help me i'm struggling!

Answers

Answer:

c

Step-by-step explanation:

Answer:

x is greater than or equal to 3

So it is the first answer.

please help me with this .

Answers

Answer:

20:1

Step-by-step explanation:

every 20 dollar she spends she save 1 dollar

I NEED HELP PLEASE ITS A SOLVE FOR X PROBLEM :(

Answers

Answer:

x = 4

Step-by-step explanation:

6(6 + x) = 5(5 + x + 3) => secant secant theorem

36 + 6x = 5(8 + x)

36 + 6x = 40 + 5x

Subtract 36 from each side

36 + 6x - 36 = 40 + 5x - 36

6x = 4 + 5x

Subtract 5x from each side

6x - 5x = 4 + 5x - 5x

x = 4

NEED HELP ASAP

The function f(x) = 7x + 1 is transformed to function g through a horizontal compression by a factor of 1/3. What is the equation of function g?

Substitute a numerical value for k into the function equation.

Answers

Step-by-step explanation:

x' = ⅓ x => x = 3x'

f'(x) = 7(3x')+1

= 21x' + 1

so g(x) = 21x + 1

For each steak, lobster, or chicken dinner in a restaurant, you have a choice of french fries or mashed potatoes. You get a choice of Water or Iced Tea to drink. If all combinations are equally likely to be ordered, find the sample space of the possible outcomes.

Answers

There should be 36 combinations that you should be able to do! I hope this helps!

Please help I’ll give brainliest

Answers

Answer:

33

Step-by-step explanation:

The formula for solving the area of a Trapezoid is a+b/2*h if we substitute the value to 16+3/2*3 it will equal 33

On a coordinate plane, a line goes through points (1, negative 1) and (2, 4). This graph displays a linear function. What is the rate of change? Rate of change =

Answers

Answer:

5

just took the test

Answer:

Step-by-step explanation:

its 5

a b and c of a right angled are in the ratio 7:18:11

the smallest angle is 35

work out angles a b and c

Answers

Answer:

a=35° b=90° c=55°

Step-by-step explanation:

7:18:11

total ratio=7+18+11

=36

The smallest angle(a)

7/36 x s=35

7s/36=35

7s=35x36

7s=1260

7s/7=1260/7

s=180°

second angle (b)

18/36x180

=90°

third angle (c)

11/36x180

=55°

what is nine times a number x, in algebraic expression?​

Answers

Answer:

Not possible to answer.

the answer would be 9x :)

Mary has 2 blouses (1 Red and 1 blue) and 3 pair of slacks (1 yellow and 1 white and 1 green).


If Mary choose 1 blouse and 1 pair of slacks at random , what is the probability that the outfit she chooses will include a pair of green slacks?

Answers

Answer:

1/3, the information with the blouses is there to distract you

Find the value of x

Answers

Answer:

X+6+2x=180

6+3x=180

3x=172

x=57 1/3

given m||n, find the value of x

Answers

Answer:

170º

Step-by-step explanation:

The angles are supplementary

x = 180 - 10

x = 170

the value of x is 170°

This is my hw. heelp

Answers

Answer:

1/14

Step-by-step explanation:

Alan recorded the points he scored on the basketball court in ms2 school yard. What is the mean absolute deviation of his scores

Answers

Answer:

The mean absolute deviation is: 7.44

Step-by-step explanation:

Given

[tex]Scores: 98, 78, 84, 75, 91[/tex]

Required

The mean absolute deviation

First, calculate the mean

[tex]\bar x = \frac{\sum x}{n}[/tex]

[tex]\bar x = \frac{98+78+84+75+91}{5}[/tex]

[tex]\bar x = \frac{426}{5}[/tex]

[tex]\bar x = 85.2[/tex]

The mean absolute deviation (M) is:

[tex]M = \frac{1}{n}\sum|x - \bar x|[/tex]

So, we have:

[tex]M = \frac{1}{5}(|98 - 85.2|+|78 - 85.2|+|84 - 85.2|+|75 - 85.2|+|91 - 85.2|)[/tex]

[tex]M = \frac{1}{5}(|12.8|+|-7.2|+|-1.2|+|-10.2|+|5.8|)[/tex]

Remove absolute brackets

[tex]M = \frac{1}{5}(12.8+7.2+1.2+10.2+5.8)[/tex]

[tex]M = \frac{1}{5}*37.2[/tex]

[tex]M = 7.44[/tex]

calculate the amount that will be in the bank after 4years if R3500 was invested at 9% p.a. simple interest​

Answers

Answer:

4760

Step-by-step explanation:

Simple interest= principal× time ×rate/100

=3500×4×9/100

= 1260

Amount that will be in the bank after 4years= 3500+1260

=4760

Find the circumference of a circle with radius, r = 6.5m.
Give your answer in terms of pie

Answers

Answer:

13π m

Step-by-step explanation:

circumference of a circle = 2πr

=2*π*6.5

=13π m

Answer:

13[tex]\pi[/tex] m

Step-by-step explanation:

The formula for circumference is 2r[tex]\pi[/tex], so...

2r[tex]\pi[/tex]

2(6.5)[tex]\pi[/tex]

=13[tex]\pi[/tex]

What is the exponent for the expression 6 x 6 x 6 x 6 x 6?

Answers

Answer:

6^5

Step-by-step explanation:

Answer: 6^5

Step-by-step explanation:

Given y= -5x^2 +30x -9, find the axis of symmetry.

x= -30
x= 6
x= 3
x= -3

Answers

Answer:

8

Step-by-step explanation:

pls mark me brainliest

-5(x²-6x+9)+45-9

-5(x-3)²+36

Standard form

y= a(x-p)²+q

a=-5,p= 3 and q=36

axis of symmetry :x= p

=>x= 3

Hope it helps you...

does anyone know the answer for his ?

Answers

the answer is B :) i answered the other one
the answer is B x=1+2i,1−2i

Please help I’ll give brainliest

Answers

Answer:

B. $1650

Step-by-step explanation:

the middle share = 3/(2+3+5) × $5500

= 3/10 × $5500 = $1650

Please help me with this question!!

Answers

Answer:

ok so for g times h you would have to foil it and then you would multiply it by f of X

Using the equation
[tex] \sqrt{x + 7} + 5 = x[/tex]
, are both x = 2 and x = 9 solutions or are one/both of them extraneous solutions? Explain.​

Answers

Given:

The equation is:

[tex]\sqrt{x+7}+5=x[/tex]

To find:

Whether [tex]x=2[/tex] and [tex]x=9[/tex] both are solutions or one/both of them extraneous solutions.

Solution:

We have,

[tex]\sqrt{x+7}+5=x[/tex]

Subtract 5 from both sides.

[tex]\sqrt{x+7}=x-5[/tex]

Taking square on both sides, we get

[tex]x+7=(x-5)^2[/tex]

[tex]x+7=x^2-10x+25[/tex]

[tex]0=x^2-10x+25-x-7[/tex]

[tex]0=x^2-11x+18[/tex]

Splitting the middle term, we get

[tex]x^2-2x-9x+18=0[/tex]

[tex]x(x-2)-9(x-2)=0[/tex]

[tex](x-2)(x-9)=0[/tex]

[tex]x=2,9[/tex]

Now, substitute [tex]x=2[/tex] in the given equation.

[tex]\sqrt{2+7}+5=2[/tex]

[tex]\sqrt{9}+5=2[/tex]

[tex]3+5=2[/tex]

[tex]8=2[/tex]

This statement is false because [tex]8\neq 2[/tex]. So, 2 is an extraneous solution.

Substitute [tex]x=9[/tex] in the given equation.

[tex]\sqrt{9+7}+5=9[/tex]

[tex]\sqrt{16}+5=9[/tex]

[tex]4+5=9[/tex]

[tex]9=9[/tex]

This statement is true. So, 9 is a solution of given equation.

Therefore, 2 is an extraneous solution and 9 is a solution of given equation.

Find the area of the triangle on problem #7 and what statement in true for the triangle on #8

Answers

Answer:

Step-by-step explanation:

Using the pythagorean theorem, a^2+b^2=c^2

32/2=16, 20 would be the hypotenuse, so it would be 20^2-16^2=a^2 because we want to find the middle line. 400-256=144. sqrt(144) = 12.

Then since it is an isosceles triangle, we can simply do 12*16=192

The answer for 7 is 192ft^2

For #8, the answer is short leg * sqrt(3) = long leg

On another note, you can find the hypotenuse of a 30-60-90 triangle by doubling the shortest leg

Find the surface area plzzzzzz

Answers

Answer:

184 m²

Step-by-step explanation:

Surface Area = 2(10*2) + 2(10*6) + 2(2*6)

Surface Area = 2(20 + 60 + 12)

Surface Area = 2(92)

Surface Area = 184 m²

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Please help me I would really appreciate it, If you can't that is okay but please try!

Answers

Answer:

Either A or B

Step-by-step explanation:

Its not C or D sorry I couldn't be much help, but I hope that makes it a bit easier?

What are the measures of

1
and

2
? Show your work or explain your answers.

Answers

Answer:

Step-by-step explanation:

angle 2 is 75 degree because angle 2 and 75 dgeree are corresponding angles corresponding angles are always equal.

angle 1 + angle 2 = 180 degree (being linear pair)

angle 1 = 180 - 75

angle 1 = 105 degree

∠1 = 105° and ∠2 = 75°

What are parallel lines?

"These are the lines in the same plane that are at equal distance from each other and never meet."

What is transversal?

"It is a line that passes through two lines in the same plane at two distinct points."

What are corresponding angles?

"The angles which are formed in matching corners or corresponding corners with the transversal when the transversal intersects two parallel lines."

For given question,

Line c and line d are parallel lines.

These parallel lines are intersected by a transversal.

We can observe that ∠2 and the angle that measures 75° are corresponding angles.

We know that the corresponding angles are congruent.

⇒ ∠2 = 75°

Also, the sum of all angles on either side of the line is 180°

⇒ ∠1 + ∠2 = 180°

⇒ ∠1 + 75° = 180°

⇒ ∠1 = 105°

Therefore, ∠1 = 105° and ∠2 = 75°

Learn more about parallel lines and transversal here:

https://brainly.com/question/17432060

#SPJ3

how many solutions are there to the system of equations graphed below if the lines are parallel ?

Answers

A. Zero

They're parallel so they will never intersect therefore: no solutions :]

Question 1 of 5 Shelley has a bag containing three balls: one red, one yellow, and one green. All balls are equally likely to be chosen. Shelley will choose one ball without looking in the bag. What is the probability that Shelley will choose the yellow ball out of the bag? ​

Answers

1/3 or 33.3333% :)) hope this helps

Answer:

1/3=33 1/3%

Step-by-step explanation:

Since there is 3 balls.

Other Questions
A random sample of 30 patties that were inspected over the course of the last week revealed that the average weight was 95.0 grams. The standard deviation was 0.25 grams. What percentage of the deliveries is likely to be outside the specification limits (outside the interval of [94.5, 95.5]) Which of the following is an example of a cardinal number?any number that is smaller than 100Oba number that defines the place of something in a lista number that defines the quantity of somethingOdany number that is signed with one gesture State the 4 Reasons for American entry into WW1 Political party affiliation is believed to be a very strong indicator of how voters will vote in Presidential Elections. You are interested in determining if voter party loyalty has changed since 1992. During the 1992 election, the proportion of self-proclaimed Republicans who voted for George H. W. Bush was 0.924. During the 2012 election, in a survey of 277 Republican voters, 213 indicated that they had voted for Mitt Romney. The 90% confidence interval for this proportion is ( 0.7273 , 0.8106 ). What is the best conclusion you can make from this information that is listed below Read the passage from "The Willow-Wren and the Bear."When the fox felt the first sting, he started so that he lifted one leg, from pain, but he bore it, and still kept his tail high in the air; at the second sting, he was forced to put it down for a moment; at the third, he could hold out no longer, screamed, and put his tail between his legs. When the animals saw that, they thought all was lost, and began to flee, each into his hole, and the birds had won the battle.Then the King and Queen flew home to their children and cried: "Children, rejoice, eat and drink to your heart's content, we have won the battle! But the young wrens said: "We will not eat yet, the bear must come to the nest, and beg for pardon and say that we are honourable children, before we will do that. Then the willow-wren flew to the bear's hole and cried: "Growler, you are to come to the nest to my children, and beg their pardon, or else every rib of your body shall be broken. So the bear crept thither in the greatest fear, and begged their pardon. And now at last the young wrens were satisfied, and sat down together and ate and drank, and made merry till quite late into the night.Which excerpt from the passage encompasses the falling action of the story?When the fox felt the first sting, he started so that he lifted one leg, from pain, but he bore it, and still kept his tail high in the air.When the animals saw that, they thought all was lost, and began to flee, each into his hole, and the birds had won the battle.Then the King and Queen flew home to their children and cried: Children, rejoice, eat and drink to your heart's content, we have won the battle!And now at last the young wrens were satisfied, and sat down together and ate and drank, and made merry till quite late into the night. can someone help me please Fill in the blank with the correct conjugation of the verb in parentheses.Nosotros _____ (salir) a las ocho de la maana.salimossalensalessale The secret number has 5 digits: 3, 9, 1, 6, 2The digit in the tens place is a prime numberThe digit in the ten thousands place is 3 times the digit in the tens placeThe secret number rounds to 90,000.The difference of the digits in the hundreds place and ones place is 5.The digit in the hundreds Which example below is a concern related to nuclear energy?long-term storage of wastesupplemental energy may be needed if weather is not ideal for energy collectioncan be unsightly and/or noisypotential for floods Find the value of x. Which two people would be eligible to serve as president?A 29-year-old person who was born and grew up in ArgentinaA 50-year-old person who was born and grew up in MinnesotaA 45-year-old person who was born in Iowa and has lived in Japan since early childhoodA 60-year-old person who was born in the United States and lived in Europe for five yearsA 40-year-old person who has only lived in the United States for the past seven years simplify x^0 y^-3/x^2y^-1 Solve -7u = -21 for u. u = Identify the property being demonstrated for each expression.13+ (5 + 7) = (3 + 5) + 7(3)[5(7)] = (3)[7(5)5 + 0 = 5 Help please I dont know how to do this The table lists some organelles and functions. Only one pair is correctly matched.Functions of OrganellesOrganelle FunctionChloroplast Stores water and waste materialsCell wall Supports cell membrane, maintains cell shape, and protects cellCell membrane Breaks down waste materials and debrisVacuole Produces proteins for the cellWhich organelle in the table is correctly matched with its function? who is a kpop stand here? help plz!![tex]x^2-x-6=0[/tex] PLSSS HELP ill give brainliest if correctJimmys transformation suggests this theme present in A Retrieved Reformation.People can change for the better when motivatedThere is no hopePeople never fundamentally changeJimmy is a static character who falls in love He decided to .........his regular press conference. Option 1: call off Option 2: move in Option 3: log off Option 4: break into