Rationalize the denominator and simplify. I will give brainliest
(\sqrt(a+1)-2)/(\sqrt(a+1)+2)

Answers

Answer 1

Answer:

(\sqrt(a+1)-2)^2/a+1-4=[a+5-4(\sqrt(a+1)]/(a-3)

Step-by-step explanation:

To rationalize the denominator, you have to multiply the denominator and the numerator by (\sqrt(a+1)-2) (which doesn't change the value of the fraction)

You get: (\sqrt(a+1)-2)^2/a+1-4=[a+5-4(\sqrt(a+1)]/(a-3)


Related Questions

The graph of the function has slope of 1 and y-intercept of -6.​

Answers

Answer:

y=1x-6

Step-by-step explanation:

y=mx+c

c = -6

m = 1

therefore

y= mx+c

y = 1x-6

In which quadrant does the point (-6,4) lie?

Answers

Second quadrant it’s in the left side

Calculate the measure of angle L

Answers

Answer:   15

==================================================

Explanation:

Lines LM and LP are tangent to the circle at points M and P respectively. The dashed radius lines are perpendicular to those tangents, which means we have 90 degree angles at points M and P.

For any quadrilateral, the four angles always add to 360 degrees.

L+M+O+P = 360

L+90+165+90 = 360

L+345 = 360

L = 360-345

L = 15

Another route you can use is the fact that opposite angles L and O are supplementary

L+O = 180

L+165 = 180

L = 180-165

L = 15

Charnise uses 3 gal. red paint to 5 gal. white paint to make pink paint. She
needs 24 gal. of pink paint. How many gallons of red paint will she need?

Answers

The method into creating pink paint is mixing 3 gallons of red paint and 5 gallons of white paint together. This mixture only creates 8 gallons of paint and she needs 16 more. List the factors of 16:

1, 2, 4, 8, and 16

We notice that 8 can be factored out of 16 and becomes:

16 / 8 = 2

If we multiply the sample by 3 (the one already counted plus the two extra), we can discover how much paint is needed. Multiply everything by 3:

3 x 3 = 9

5 x 3 = 15

So in this case, 15 gallons of white paint and 9 gallons of red paint are need and combine for 24 gallons in total.

The top row contains solutions for the value of c. The bottom row contains equations that must be solved to find c. Drag each solution into the box with the matching equation.

7


20


12


9


c is 4 times as many as 5.


27 is c times as many as 3.


6 times as many as c is 72.


8 more than c is 15.
which one is it??

Answers

1. c is 4 times as many as 5 = 20
2. 27 is c times as many as 3 = 9
3. 6 times as many as c is 72 = 12
4. 8 more than c is 15 = 7
Pls give me the brainliest if these are right. Hope this helps

44,880 2 poir 8) A pen cost $39 and a pencil cost $17 less. What is the total cost of one pen and two pencils? *​

Answers

Answer:

check online for more information

Which statements are true about the scatter plot? Select all that apply:
(Graph is attached)

A. Most players are between 60 & 70in tall
B. Players scored between 40 & 80 points
C. There is an outlier at about (70,23)
D. There is a weak positive association between height & points scored

Answers

Answer:Nooo please don’t put B. It’s A,C, and D

Step-by-step explanation:

To train for an upcoming marathon, Susie plans to run 2 miles per day the first week and then increase the daily distance by a half a mile each of the following weeks.

There are many ways to approach this problem.




Week Miles

1 2

2 2.5

3 3

4 3.5

5 4

6 4.5


Write an equation to represent the nth term of the sequence.

Answers

Answer:

f(x)= .5x + 2

Step-by-step explanation:

Now this is not to complicated

first the constant is 2

after each day she gains .5 miles

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation to represent the nth term of the sequence is y=0.5x+2.

What is the equation of a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

Let the distance travelled by Susie in any week,x be represented by y.

Given that Susie will run 2 miles in the initial or in the first week. Therefore, the distance for the initial work week will be,

Initial distance =  y-intercept = c = 2

Further, if the daily distance is increased by half a mile each of the following weeks. Therefore, the slope of the equation is the change in the distance, therefore, we can write,

Slope, m = Change in the distance = 0.5

Now, if the equation represents the nth term of the sequence, then we can write,

y = mx + c

y = 0.5x + 2

Hence, the equation to represent the nth term of the sequence is y=0.5x+2.

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Which congruence criteria is met in the following scenario?
ASA
SAS
HL
AAS
SSS

Answers

Answer:

B) SAS

Step-by-step explanation:

Answer: SAS

Explanation:

SAS = side angle side

The sides with the tickmarks form one pair of congruent sides, and refer to the first "S" of "SAS".

The marked angles are congruent, and they refer to the "A" in "SAS".

Lastly, the overlapping or shared side TJ leads to the second "S" of "SAS".

Notice how the angles are between the sides mentioned. The order is important.

2. A group of 40 subjects was divided into two groups with one group given an energy drink and one group
given water. The subjects were then given a spelling test and
the mean number of words correctly spelled was
recorded for each member of the two groups. This experiment was designed this way to quantify which of the
following types of variability?
(1) natural
(3) induced
(2) sampling
(4) measurement

Answers

The design of the experiment was done to quantify induced variability.

What is induced variability?

Induced variability is when a variable that is not naturally present in the experiment is introduced into the experiment in order to test the response of respondents to the variable introduced. The artificial variable that was introduced into the experiment was energy drinks.

To learn more about induced variability, please check: https://brainly.com/question/17290441

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pls help me answer this it's due today​

Answers

Answer:

I think its 21 But if its times then its 240

Step-by-step explanation:

Hope this helped

Answer:

120

Step-by-step explanation:

formula for volume is area×height

so

v=1 /2b×h×l

v=1/2×5×4×12

v=2.5×4×12

v=10×12

[tex]v= {120cm}^{3} [/tex]

I have no clue lol
I accidently put supplementary so ignore that.​

Answers

Answer:

5. Vertical

6. 133°

Step-by-step explanation:

These are vertical angles; Vertical angles are congruent. Therefore, x = 133°.

this is the question.



solve (3.4)x(0.2)

Answers

Answer:

0.68

Step-by-step explanation:

Answer:

0.68

Step-by-step explanation:

Solve the inequalities d/13_>-3

Answers

Answer:

d > -39

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

find the missing value y=-2+4

Answers

Answer:

y = 2

Step-by-step explanation:

First, we notice that the larger number (4) is positive, while the smaller number (2) is negative. Therefore our answer will be positive. We can rearrange the number sentence to look like 4-2, which gives us our solution of 2.

Order the expressions by choosing >,<,or =

Answers

Answer:

==<

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(c^b) = (ac)^b

  (a^b)(a^c) = a^(b+c)

__

1. 3^3 × 5^3 = (3×5)^3 = 15^3 . . . . equal

2. 3^5 × 3^3 = 3^(5+3) = 3^8 . . . . equal

3. 3^5 × 5^3 = 3^5 × (5^(5 -2) = (3^5 × 5^5) × 5^(-2)

  = 15^5 × 5^-2 < 15^15 . . . . less than

_____

Additional comment

Your calculator can evaluate these expressions so you can see their relationships.

What is the square root of 12a^3b^5 times the square root of 6ab^2?

Answers

Step-by-step explanation:

sqrt(12×a³b⁵) × sqrt(6×ab²)

the content of multiplied square roots can be combined into one square root :

sqrt(12×6×a³×a×b⁵×b²) = sqrt( 72a⁴b⁷) =

= sqrt(4×9×2 × a⁴ ×b⁶×b) = 2×3×a²×b³×sqrt(2b) =

= 6a²b³×sqrt(2b)

If my friend answers this question under 5 seconds he's a god

Answers

x = 9

Scale size is 3 so multiply all terms in ABC by 3.

Catherine walks her dog
[tex] \frac{3}{4} [/tex]
mile everyday. How far does she walk each week?:

Answers

Answer:

[tex]5\frac{1}{4}[/tex]

Step-by-step explanation:

Catherine walks her dog 3/4 a mile everyday.

We want to find how far she walks each week.

There are 7 days a week and she walks 3/4 a mile everyday so weekly she walks 3/4 * 7 = 5  1/4 mile a week.

5.25 miles or 21/4 miles

3/4 x 7 = 5.25 (21/4 in fractions)

Is this relation a function? Justify your answer.
11
10
.
9
8
7
6
5
.
- NAU
4
3
2
1 2 3 4 5 6 7 8 9 10 11
O A. Yes, because every x-value corresponds with a single y-value.
O B. Yes, because the number of x-values is the same as the number of
y-values.
O C. Yes, because every x- and y-value is positive.
D. No, because two points with the same y-value have different x-
values.
st

Answers

The reason why the given graph relation is considered to be a function is because;

A. Yes, because every x-value corresponds with a single y-value.

From the given graph, we see the (x, y) coordinates as;

(5, 4)

(7, 2)

(6, 9)

(3, 10)

Now, we see that none of the x-values are the same and likewise none of the y-values are the same.

This means that each of the x-values have a unique y-value.

Thus, it can be said to be a function

Read more about properties of functions at;https://brainly.com/question/18427017

Alguien me dice que debo hacer aqui porfavor es para un examen

Answers

Answer:

Cuando tenga problemas con una pregunta, venga aquí y también lo ayudaremos si no recibe la pregunta, intente omitirla.

Step-by-step explanation:

Pls help me it’s due at 12:00

Answers

Step-by-step explanation:

# easy learning

good luck and god Blees

Ok done. Thank to me :>

A line of best fit is f(x) ≈ −0.86x + 13.5 for the set of points in the table.

A 2-column table with 7 rows. The first column is labeled x with entries 2, 3, 5, 6, 7, 8, 9. The second column is labeled f(x) with entries 12, 10, 10, 8, 9, 5, 6.

Using the equation for the line of best fit, what is a good approximation for the value of the function, f(x), when x = 18?

−5
−2
3
12

Answers

Answer:

-2

Step-by-step explanation:

f(x)≈ -0.86x+13.5

  putting x=18 in f(x), we get

    f(x)≈ -0.86×18+13.5

 ⇒      f(x)≈ -15.48+13.5

 ⇒      f(x)≈ -1.98

 ⇒      f(x)≈ -2

Answer:B

Step-by-step explanation:

The answer is B also known as -2

Help needed read carefully

I got a 30 on a math test and t hmm e only way to get 65 (passing grade) is to solve the mystery number


I am a factor of 5 and when you pair me up with 15 I am almost a gcm of 30
I am larger than 20 and less than 40
what number am i?

Answers

Answer:

4

Step-by-step explanation:

The factors of 5 and 15 are 1, 5 and 1, 3, 5, 15 respectively.

How many factors does 15 have?

4 factors

Factors of 15 are the list of integers that can be evenly divided into 15. It has a total of 4 factors of which 15 is the biggest factor and the positive factors of 15 are 1, 3, 5, and 15.

i need help with this!!

Answers

Answer:

Kim is younger than 6 years

Step-by-step explanation:

Answer:

Step-by-step explanation:

pls answer quickly

A pool charges $7 for 2 daily pool passes. Which table could represent the situation?​

Answers

Answer: B

Step-by-step explanation: This answer can be found by just doing process of elimination. A has the numbers switched around, C and D has 2 adding by ones and 7 multipying. Mathmaticlly finding the answer for B, 2 is multiplying my 2, 3 and 4. First, you have 4, then you have 6, and last you have 8. 7 is doing the same thing. 7 multiplied by 2 gives you 14, by 3 gives you 21 and by 4 gives you 28.

All I need is the answer Please and thank you

Answers

Should be 40ft. If not, I dearly apologize.

Answer:

40ft tall

Step-by-step explanation:

Hope this helps :)

* Help!
* Need steps!
* Answer only if you know, thanks!

Answers

[tex]\text{Given that,}~3x-y = 12\\\\\\\dfrac{8^x}{2^y} =\dfrac{(2^3)^x}{2^y } = \dfrac{2^{3x}}{2^y} = 2^{3x-y} = 2^{12}[/tex]

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's solve ~

[tex] \sf3x - y = 12[/tex]

[tex] \sf3x = y + 12[/tex]

now, evaluate the value of given expression ~

[tex] \sf \dfrac{ {8}^{x} }{ {2}^{y} } [/tex]

[tex] \sf \dfrac{{(2 {}^{3} ) }^{x} }{ {2}^{y} } [/tex]

[tex] \sf \dfrac{2 {}^{3x} }{ {2}^{y} } [/tex]

Now, plug the value of 3x from the previous equation ~

[tex] \sf \dfrac{(2 ){}^{y + 12} }{ {2}^{y} }[/tex]

[tex] \sf2 {}^{ \ \cancel y + 12 - \cancel y} [/tex]

[tex] \sf{2}^{12} [/tex]

Therefore , the required expression is ~ 2¹²

7y-9=-3
What is the value of 9? HELP!!!

Answers

wait im wrong i didnt even read that correctly

Answer:

Sry but I don't understand what you wrote

Step-by-step explanation:

The rocket club is 60% boys. The number of boys is 3 less than 2 times the number of girls. Hov
many girls and how many boys are in the club?

Answers

Answer:

no of girls - 300

no of boys - 450

no of girls - 6

no of boys - 9

What is algebraic expression?

A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation. Word illustration: The product of 8 and 3. Word illustration: The product of 8 and 3 is 11

Given

Let boys be x and girls y

x = 2y-3

x - 2y = -3 ------(i)

x = 60/100(x+y)

10x = 6x + 6y

4x = 6y

2x = 3y

2x - 3y =0------(ii)

Subtract (ii) from (i)*2

no of girls - 6

no of boys - 9

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